MagickCore  7.0.3
morphology.c
Go to the documentation of this file.
1 /*
2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
3 % %
4 % %
5 % %
6 % M M OOO RRRR PPPP H H OOO L OOO GGGG Y Y %
7 % MM MM O O R R P P H H O O L O O G Y Y %
8 % M M M O O RRRR PPPP HHHHH O O L O O G GGG Y %
9 % M M O O R R P H H O O L O O G G Y %
10 % M M OOO R R P H H OOO LLLLL OOO GGG Y %
11 % %
12 % %
13 % MagickCore Morphology Methods %
14 % %
15 % Software Design %
16 % Anthony Thyssen %
17 % January 2010 %
18 % %
19 % %
20 % Copyright 1999-2019 ImageMagick Studio LLC, a non-profit organization %
21 % dedicated to making software imaging solutions freely available. %
22 % %
23 % You may not use this file except in compliance with the License. You may %
24 % obtain a copy of the License at %
25 % %
26 % https://imagemagick.org/script/license.php %
27 % %
28 % Unless required by applicable law or agreed to in writing, software %
29 % distributed under the License is distributed on an "AS IS" BASIS, %
30 % WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. %
31 % See the License for the specific language governing permissions and %
32 % limitations under the License. %
33 % %
34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
35 %
36 % Morphology is the application of various kernels, of any size or shape, to an
37 % image in various ways (typically binary, but not always).
38 %
39 % Convolution (weighted sum or average) is just one specific type of
40 % morphology. Just one that is very common for image bluring and sharpening
41 % effects. Not only 2D Gaussian blurring, but also 2-pass 1D Blurring.
42 %
43 % This module provides not only a general morphology function, and the ability
44 % to apply more advanced or iterative morphologies, but also functions for the
45 % generation of many different types of kernel arrays from user supplied
46 % arguments. Prehaps even the generation of a kernel from a small image.
47 */
48 
49 /*
50  Include declarations.
51 */
52 #include "MagickCore/studio.h"
53 #include "MagickCore/artifact.h"
54 #include "MagickCore/cache-view.h"
55 #include "MagickCore/channel.h"
57 #include "MagickCore/enhance.h"
58 #include "MagickCore/exception.h"
60 #include "MagickCore/gem.h"
61 #include "MagickCore/gem-private.h"
62 #include "MagickCore/image.h"
64 #include "MagickCore/linked-list.h"
65 #include "MagickCore/list.h"
66 #include "MagickCore/magick.h"
67 #include "MagickCore/memory_.h"
70 #include "MagickCore/morphology.h"
72 #include "MagickCore/option.h"
75 #include "MagickCore/prepress.h"
76 #include "MagickCore/quantize.h"
77 #include "MagickCore/resource_.h"
78 #include "MagickCore/registry.h"
79 #include "MagickCore/semaphore.h"
80 #include "MagickCore/splay-tree.h"
81 #include "MagickCore/statistic.h"
82 #include "MagickCore/string_.h"
85 #include "MagickCore/token.h"
86 #include "MagickCore/utility.h"
88 
89 /*
90  Other global definitions used by module.
91 */
92 #define Minimize(assign,value) assign=MagickMin(assign,value)
93 #define Maximize(assign,value) assign=MagickMax(assign,value)
94 
95 /* Integer Factorial Function - for a Binomial kernel */
96 #if 1
97 static inline size_t fact(size_t n)
98 {
99  size_t f,l;
100  for(f=1, l=2; l <= n; f=f*l, l++);
101  return(f);
102 }
103 #elif 1 /* glibc floating point alternatives */
104 #define fact(n) ((size_t)tgamma((double)n+1))
105 #else
106 #define fact(n) ((size_t)lgamma((double)n+1))
107 #endif
108 
109 
110 /* Currently these are only internal to this module */
111 static void
114  ExpandRotateKernelInfo(KernelInfo *, const double),
115  RotateKernelInfo(KernelInfo *, double);
116 
117 
118 /* Quick function to find last kernel in a kernel list */
119 static inline KernelInfo *LastKernelInfo(KernelInfo *kernel)
120 {
121  while (kernel->next != (KernelInfo *) NULL)
122  kernel=kernel->next;
123  return(kernel);
124 }
125 
126 /*
127 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
128 % %
129 % %
130 % %
131 % A c q u i r e K e r n e l I n f o %
132 % %
133 % %
134 % %
135 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
136 %
137 % AcquireKernelInfo() takes the given string (generally supplied by the
138 % user) and converts it into a Morphology/Convolution Kernel. This allows
139 % users to specify a kernel from a number of pre-defined kernels, or to fully
140 % specify their own kernel for a specific Convolution or Morphology
141 % Operation.
142 %
143 % The kernel so generated can be any rectangular array of floating point
144 % values (doubles) with the 'control point' or 'pixel being affected'
145 % anywhere within that array of values.
146 %
147 % Previously IM was restricted to a square of odd size using the exact
148 % center as origin, this is no longer the case, and any rectangular kernel
149 % with any value being declared the origin. This in turn allows the use of
150 % highly asymmetrical kernels.
151 %
152 % The floating point values in the kernel can also include a special value
153 % known as 'nan' or 'not a number' to indicate that this value is not part
154 % of the kernel array. This allows you to shaped the kernel within its
155 % rectangular area. That is 'nan' values provide a 'mask' for the kernel
156 % shape. However at least one non-nan value must be provided for correct
157 % working of a kernel.
158 %
159 % The returned kernel should be freed using the DestroyKernelInfo() when you
160 % are finished with it. Do not free this memory yourself.
161 %
162 % Input kernel defintion strings can consist of any of three types.
163 %
164 % "name:args[[@><]"
165 % Select from one of the built in kernels, using the name and
166 % geometry arguments supplied. See AcquireKernelBuiltIn()
167 %
168 % "WxH[+X+Y][@><]:num, num, num ..."
169 % a kernel of size W by H, with W*H floating point numbers following.
170 % the 'center' can be optionally be defined at +X+Y (such that +0+0
171 % is top left corner). If not defined the pixel in the center, for
172 % odd sizes, or to the immediate top or left of center for even sizes
173 % is automatically selected.
174 %
175 % "num, num, num, num, ..."
176 % list of floating point numbers defining an 'old style' odd sized
177 % square kernel. At least 9 values should be provided for a 3x3
178 % square kernel, 25 for a 5x5 square kernel, 49 for 7x7, etc.
179 % Values can be space or comma separated. This is not recommended.
180 %
181 % You can define a 'list of kernels' which can be used by some morphology
182 % operators A list is defined as a semi-colon separated list kernels.
183 %
184 % " kernel ; kernel ; kernel ; "
185 %
186 % Any extra ';' characters, at start, end or between kernel defintions are
187 % simply ignored.
188 %
189 % The special flags will expand a single kernel, into a list of rotated
190 % kernels. A '@' flag will expand a 3x3 kernel into a list of 45-degree
191 % cyclic rotations, while a '>' will generate a list of 90-degree rotations.
192 % The '<' also exands using 90-degree rotates, but giving a 180-degree
193 % reflected kernel before the +/- 90-degree rotations, which can be important
194 % for Thinning operations.
195 %
196 % Note that 'name' kernels will start with an alphabetic character while the
197 % new kernel specification has a ':' character in its specification string.
198 % If neither is the case, it is assumed an old style of a simple list of
199 % numbers generating a odd-sized square kernel has been given.
200 %
201 % The format of the AcquireKernal method is:
202 %
203 % KernelInfo *AcquireKernelInfo(const char *kernel_string)
204 %
205 % A description of each parameter follows:
206 %
207 % o kernel_string: the Morphology/Convolution kernel wanted.
208 %
209 */
210 
211 /* This was separated so that it could be used as a separate
212 ** array input handling function, such as for -color-matrix
213 */
214 static KernelInfo *ParseKernelArray(const char *kernel_string)
215 {
216  KernelInfo
217  *kernel;
218 
219  char
220  token[MagickPathExtent];
221 
222  const char
223  *p,
224  *end;
225 
226  register ssize_t
227  i;
228 
229  double
230  nan = sqrt((double)-1.0); /* Special Value : Not A Number */
231 
233  flags;
234 
236  args;
237 
238  kernel=(KernelInfo *) AcquireQuantumMemory(1,sizeof(*kernel));
239  if (kernel == (KernelInfo *) NULL)
240  return(kernel);
241  (void) memset(kernel,0,sizeof(*kernel));
242  kernel->minimum = kernel->maximum = kernel->angle = 0.0;
243  kernel->negative_range = kernel->positive_range = 0.0;
244  kernel->type = UserDefinedKernel;
245  kernel->next = (KernelInfo *) NULL;
247  if (kernel_string == (const char *) NULL)
248  return(kernel);
249 
250  /* find end of this specific kernel definition string */
251  end = strchr(kernel_string, ';');
252  if ( end == (char *) NULL )
253  end = strchr(kernel_string, '\0');
254 
255  /* clear flags - for Expanding kernel lists thorugh rotations */
256  flags = NoValue;
257 
258  /* Has a ':' in argument - New user kernel specification
259  FUTURE: this split on ':' could be done by StringToken()
260  */
261  p = strchr(kernel_string, ':');
262  if ( p != (char *) NULL && p < end)
263  {
264  /* ParseGeometry() needs the geometry separated! -- Arrgghh */
265  memcpy(token, kernel_string, (size_t) (p-kernel_string));
266  token[p-kernel_string] = '\0';
267  SetGeometryInfo(&args);
268  flags = ParseGeometry(token, &args);
269 
270  /* Size handling and checks of geometry settings */
271  if ( (flags & WidthValue) == 0 ) /* if no width then */
272  args.rho = args.sigma; /* then width = height */
273  if ( args.rho < 1.0 ) /* if width too small */
274  args.rho = 1.0; /* then width = 1 */
275  if ( args.sigma < 1.0 ) /* if height too small */
276  args.sigma = args.rho; /* then height = width */
277  kernel->width = (size_t)args.rho;
278  kernel->height = (size_t)args.sigma;
279 
280  /* Offset Handling and Checks */
281  if ( args.xi < 0.0 || args.psi < 0.0 )
282  return(DestroyKernelInfo(kernel));
283  kernel->x = ((flags & XValue)!=0) ? (ssize_t)args.xi
284  : (ssize_t) (kernel->width-1)/2;
285  kernel->y = ((flags & YValue)!=0) ? (ssize_t)args.psi
286  : (ssize_t) (kernel->height-1)/2;
287  if ( kernel->x >= (ssize_t) kernel->width ||
288  kernel->y >= (ssize_t) kernel->height )
289  return(DestroyKernelInfo(kernel));
290 
291  p++; /* advance beyond the ':' */
292  }
293  else
294  { /* ELSE - Old old specification, forming odd-square kernel */
295  /* count up number of values given */
296  p=(const char *) kernel_string;
297  while ((isspace((int) ((unsigned char) *p)) != 0) || (*p == '\''))
298  p++; /* ignore "'" chars for convolve filter usage - Cristy */
299  for (i=0; p < end; i++)
300  {
301  GetNextToken(p,&p,MagickPathExtent,token);
302  if (*token == ',')
303  GetNextToken(p,&p,MagickPathExtent,token);
304  }
305  /* set the size of the kernel - old sized square */
306  kernel->width = kernel->height= (size_t) sqrt((double) i+1.0);
307  kernel->x = kernel->y = (ssize_t) (kernel->width-1)/2;
308  p=(const char *) kernel_string;
309  while ((isspace((int) ((unsigned char) *p)) != 0) || (*p == '\''))
310  p++; /* ignore "'" chars for convolve filter usage - Cristy */
311  }
312 
313  /* Read in the kernel values from rest of input string argument */
315  kernel->width,kernel->height*sizeof(*kernel->values)));
316  if (kernel->values == (MagickRealType *) NULL)
317  return(DestroyKernelInfo(kernel));
318  kernel->minimum=MagickMaximumValue;
319  kernel->maximum=(-MagickMaximumValue);
320  kernel->negative_range = kernel->positive_range = 0.0;
321  for (i=0; (i < (ssize_t) (kernel->width*kernel->height)) && (p < end); i++)
322  {
323  GetNextToken(p,&p,MagickPathExtent,token);
324  if (*token == ',')
325  GetNextToken(p,&p,MagickPathExtent,token);
326  if ( LocaleCompare("nan",token) == 0
327  || LocaleCompare("-",token) == 0 ) {
328  kernel->values[i] = nan; /* this value is not part of neighbourhood */
329  }
330  else {
331  kernel->values[i] = StringToDouble(token,(char **) NULL);
332  ( kernel->values[i] < 0)
333  ? ( kernel->negative_range += kernel->values[i] )
334  : ( kernel->positive_range += kernel->values[i] );
335  Minimize(kernel->minimum, kernel->values[i]);
336  Maximize(kernel->maximum, kernel->values[i]);
337  }
338  }
339 
340  /* sanity check -- no more values in kernel definition */
341  GetNextToken(p,&p,MagickPathExtent,token);
342  if ( *token != '\0' && *token != ';' && *token != '\'' )
343  return(DestroyKernelInfo(kernel));
344 
345 #if 0
346  /* this was the old method of handling a incomplete kernel */
347  if ( i < (ssize_t) (kernel->width*kernel->height) ) {
348  Minimize(kernel->minimum, kernel->values[i]);
349  Maximize(kernel->maximum, kernel->values[i]);
350  for ( ; i < (ssize_t) (kernel->width*kernel->height); i++)
351  kernel->values[i]=0.0;
352  }
353 #else
354  /* Number of values for kernel was not enough - Report Error */
355  if ( i < (ssize_t) (kernel->width*kernel->height) )
356  return(DestroyKernelInfo(kernel));
357 #endif
358 
359  /* check that we recieved at least one real (non-nan) value! */
360  if (kernel->minimum == MagickMaximumValue)
361  return(DestroyKernelInfo(kernel));
362 
363  if ( (flags & AreaValue) != 0 ) /* '@' symbol in kernel size */
364  ExpandRotateKernelInfo(kernel, 45.0); /* cyclic rotate 3x3 kernels */
365  else if ( (flags & GreaterValue) != 0 ) /* '>' symbol in kernel args */
366  ExpandRotateKernelInfo(kernel, 90.0); /* 90 degree rotate of kernel */
367  else if ( (flags & LessValue) != 0 ) /* '<' symbol in kernel args */
368  ExpandMirrorKernelInfo(kernel); /* 90 degree mirror rotate */
369 
370  return(kernel);
371 }
372 
373 static KernelInfo *ParseKernelName(const char *kernel_string,
374  ExceptionInfo *exception)
375 {
376  char
377  token[MagickPathExtent];
378 
379  const char
380  *p,
381  *end;
382 
384  args;
385 
386  KernelInfo
387  *kernel;
388 
390  flags;
391 
392  ssize_t
393  type;
394 
395  /* Parse special 'named' kernel */
396  GetNextToken(kernel_string,&p,MagickPathExtent,token);
398  if ( type < 0 || type == UserDefinedKernel )
399  return((KernelInfo *) NULL); /* not a valid named kernel */
400 
401  while (((isspace((int) ((unsigned char) *p)) != 0) ||
402  (*p == ',') || (*p == ':' )) && (*p != '\0') && (*p != ';'))
403  p++;
404 
405  end = strchr(p, ';'); /* end of this kernel defintion */
406  if ( end == (char *) NULL )
407  end = strchr(p, '\0');
408 
409  /* ParseGeometry() needs the geometry separated! -- Arrgghh */
410  memcpy(token, p, (size_t) (end-p));
411  token[end-p] = '\0';
412  SetGeometryInfo(&args);
413  flags = ParseGeometry(token, &args);
414 
415 #if 0
416  /* For Debugging Geometry Input */
417  (void) FormatLocaleFile(stderr, "Geometry = 0x%04X : %lg x %lg %+lg %+lg\n",
418  flags, args.rho, args.sigma, args.xi, args.psi );
419 #endif
420 
421  /* special handling of missing values in input string */
422  switch( type ) {
423  /* Shape Kernel Defaults */
424  case UnityKernel:
425  if ( (flags & WidthValue) == 0 )
426  args.rho = 1.0; /* Default scale = 1.0, zero is valid */
427  break;
428  case SquareKernel:
429  case DiamondKernel:
430  case OctagonKernel:
431  case DiskKernel:
432  case PlusKernel:
433  case CrossKernel:
434  if ( (flags & HeightValue) == 0 )
435  args.sigma = 1.0; /* Default scale = 1.0, zero is valid */
436  break;
437  case RingKernel:
438  if ( (flags & XValue) == 0 )
439  args.xi = 1.0; /* Default scale = 1.0, zero is valid */
440  break;
441  case RectangleKernel: /* Rectangle - set size defaults */
442  if ( (flags & WidthValue) == 0 ) /* if no width then */
443  args.rho = args.sigma; /* then width = height */
444  if ( args.rho < 1.0 ) /* if width too small */
445  args.rho = 3; /* then width = 3 */
446  if ( args.sigma < 1.0 ) /* if height too small */
447  args.sigma = args.rho; /* then height = width */
448  if ( (flags & XValue) == 0 ) /* center offset if not defined */
449  args.xi = (double)(((ssize_t)args.rho-1)/2);
450  if ( (flags & YValue) == 0 )
451  args.psi = (double)(((ssize_t)args.sigma-1)/2);
452  break;
453  /* Distance Kernel Defaults */
454  case ChebyshevKernel:
455  case ManhattanKernel:
456  case OctagonalKernel:
457  case EuclideanKernel:
458  if ( (flags & HeightValue) == 0 ) /* no distance scale */
459  args.sigma = 100.0; /* default distance scaling */
460  else if ( (flags & AspectValue ) != 0 ) /* '!' flag */
461  args.sigma = QuantumRange/(args.sigma+1); /* maximum pixel distance */
462  else if ( (flags & PercentValue ) != 0 ) /* '%' flag */
463  args.sigma *= QuantumRange/100.0; /* percentage of color range */
464  break;
465  default:
466  break;
467  }
468 
469  kernel = AcquireKernelBuiltIn((KernelInfoType)type, &args, exception);
470  if ( kernel == (KernelInfo *) NULL )
471  return(kernel);
472 
473  /* global expand to rotated kernel list - only for single kernels */
474  if ( kernel->next == (KernelInfo *) NULL ) {
475  if ( (flags & AreaValue) != 0 ) /* '@' symbol in kernel args */
476  ExpandRotateKernelInfo(kernel, 45.0);
477  else if ( (flags & GreaterValue) != 0 ) /* '>' symbol in kernel args */
478  ExpandRotateKernelInfo(kernel, 90.0);
479  else if ( (flags & LessValue) != 0 ) /* '<' symbol in kernel args */
480  ExpandMirrorKernelInfo(kernel);
481  }
482 
483  return(kernel);
484 }
485 
486 MagickExport KernelInfo *AcquireKernelInfo(const char *kernel_string,
487  ExceptionInfo *exception)
488 {
489  KernelInfo
490  *kernel,
491  *new_kernel;
492 
493  char
494  *kernel_cache,
495  token[MagickPathExtent];
496 
497  const char
498  *p;
499 
500  if (kernel_string == (const char *) NULL)
501  return(ParseKernelArray(kernel_string));
502  p=kernel_string;
503  kernel_cache=(char *) NULL;
504  if (*kernel_string == '@')
505  {
506  kernel_cache=FileToString(kernel_string+1,~0UL,exception);
507  if (kernel_cache == (char *) NULL)
508  return((KernelInfo *) NULL);
509  p=(const char *) kernel_cache;
510  }
511  kernel=NULL;
512  while (GetNextToken(p,(const char **) NULL,MagickPathExtent,token), *token != '\0')
513  {
514  /* ignore extra or multiple ';' kernel separators */
515  if (*token != ';')
516  {
517  /* tokens starting with alpha is a Named kernel */
518  if (isalpha((int) ((unsigned char) *token)) != 0)
519  new_kernel=ParseKernelName(p,exception);
520  else /* otherwise a user defined kernel array */
521  new_kernel=ParseKernelArray(p);
522 
523  /* Error handling -- this is not proper error handling! */
524  if (new_kernel == (KernelInfo *) NULL)
525  {
526  if (kernel != (KernelInfo *) NULL)
527  kernel=DestroyKernelInfo(kernel);
528  return((KernelInfo *) NULL);
529  }
530 
531  /* initialise or append the kernel list */
532  if (kernel == (KernelInfo *) NULL)
533  kernel=new_kernel;
534  else
535  LastKernelInfo(kernel)->next=new_kernel;
536  }
537 
538  /* look for the next kernel in list */
539  p=strchr(p,';');
540  if (p == (char *) NULL)
541  break;
542  p++;
543  }
544  if (kernel_cache != (char *) NULL)
545  kernel_cache=DestroyString(kernel_cache);
546  return(kernel);
547 }
548 
549 /*
550 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
551 % %
552 % %
553 % %
554 % A c q u i r e K e r n e l B u i l t I n %
555 % %
556 % %
557 % %
558 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
559 %
560 % AcquireKernelBuiltIn() returned one of the 'named' built-in types of
561 % kernels used for special purposes such as gaussian blurring, skeleton
562 % pruning, and edge distance determination.
563 %
564 % They take a KernelType, and a set of geometry style arguments, which were
565 % typically decoded from a user supplied string, or from a more complex
566 % Morphology Method that was requested.
567 %
568 % The format of the AcquireKernalBuiltIn method is:
569 %
570 % KernelInfo *AcquireKernelBuiltIn(const KernelInfoType type,
571 % const GeometryInfo args)
572 %
573 % A description of each parameter follows:
574 %
575 % o type: the pre-defined type of kernel wanted
576 %
577 % o args: arguments defining or modifying the kernel
578 %
579 % Convolution Kernels
580 %
581 % Unity
582 % The a No-Op or Scaling single element kernel.
583 %
584 % Gaussian:{radius},{sigma}
585 % Generate a two-dimensional gaussian kernel, as used by -gaussian.
586 % The sigma for the curve is required. The resulting kernel is
587 % normalized,
588 %
589 % If 'sigma' is zero, you get a single pixel on a field of zeros.
590 %
591 % NOTE: that the 'radius' is optional, but if provided can limit (clip)
592 % the final size of the resulting kernel to a square 2*radius+1 in size.
593 % The radius should be at least 2 times that of the sigma value, or
594 % sever clipping and aliasing may result. If not given or set to 0 the
595 % radius will be determined so as to produce the best minimal error
596 % result, which is usally much larger than is normally needed.
597 %
598 % LoG:{radius},{sigma}
599 % "Laplacian of a Gaussian" or "Mexician Hat" Kernel.
600 % The supposed ideal edge detection, zero-summing kernel.
601 %
602 % An alturnative to this kernel is to use a "DoG" with a sigma ratio of
603 % approx 1.6 (according to wikipedia).
604 %
605 % DoG:{radius},{sigma1},{sigma2}
606 % "Difference of Gaussians" Kernel.
607 % As "Gaussian" but with a gaussian produced by 'sigma2' subtracted
608 % from the gaussian produced by 'sigma1'. Typically sigma2 > sigma1.
609 % The result is a zero-summing kernel.
610 %
611 % Blur:{radius},{sigma}[,{angle}]
612 % Generates a 1 dimensional or linear gaussian blur, at the angle given
613 % (current restricted to orthogonal angles). If a 'radius' is given the
614 % kernel is clipped to a width of 2*radius+1. Kernel can be rotated
615 % by a 90 degree angle.
616 %
617 % If 'sigma' is zero, you get a single pixel on a field of zeros.
618 %
619 % Note that two convolutions with two "Blur" kernels perpendicular to
620 % each other, is equivalent to a far larger "Gaussian" kernel with the
621 % same sigma value, However it is much faster to apply. This is how the
622 % "-blur" operator actually works.
623 %
624 % Comet:{width},{sigma},{angle}
625 % Blur in one direction only, much like how a bright object leaves
626 % a comet like trail. The Kernel is actually half a gaussian curve,
627 % Adding two such blurs in opposite directions produces a Blur Kernel.
628 % Angle can be rotated in multiples of 90 degrees.
629 %
630 % Note that the first argument is the width of the kernel and not the
631 % radius of the kernel.
632 %
633 % Binomial:[{radius}]
634 % Generate a discrete kernel using a 2 dimentional Pascel's Triangle
635 % of values. Used for special forma of image filters.
636 %
637 % # Still to be implemented...
638 % #
639 % # Filter2D
640 % # Filter1D
641 % # Set kernel values using a resize filter, and given scale (sigma)
642 % # Cylindrical or Linear. Is this possible with an image?
643 % #
644 %
645 % Named Constant Convolution Kernels
646 %
647 % All these are unscaled, zero-summing kernels by default. As such for
648 % non-HDRI version of ImageMagick some form of normalization, user scaling,
649 % and biasing the results is recommended, to prevent the resulting image
650 % being 'clipped'.
651 %
652 % The 3x3 kernels (most of these) can be circularly rotated in multiples of
653 % 45 degrees to generate the 8 angled varients of each of the kernels.
654 %
655 % Laplacian:{type}
656 % Discrete Lapacian Kernels, (without normalization)
657 % Type 0 : 3x3 with center:8 surounded by -1 (8 neighbourhood)
658 % Type 1 : 3x3 with center:4 edge:-1 corner:0 (4 neighbourhood)
659 % Type 2 : 3x3 with center:4 edge:1 corner:-2
660 % Type 3 : 3x3 with center:4 edge:-2 corner:1
661 % Type 5 : 5x5 laplacian
662 % Type 7 : 7x7 laplacian
663 % Type 15 : 5x5 LoG (sigma approx 1.4)
664 % Type 19 : 9x9 LoG (sigma approx 1.4)
665 %
666 % Sobel:{angle}
667 % Sobel 'Edge' convolution kernel (3x3)
668 % | -1, 0, 1 |
669 % | -2, 0,-2 |
670 % | -1, 0, 1 |
671 %
672 % Roberts:{angle}
673 % Roberts convolution kernel (3x3)
674 % | 0, 0, 0 |
675 % | -1, 1, 0 |
676 % | 0, 0, 0 |
677 %
678 % Prewitt:{angle}
679 % Prewitt Edge convolution kernel (3x3)
680 % | -1, 0, 1 |
681 % | -1, 0, 1 |
682 % | -1, 0, 1 |
683 %
684 % Compass:{angle}
685 % Prewitt's "Compass" convolution kernel (3x3)
686 % | -1, 1, 1 |
687 % | -1,-2, 1 |
688 % | -1, 1, 1 |
689 %
690 % Kirsch:{angle}
691 % Kirsch's "Compass" convolution kernel (3x3)
692 % | -3,-3, 5 |
693 % | -3, 0, 5 |
694 % | -3,-3, 5 |
695 %
696 % FreiChen:{angle}
697 % Frei-Chen Edge Detector is based on a kernel that is similar to
698 % the Sobel Kernel, but is designed to be isotropic. That is it takes
699 % into account the distance of the diagonal in the kernel.
700 %
701 % | 1, 0, -1 |
702 % | sqrt(2), 0, -sqrt(2) |
703 % | 1, 0, -1 |
704 %
705 % FreiChen:{type},{angle}
706 %
707 % Frei-Chen Pre-weighted kernels...
708 %
709 % Type 0: default un-nomalized version shown above.
710 %
711 % Type 1: Orthogonal Kernel (same as type 11 below)
712 % | 1, 0, -1 |
713 % | sqrt(2), 0, -sqrt(2) | / 2*sqrt(2)
714 % | 1, 0, -1 |
715 %
716 % Type 2: Diagonal form of Kernel...
717 % | 1, sqrt(2), 0 |
718 % | sqrt(2), 0, -sqrt(2) | / 2*sqrt(2)
719 % | 0, -sqrt(2) -1 |
720 %
721 % However this kernel is als at the heart of the FreiChen Edge Detection
722 % Process which uses a set of 9 specially weighted kernel. These 9
723 % kernels not be normalized, but directly applied to the image. The
724 % results is then added together, to produce the intensity of an edge in
725 % a specific direction. The square root of the pixel value can then be
726 % taken as the cosine of the edge, and at least 2 such runs at 90 degrees
727 % from each other, both the direction and the strength of the edge can be
728 % determined.
729 %
730 % Type 10: All 9 of the following pre-weighted kernels...
731 %
732 % Type 11: | 1, 0, -1 |
733 % | sqrt(2), 0, -sqrt(2) | / 2*sqrt(2)
734 % | 1, 0, -1 |
735 %
736 % Type 12: | 1, sqrt(2), 1 |
737 % | 0, 0, 0 | / 2*sqrt(2)
738 % | 1, sqrt(2), 1 |
739 %
740 % Type 13: | sqrt(2), -1, 0 |
741 % | -1, 0, 1 | / 2*sqrt(2)
742 % | 0, 1, -sqrt(2) |
743 %
744 % Type 14: | 0, 1, -sqrt(2) |
745 % | -1, 0, 1 | / 2*sqrt(2)
746 % | sqrt(2), -1, 0 |
747 %
748 % Type 15: | 0, -1, 0 |
749 % | 1, 0, 1 | / 2
750 % | 0, -1, 0 |
751 %
752 % Type 16: | 1, 0, -1 |
753 % | 0, 0, 0 | / 2
754 % | -1, 0, 1 |
755 %
756 % Type 17: | 1, -2, 1 |
757 % | -2, 4, -2 | / 6
758 % | -1, -2, 1 |
759 %
760 % Type 18: | -2, 1, -2 |
761 % | 1, 4, 1 | / 6
762 % | -2, 1, -2 |
763 %
764 % Type 19: | 1, 1, 1 |
765 % | 1, 1, 1 | / 3
766 % | 1, 1, 1 |
767 %
768 % The first 4 are for edge detection, the next 4 are for line detection
769 % and the last is to add a average component to the results.
770 %
771 % Using a special type of '-1' will return all 9 pre-weighted kernels
772 % as a multi-kernel list, so that you can use them directly (without
773 % normalization) with the special "-set option:morphology:compose Plus"
774 % setting to apply the full FreiChen Edge Detection Technique.
775 %
776 % If 'type' is large it will be taken to be an actual rotation angle for
777 % the default FreiChen (type 0) kernel. As such FreiChen:45 will look
778 % like a Sobel:45 but with 'sqrt(2)' instead of '2' values.
779 %
780 % WARNING: The above was layed out as per
781 % http://www.math.tau.ac.il/~turkel/notes/edge_detectors.pdf
782 % But rotated 90 degrees so direction is from left rather than the top.
783 % I have yet to find any secondary confirmation of the above. The only
784 % other source found was actual source code at
785 % http://ltswww.epfl.ch/~courstiv/exos_labos/sol3.pdf
786 % Neigher paper defineds the kernels in a way that looks locical or
787 % correct when taken as a whole.
788 %
789 % Boolean Kernels
790 %
791 % Diamond:[{radius}[,{scale}]]
792 % Generate a diamond shaped kernel with given radius to the points.
793 % Kernel size will again be radius*2+1 square and defaults to radius 1,
794 % generating a 3x3 kernel that is slightly larger than a square.
795 %
796 % Square:[{radius}[,{scale}]]
797 % Generate a square shaped kernel of size radius*2+1, and defaulting
798 % to a 3x3 (radius 1).
799 %
800 % Octagon:[{radius}[,{scale}]]
801 % Generate octagonal shaped kernel of given radius and constant scale.
802 % Default radius is 3 producing a 7x7 kernel. A radius of 1 will result
803 % in "Diamond" kernel.
804 %
805 % Disk:[{radius}[,{scale}]]
806 % Generate a binary disk, thresholded at the radius given, the radius
807 % may be a float-point value. Final Kernel size is floor(radius)*2+1
808 % square. A radius of 5.3 is the default.
809 %
810 % NOTE: That a low radii Disk kernels produce the same results as
811 % many of the previously defined kernels, but differ greatly at larger
812 % radii. Here is a table of equivalences...
813 % "Disk:1" => "Diamond", "Octagon:1", or "Cross:1"
814 % "Disk:1.5" => "Square"
815 % "Disk:2" => "Diamond:2"
816 % "Disk:2.5" => "Octagon"
817 % "Disk:2.9" => "Square:2"
818 % "Disk:3.5" => "Octagon:3"
819 % "Disk:4.5" => "Octagon:4"
820 % "Disk:5.4" => "Octagon:5"
821 % "Disk:6.4" => "Octagon:6"
822 % All other Disk shapes are unique to this kernel, but because a "Disk"
823 % is more circular when using a larger radius, using a larger radius is
824 % preferred over iterating the morphological operation.
825 %
826 % Rectangle:{geometry}
827 % Simply generate a rectangle of 1's with the size given. You can also
828 % specify the location of the 'control point', otherwise the closest
829 % pixel to the center of the rectangle is selected.
830 %
831 % Properly centered and odd sized rectangles work the best.
832 %
833 % Symbol Dilation Kernels
834 %
835 % These kernel is not a good general morphological kernel, but is used
836 % more for highlighting and marking any single pixels in an image using,
837 % a "Dilate" method as appropriate.
838 %
839 % For the same reasons iterating these kernels does not produce the
840 % same result as using a larger radius for the symbol.
841 %
842 % Plus:[{radius}[,{scale}]]
843 % Cross:[{radius}[,{scale}]]
844 % Generate a kernel in the shape of a 'plus' or a 'cross' with
845 % a each arm the length of the given radius (default 2).
846 %
847 % NOTE: "plus:1" is equivalent to a "Diamond" kernel.
848 %
849 % Ring:{radius1},{radius2}[,{scale}]
850 % A ring of the values given that falls between the two radii.
851 % Defaults to a ring of approximataly 3 radius in a 7x7 kernel.
852 % This is the 'edge' pixels of the default "Disk" kernel,
853 % More specifically, "Ring" -> "Ring:2.5,3.5,1.0"
854 %
855 % Hit and Miss Kernels
856 %
857 % Peak:radius1,radius2
858 % Find any peak larger than the pixels the fall between the two radii.
859 % The default ring of pixels is as per "Ring".
860 % Edges
861 % Find flat orthogonal edges of a binary shape
862 % Corners
863 % Find 90 degree corners of a binary shape
864 % Diagonals:type
865 % A special kernel to thin the 'outside' of diagonals
866 % LineEnds:type
867 % Find end points of lines (for pruning a skeletion)
868 % Two types of lines ends (default to both) can be searched for
869 % Type 0: All line ends
870 % Type 1: single kernel for 4-conneected line ends
871 % Type 2: single kernel for simple line ends
872 % LineJunctions
873 % Find three line junctions (within a skeletion)
874 % Type 0: all line junctions
875 % Type 1: Y Junction kernel
876 % Type 2: Diagonal T Junction kernel
877 % Type 3: Orthogonal T Junction kernel
878 % Type 4: Diagonal X Junction kernel
879 % Type 5: Orthogonal + Junction kernel
880 % Ridges:type
881 % Find single pixel ridges or thin lines
882 % Type 1: Fine single pixel thick lines and ridges
883 % Type 2: Find two pixel thick lines and ridges
884 % ConvexHull
885 % Octagonal Thickening Kernel, to generate convex hulls of 45 degrees
886 % Skeleton:type
887 % Traditional skeleton generating kernels.
888 % Type 1: Tradional Skeleton kernel (4 connected skeleton)
889 % Type 2: HIPR2 Skeleton kernel (8 connected skeleton)
890 % Type 3: Thinning skeleton based on a ressearch paper by
891 % Dan S. Bloomberg (Default Type)
892 % ThinSE:type
893 % A huge variety of Thinning Kernels designed to preserve conectivity.
894 % many other kernel sets use these kernels as source definitions.
895 % Type numbers are 41-49, 81-89, 481, and 482 which are based on
896 % the super and sub notations used in the source research paper.
897 %
898 % Distance Measuring Kernels
899 %
900 % Different types of distance measuring methods, which are used with the
901 % a 'Distance' morphology method for generating a gradient based on
902 % distance from an edge of a binary shape, though there is a technique
903 % for handling a anti-aliased shape.
904 %
905 % See the 'Distance' Morphological Method, for information of how it is
906 % applied.
907 %
908 % Chebyshev:[{radius}][x{scale}[%!]]
909 % Chebyshev Distance (also known as Tchebychev or Chessboard distance)
910 % is a value of one to any neighbour, orthogonal or diagonal. One why
911 % of thinking of it is the number of squares a 'King' or 'Queen' in
912 % chess needs to traverse reach any other position on a chess board.
913 % It results in a 'square' like distance function, but one where
914 % diagonals are given a value that is closer than expected.
915 %
916 % Manhattan:[{radius}][x{scale}[%!]]
917 % Manhattan Distance (also known as Rectilinear, City Block, or the Taxi
918 % Cab distance metric), it is the distance needed when you can only
919 % travel in horizontal or vertical directions only. It is the
920 % distance a 'Rook' in chess would have to travel, and results in a
921 % diamond like distances, where diagonals are further than expected.
922 %
923 % Octagonal:[{radius}][x{scale}[%!]]
924 % An interleving of Manhatten and Chebyshev metrics producing an
925 % increasing octagonally shaped distance. Distances matches those of
926 % the "Octagon" shaped kernel of the same radius. The minimum radius
927 % and default is 2, producing a 5x5 kernel.
928 %
929 % Euclidean:[{radius}][x{scale}[%!]]
930 % Euclidean distance is the 'direct' or 'as the crow flys' distance.
931 % However by default the kernel size only has a radius of 1, which
932 % limits the distance to 'Knight' like moves, with only orthogonal and
933 % diagonal measurements being correct. As such for the default kernel
934 % you will get octagonal like distance function.
935 %
936 % However using a larger radius such as "Euclidean:4" you will get a
937 % much smoother distance gradient from the edge of the shape. Especially
938 % if the image is pre-processed to include any anti-aliasing pixels.
939 % Of course a larger kernel is slower to use, and not always needed.
940 %
941 % The first three Distance Measuring Kernels will only generate distances
942 % of exact multiples of {scale} in binary images. As such you can use a
943 % scale of 1 without loosing any information. However you also need some
944 % scaling when handling non-binary anti-aliased shapes.
945 %
946 % The "Euclidean" Distance Kernel however does generate a non-integer
947 % fractional results, and as such scaling is vital even for binary shapes.
948 %
949 */
950 
952  const GeometryInfo *args,ExceptionInfo *exception)
953 {
954  KernelInfo
955  *kernel;
956 
957  register ssize_t
958  i;
959 
960  register ssize_t
961  u,
962  v;
963 
964  double
965  nan = sqrt((double)-1.0); /* Special Value : Not A Number */
966 
967  /* Generate a new empty kernel if needed */
968  kernel=(KernelInfo *) NULL;
969  switch(type) {
970  case UndefinedKernel: /* These should not call this function */
971  case UserDefinedKernel:
972  assert("Should not call this function" != (char *) NULL);
973  break;
974  case LaplacianKernel: /* Named Descrete Convolution Kernels */
975  case SobelKernel: /* these are defined using other kernels */
976  case RobertsKernel:
977  case PrewittKernel:
978  case CompassKernel:
979  case KirschKernel:
980  case FreiChenKernel:
981  case EdgesKernel: /* Hit and Miss kernels */
982  case CornersKernel:
983  case DiagonalsKernel:
984  case LineEndsKernel:
985  case LineJunctionsKernel:
986  case RidgesKernel:
987  case ConvexHullKernel:
988  case SkeletonKernel:
989  case ThinSEKernel:
990  break; /* A pre-generated kernel is not needed */
991 #if 0
992  /* set to 1 to do a compile-time check that we haven't missed anything */
993  case UnityKernel:
994  case GaussianKernel:
995  case DoGKernel:
996  case LoGKernel:
997  case BlurKernel:
998  case CometKernel:
999  case BinomialKernel:
1000  case DiamondKernel:
1001  case SquareKernel:
1002  case RectangleKernel:
1003  case OctagonKernel:
1004  case DiskKernel:
1005  case PlusKernel:
1006  case CrossKernel:
1007  case RingKernel:
1008  case PeaksKernel:
1009  case ChebyshevKernel:
1010  case ManhattanKernel:
1011  case OctangonalKernel:
1012  case EuclideanKernel:
1013 #else
1014  default:
1015 #endif
1016  /* Generate the base Kernel Structure */
1017  kernel=(KernelInfo *) AcquireMagickMemory(sizeof(*kernel));
1018  if (kernel == (KernelInfo *) NULL)
1019  return(kernel);
1020  (void) memset(kernel,0,sizeof(*kernel));
1021  kernel->minimum = kernel->maximum = kernel->angle = 0.0;
1022  kernel->negative_range = kernel->positive_range = 0.0;
1023  kernel->type = type;
1024  kernel->next = (KernelInfo *) NULL;
1026  break;
1027  }
1028 
1029  switch(type) {
1030  /*
1031  Convolution Kernels
1032  */
1033  case UnityKernel:
1034  {
1035  kernel->height = kernel->width = (size_t) 1;
1036  kernel->x = kernel->y = (ssize_t) 0;
1038  AcquireAlignedMemory(1,sizeof(*kernel->values)));
1039  if (kernel->values == (MagickRealType *) NULL)
1040  return(DestroyKernelInfo(kernel));
1041  kernel->maximum = kernel->values[0] = args->rho;
1042  break;
1043  }
1044  break;
1045  case GaussianKernel:
1046  case DoGKernel:
1047  case LoGKernel:
1048  { double
1049  sigma = fabs(args->sigma),
1050  sigma2 = fabs(args->xi),
1051  A, B, R;
1052 
1053  if ( args->rho >= 1.0 )
1054  kernel->width = (size_t)args->rho*2+1;
1055  else if ( (type != DoGKernel) || (sigma >= sigma2) )
1056  kernel->width = GetOptimalKernelWidth2D(args->rho,sigma);
1057  else
1058  kernel->width = GetOptimalKernelWidth2D(args->rho,sigma2);
1059  kernel->height = kernel->width;
1060  kernel->x = kernel->y = (ssize_t) (kernel->width-1)/2;
1062  AcquireAlignedMemory(kernel->width,kernel->height*
1063  sizeof(*kernel->values)));
1064  if (kernel->values == (MagickRealType *) NULL)
1065  return(DestroyKernelInfo(kernel));
1066 
1067  /* WARNING: The following generates a 'sampled gaussian' kernel.
1068  * What we really want is a 'discrete gaussian' kernel.
1069  *
1070  * How to do this is I don't know, but appears to be basied on the
1071  * Error Function 'erf()' (intergral of a gaussian)
1072  */
1073 
1074  if ( type == GaussianKernel || type == DoGKernel )
1075  { /* Calculate a Gaussian, OR positive half of a DoG */
1076  if ( sigma > MagickEpsilon )
1077  { A = 1.0/(2.0*sigma*sigma); /* simplify loop expressions */
1078  B = (double) (1.0/(Magick2PI*sigma*sigma));
1079  for ( i=0, v=-kernel->y; v <= (ssize_t)kernel->y; v++)
1080  for ( u=-kernel->x; u <= (ssize_t)kernel->x; u++, i++)
1081  kernel->values[i] = exp(-((double)(u*u+v*v))*A)*B;
1082  }
1083  else /* limiting case - a unity (normalized Dirac) kernel */
1084  { (void) memset(kernel->values,0, (size_t)
1085  kernel->width*kernel->height*sizeof(*kernel->values));
1086  kernel->values[kernel->x+kernel->y*kernel->width] = 1.0;
1087  }
1088  }
1089 
1090  if ( type == DoGKernel )
1091  { /* Subtract a Negative Gaussian for "Difference of Gaussian" */
1092  if ( sigma2 > MagickEpsilon )
1093  { sigma = sigma2; /* simplify loop expressions */
1094  A = 1.0/(2.0*sigma*sigma);
1095  B = (double) (1.0/(Magick2PI*sigma*sigma));
1096  for ( i=0, v=-kernel->y; v <= (ssize_t)kernel->y; v++)
1097  for ( u=-kernel->x; u <= (ssize_t)kernel->x; u++, i++)
1098  kernel->values[i] -= exp(-((double)(u*u+v*v))*A)*B;
1099  }
1100  else /* limiting case - a unity (normalized Dirac) kernel */
1101  kernel->values[kernel->x+kernel->y*kernel->width] -= 1.0;
1102  }
1103 
1104  if ( type == LoGKernel )
1105  { /* Calculate a Laplacian of a Gaussian - Or Mexician Hat */
1106  if ( sigma > MagickEpsilon )
1107  { A = 1.0/(2.0*sigma*sigma); /* simplify loop expressions */
1108  B = (double) (1.0/(MagickPI*sigma*sigma*sigma*sigma));
1109  for ( i=0, v=-kernel->y; v <= (ssize_t)kernel->y; v++)
1110  for ( u=-kernel->x; u <= (ssize_t)kernel->x; u++, i++)
1111  { R = ((double)(u*u+v*v))*A;
1112  kernel->values[i] = (1-R)*exp(-R)*B;
1113  }
1114  }
1115  else /* special case - generate a unity kernel */
1116  { (void) memset(kernel->values,0, (size_t)
1117  kernel->width*kernel->height*sizeof(*kernel->values));
1118  kernel->values[kernel->x+kernel->y*kernel->width] = 1.0;
1119  }
1120  }
1121 
1122  /* Note the above kernels may have been 'clipped' by a user defined
1123  ** radius, producing a smaller (darker) kernel. Also for very small
1124  ** sigma's (> 0.1) the central value becomes larger than one, and thus
1125  ** producing a very bright kernel.
1126  **
1127  ** Normalization will still be needed.
1128  */
1129 
1130  /* Normalize the 2D Gaussian Kernel
1131  **
1132  ** NB: a CorrelateNormalize performs a normal Normalize if
1133  ** there are no negative values.
1134  */
1135  CalcKernelMetaData(kernel); /* the other kernel meta-data */
1137 
1138  break;
1139  }
1140  case BlurKernel:
1141  { double
1142  sigma = fabs(args->sigma),
1143  alpha, beta;
1144 
1145  if ( args->rho >= 1.0 )
1146  kernel->width = (size_t)args->rho*2+1;
1147  else
1148  kernel->width = GetOptimalKernelWidth1D(args->rho,sigma);
1149  kernel->height = 1;
1150  kernel->x = (ssize_t) (kernel->width-1)/2;
1151  kernel->y = 0;
1152  kernel->negative_range = kernel->positive_range = 0.0;
1154  AcquireAlignedMemory(kernel->width,kernel->height*
1155  sizeof(*kernel->values)));
1156  if (kernel->values == (MagickRealType *) NULL)
1157  return(DestroyKernelInfo(kernel));
1158 
1159 #if 1
1160 #define KernelRank 3
1161  /* Formula derived from GetBlurKernel() in "effect.c" (plus bug fix).
1162  ** It generates a gaussian 3 times the width, and compresses it into
1163  ** the expected range. This produces a closer normalization of the
1164  ** resulting kernel, especially for very low sigma values.
1165  ** As such while wierd it is prefered.
1166  **
1167  ** I am told this method originally came from Photoshop.
1168  **
1169  ** A properly normalized curve is generated (apart from edge clipping)
1170  ** even though we later normalize the result (for edge clipping)
1171  ** to allow the correct generation of a "Difference of Blurs".
1172  */
1173 
1174  /* initialize */
1175  v = (ssize_t) (kernel->width*KernelRank-1)/2; /* start/end points to fit range */
1176  (void) memset(kernel->values,0, (size_t)
1177  kernel->width*kernel->height*sizeof(*kernel->values));
1178  /* Calculate a Positive 1D Gaussian */
1179  if ( sigma > MagickEpsilon )
1180  { sigma *= KernelRank; /* simplify loop expressions */
1181  alpha = 1.0/(2.0*sigma*sigma);
1182  beta= (double) (1.0/(MagickSQ2PI*sigma ));
1183  for ( u=-v; u <= v; u++) {
1184  kernel->values[(u+v)/KernelRank] +=
1185  exp(-((double)(u*u))*alpha)*beta;
1186  }
1187  }
1188  else /* special case - generate a unity kernel */
1189  kernel->values[kernel->x+kernel->y*kernel->width] = 1.0;
1190 #else
1191  /* Direct calculation without curve averaging
1192  This is equivelent to a KernelRank of 1 */
1193 
1194  /* Calculate a Positive Gaussian */
1195  if ( sigma > MagickEpsilon )
1196  { alpha = 1.0/(2.0*sigma*sigma); /* simplify loop expressions */
1197  beta = 1.0/(MagickSQ2PI*sigma);
1198  for ( i=0, u=-kernel->x; u <= (ssize_t)kernel->x; u++, i++)
1199  kernel->values[i] = exp(-((double)(u*u))*alpha)*beta;
1200  }
1201  else /* special case - generate a unity kernel */
1202  { (void) memset(kernel->values,0, (size_t)
1203  kernel->width*kernel->height*sizeof(*kernel->values));
1204  kernel->values[kernel->x+kernel->y*kernel->width] = 1.0;
1205  }
1206 #endif
1207  /* Note the above kernel may have been 'clipped' by a user defined
1208  ** radius, producing a smaller (darker) kernel. Also for very small
1209  ** sigma's (> 0.1) the central value becomes larger than one, as a
1210  ** result of not generating a actual 'discrete' kernel, and thus
1211  ** producing a very bright 'impulse'.
1212  **
1213  ** Becuase of these two factors Normalization is required!
1214  */
1215 
1216  /* Normalize the 1D Gaussian Kernel
1217  **
1218  ** NB: a CorrelateNormalize performs a normal Normalize if
1219  ** there are no negative values.
1220  */
1221  CalcKernelMetaData(kernel); /* the other kernel meta-data */
1223 
1224  /* rotate the 1D kernel by given angle */
1225  RotateKernelInfo(kernel, args->xi );
1226  break;
1227  }
1228  case CometKernel:
1229  { double
1230  sigma = fabs(args->sigma),
1231  A;
1232 
1233  if ( args->rho < 1.0 )
1234  kernel->width = (GetOptimalKernelWidth1D(args->rho,sigma)-1)/2+1;
1235  else
1236  kernel->width = (size_t)args->rho;
1237  kernel->x = kernel->y = 0;
1238  kernel->height = 1;
1239  kernel->negative_range = kernel->positive_range = 0.0;
1241  AcquireAlignedMemory(kernel->width,kernel->height*
1242  sizeof(*kernel->values)));
1243  if (kernel->values == (MagickRealType *) NULL)
1244  return(DestroyKernelInfo(kernel));
1245 
1246  /* A comet blur is half a 1D gaussian curve, so that the object is
1247  ** blurred in one direction only. This may not be quite the right
1248  ** curve to use so may change in the future. The function must be
1249  ** normalised after generation, which also resolves any clipping.
1250  **
1251  ** As we are normalizing and not subtracting gaussians,
1252  ** there is no need for a divisor in the gaussian formula
1253  **
1254  ** It is less comples
1255  */
1256  if ( sigma > MagickEpsilon )
1257  {
1258 #if 1
1259 #define KernelRank 3
1260  v = (ssize_t) kernel->width*KernelRank; /* start/end points */
1261  (void) memset(kernel->values,0, (size_t)
1262  kernel->width*sizeof(*kernel->values));
1263  sigma *= KernelRank; /* simplify the loop expression */
1264  A = 1.0/(2.0*sigma*sigma);
1265  /* B = 1.0/(MagickSQ2PI*sigma); */
1266  for ( u=0; u < v; u++) {
1267  kernel->values[u/KernelRank] +=
1268  exp(-((double)(u*u))*A);
1269  /* exp(-((double)(i*i))/2.0*sigma*sigma)/(MagickSQ2PI*sigma); */
1270  }
1271  for (i=0; i < (ssize_t) kernel->width; i++)
1272  kernel->positive_range += kernel->values[i];
1273 #else
1274  A = 1.0/(2.0*sigma*sigma); /* simplify the loop expression */
1275  /* B = 1.0/(MagickSQ2PI*sigma); */
1276  for ( i=0; i < (ssize_t) kernel->width; i++)
1277  kernel->positive_range +=
1278  kernel->values[i] = exp(-((double)(i*i))*A);
1279  /* exp(-((double)(i*i))/2.0*sigma*sigma)/(MagickSQ2PI*sigma); */
1280 #endif
1281  }
1282  else /* special case - generate a unity kernel */
1283  { (void) memset(kernel->values,0, (size_t)
1284  kernel->width*kernel->height*sizeof(*kernel->values));
1285  kernel->values[kernel->x+kernel->y*kernel->width] = 1.0;
1286  kernel->positive_range = 1.0;
1287  }
1288 
1289  kernel->minimum = 0.0;
1290  kernel->maximum = kernel->values[0];
1291  kernel->negative_range = 0.0;
1292 
1293  ScaleKernelInfo(kernel, 1.0, NormalizeValue); /* Normalize */
1294  RotateKernelInfo(kernel, args->xi); /* Rotate by angle */
1295  break;
1296  }
1297  case BinomialKernel:
1298  {
1299  size_t
1300  order_f;
1301 
1302  if (args->rho < 1.0)
1303  kernel->width = kernel->height = 3; /* default radius = 1 */
1304  else
1305  kernel->width = kernel->height = ((size_t)args->rho)*2+1;
1306  kernel->x = kernel->y = (ssize_t) (kernel->width-1)/2;
1307 
1308  order_f = fact(kernel->width-1);
1309 
1311  AcquireAlignedMemory(kernel->width,kernel->height*
1312  sizeof(*kernel->values)));
1313  if (kernel->values == (MagickRealType *) NULL)
1314  return(DestroyKernelInfo(kernel));
1315 
1316  /* set all kernel values within diamond area to scale given */
1317  for ( i=0, v=0; v < (ssize_t)kernel->height; v++)
1318  { size_t
1319  alpha = order_f / ( fact((size_t) v) * fact(kernel->height-v-1) );
1320  for ( u=0; u < (ssize_t)kernel->width; u++, i++)
1321  kernel->positive_range += kernel->values[i] = (double)
1322  (alpha * order_f / ( fact((size_t) u) * fact(kernel->height-u-1) ));
1323  }
1324  kernel->minimum = 1.0;
1325  kernel->maximum = kernel->values[kernel->x+kernel->y*kernel->width];
1326  kernel->negative_range = 0.0;
1327  break;
1328  }
1329 
1330  /*
1331  Convolution Kernels - Well Known Named Constant Kernels
1332  */
1333  case LaplacianKernel:
1334  { switch ( (int) args->rho ) {
1335  case 0:
1336  default: /* laplacian square filter -- default */
1337  kernel=ParseKernelArray("3: -1,-1,-1 -1,8,-1 -1,-1,-1");
1338  break;
1339  case 1: /* laplacian diamond filter */
1340  kernel=ParseKernelArray("3: 0,-1,0 -1,4,-1 0,-1,0");
1341  break;
1342  case 2:
1343  kernel=ParseKernelArray("3: -2,1,-2 1,4,1 -2,1,-2");
1344  break;
1345  case 3:
1346  kernel=ParseKernelArray("3: 1,-2,1 -2,4,-2 1,-2,1");
1347  break;
1348  case 5: /* a 5x5 laplacian */
1349  kernel=ParseKernelArray(
1350  "5: -4,-1,0,-1,-4 -1,2,3,2,-1 0,3,4,3,0 -1,2,3,2,-1 -4,-1,0,-1,-4");
1351  break;
1352  case 7: /* a 7x7 laplacian */
1353  kernel=ParseKernelArray(
1354  "7:-10,-5,-2,-1,-2,-5,-10 -5,0,3,4,3,0,-5 -2,3,6,7,6,3,-2 -1,4,7,8,7,4,-1 -2,3,6,7,6,3,-2 -5,0,3,4,3,0,-5 -10,-5,-2,-1,-2,-5,-10" );
1355  break;
1356  case 15: /* a 5x5 LoG (sigma approx 1.4) */
1357  kernel=ParseKernelArray(
1358  "5: 0,0,-1,0,0 0,-1,-2,-1,0 -1,-2,16,-2,-1 0,-1,-2,-1,0 0,0,-1,0,0");
1359  break;
1360  case 19: /* a 9x9 LoG (sigma approx 1.4) */
1361  /* http://www.cscjournals.org/csc/manuscript/Journals/IJIP/volume3/Issue1/IJIP-15.pdf */
1362  kernel=ParseKernelArray(
1363  "9: 0,-1,-1,-2,-2,-2,-1,-1,0 -1,-2,-4,-5,-5,-5,-4,-2,-1 -1,-4,-5,-3,-0,-3,-5,-4,-1 -2,-5,-3,12,24,12,-3,-5,-2 -2,-5,-0,24,40,24,-0,-5,-2 -2,-5,-3,12,24,12,-3,-5,-2 -1,-4,-5,-3,-0,-3,-5,-4,-1 -1,-2,-4,-5,-5,-5,-4,-2,-1 0,-1,-1,-2,-2,-2,-1,-1,0");
1364  break;
1365  }
1366  if (kernel == (KernelInfo *) NULL)
1367  return(kernel);
1368  kernel->type = type;
1369  break;
1370  }
1371  case SobelKernel:
1372  { /* Simple Sobel Kernel */
1373  kernel=ParseKernelArray("3: 1,0,-1 2,0,-2 1,0,-1");
1374  if (kernel == (KernelInfo *) NULL)
1375  return(kernel);
1376  kernel->type = type;
1377  RotateKernelInfo(kernel, args->rho);
1378  break;
1379  }
1380  case RobertsKernel:
1381  {
1382  kernel=ParseKernelArray("3: 0,0,0 1,-1,0 0,0,0");
1383  if (kernel == (KernelInfo *) NULL)
1384  return(kernel);
1385  kernel->type = type;
1386  RotateKernelInfo(kernel, args->rho);
1387  break;
1388  }
1389  case PrewittKernel:
1390  {
1391  kernel=ParseKernelArray("3: 1,0,-1 1,0,-1 1,0,-1");
1392  if (kernel == (KernelInfo *) NULL)
1393  return(kernel);
1394  kernel->type = type;
1395  RotateKernelInfo(kernel, args->rho);
1396  break;
1397  }
1398  case CompassKernel:
1399  {
1400  kernel=ParseKernelArray("3: 1,1,-1 1,-2,-1 1,1,-1");
1401  if (kernel == (KernelInfo *) NULL)
1402  return(kernel);
1403  kernel->type = type;
1404  RotateKernelInfo(kernel, args->rho);
1405  break;
1406  }
1407  case KirschKernel:
1408  {
1409  kernel=ParseKernelArray("3: 5,-3,-3 5,0,-3 5,-3,-3");
1410  if (kernel == (KernelInfo *) NULL)
1411  return(kernel);
1412  kernel->type = type;
1413  RotateKernelInfo(kernel, args->rho);
1414  break;
1415  }
1416  case FreiChenKernel:
1417  /* Direction is set to be left to right positive */
1418  /* http://www.math.tau.ac.il/~turkel/notes/edge_detectors.pdf -- RIGHT? */
1419  /* http://ltswww.epfl.ch/~courstiv/exos_labos/sol3.pdf -- WRONG? */
1420  { switch ( (int) args->rho ) {
1421  default:
1422  case 0:
1423  kernel=ParseKernelArray("3: 1,0,-1 2,0,-2 1,0,-1");
1424  if (kernel == (KernelInfo *) NULL)
1425  return(kernel);
1426  kernel->type = type;
1427  kernel->values[3] = +(MagickRealType) MagickSQ2;
1428  kernel->values[5] = -(MagickRealType) MagickSQ2;
1429  CalcKernelMetaData(kernel); /* recalculate meta-data */
1430  break;
1431  case 2:
1432  kernel=ParseKernelArray("3: 1,2,0 2,0,-2 0,-2,-1");
1433  if (kernel == (KernelInfo *) NULL)
1434  return(kernel);
1435  kernel->type = type;
1436  kernel->values[1] = kernel->values[3]= +(MagickRealType) MagickSQ2;
1437  kernel->values[5] = kernel->values[7]= -(MagickRealType) MagickSQ2;
1438  CalcKernelMetaData(kernel); /* recalculate meta-data */
1439  ScaleKernelInfo(kernel, (double) (1.0/2.0*MagickSQ2), NoValue);
1440  break;
1441  case 10:
1442  {
1443  kernel=AcquireKernelInfo("FreiChen:11;FreiChen:12;FreiChen:13;FreiChen:14;FreiChen:15;FreiChen:16;FreiChen:17;FreiChen:18;FreiChen:19",exception);
1444  if (kernel == (KernelInfo *) NULL)
1445  return(kernel);
1446  break;
1447  }
1448  case 1:
1449  case 11:
1450  kernel=ParseKernelArray("3: 1,0,-1 2,0,-2 1,0,-1");
1451  if (kernel == (KernelInfo *) NULL)
1452  return(kernel);
1453  kernel->type = type;
1454  kernel->values[3] = +(MagickRealType) MagickSQ2;
1455  kernel->values[5] = -(MagickRealType) MagickSQ2;
1456  CalcKernelMetaData(kernel); /* recalculate meta-data */
1457  ScaleKernelInfo(kernel, (double) (1.0/2.0*MagickSQ2), NoValue);
1458  break;
1459  case 12:
1460  kernel=ParseKernelArray("3: 1,2,1 0,0,0 1,2,1");
1461  if (kernel == (KernelInfo *) NULL)
1462  return(kernel);
1463  kernel->type = type;
1464  kernel->values[1] = +(MagickRealType) MagickSQ2;
1465  kernel->values[7] = +(MagickRealType) MagickSQ2;
1466  CalcKernelMetaData(kernel);
1467  ScaleKernelInfo(kernel, (double) (1.0/2.0*MagickSQ2), NoValue);
1468  break;
1469  case 13:
1470  kernel=ParseKernelArray("3: 2,-1,0 -1,0,1 0,1,-2");
1471  if (kernel == (KernelInfo *) NULL)
1472  return(kernel);
1473  kernel->type = type;
1474  kernel->values[0] = +(MagickRealType) MagickSQ2;
1475  kernel->values[8] = -(MagickRealType) MagickSQ2;
1476  CalcKernelMetaData(kernel);
1477  ScaleKernelInfo(kernel, (double) (1.0/2.0*MagickSQ2), NoValue);
1478  break;
1479  case 14:
1480  kernel=ParseKernelArray("3: 0,1,-2 -1,0,1 2,-1,0");
1481  if (kernel == (KernelInfo *) NULL)
1482  return(kernel);
1483  kernel->type = type;
1484  kernel->values[2] = -(MagickRealType) MagickSQ2;
1485  kernel->values[6] = +(MagickRealType) MagickSQ2;
1486  CalcKernelMetaData(kernel);
1487  ScaleKernelInfo(kernel, (double) (1.0/2.0*MagickSQ2), NoValue);
1488  break;
1489  case 15:
1490  kernel=ParseKernelArray("3: 0,-1,0 1,0,1 0,-1,0");
1491  if (kernel == (KernelInfo *) NULL)
1492  return(kernel);
1493  kernel->type = type;
1494  ScaleKernelInfo(kernel, 1.0/2.0, NoValue);
1495  break;
1496  case 16:
1497  kernel=ParseKernelArray("3: 1,0,-1 0,0,0 -1,0,1");
1498  if (kernel == (KernelInfo *) NULL)
1499  return(kernel);
1500  kernel->type = type;
1501  ScaleKernelInfo(kernel, 1.0/2.0, NoValue);
1502  break;
1503  case 17:
1504  kernel=ParseKernelArray("3: 1,-2,1 -2,4,-2 -1,-2,1");
1505  if (kernel == (KernelInfo *) NULL)
1506  return(kernel);
1507  kernel->type = type;
1508  ScaleKernelInfo(kernel, 1.0/6.0, NoValue);
1509  break;
1510  case 18:
1511  kernel=ParseKernelArray("3: -2,1,-2 1,4,1 -2,1,-2");
1512  if (kernel == (KernelInfo *) NULL)
1513  return(kernel);
1514  kernel->type = type;
1515  ScaleKernelInfo(kernel, 1.0/6.0, NoValue);
1516  break;
1517  case 19:
1518  kernel=ParseKernelArray("3: 1,1,1 1,1,1 1,1,1");
1519  if (kernel == (KernelInfo *) NULL)
1520  return(kernel);
1521  kernel->type = type;
1522  ScaleKernelInfo(kernel, 1.0/3.0, NoValue);
1523  break;
1524  }
1525  if ( fabs(args->sigma) >= MagickEpsilon )
1526  /* Rotate by correctly supplied 'angle' */
1527  RotateKernelInfo(kernel, args->sigma);
1528  else if ( args->rho > 30.0 || args->rho < -30.0 )
1529  /* Rotate by out of bounds 'type' */
1530  RotateKernelInfo(kernel, args->rho);
1531  break;
1532  }
1533 
1534  /*
1535  Boolean or Shaped Kernels
1536  */
1537  case DiamondKernel:
1538  {
1539  if (args->rho < 1.0)
1540  kernel->width = kernel->height = 3; /* default radius = 1 */
1541  else
1542  kernel->width = kernel->height = ((size_t)args->rho)*2+1;
1543  kernel->x = kernel->y = (ssize_t) (kernel->width-1)/2;
1544 
1546  AcquireAlignedMemory(kernel->width,kernel->height*
1547  sizeof(*kernel->values)));
1548  if (kernel->values == (MagickRealType *) NULL)
1549  return(DestroyKernelInfo(kernel));
1550 
1551  /* set all kernel values within diamond area to scale given */
1552  for ( i=0, v=-kernel->y; v <= (ssize_t)kernel->y; v++)
1553  for ( u=-kernel->x; u <= (ssize_t)kernel->x; u++, i++)
1554  if ( (labs((long) u)+labs((long) v)) <= (long) kernel->x)
1555  kernel->positive_range += kernel->values[i] = args->sigma;
1556  else
1557  kernel->values[i] = nan;
1558  kernel->minimum = kernel->maximum = args->sigma; /* a flat shape */
1559  break;
1560  }
1561  case SquareKernel:
1562  case RectangleKernel:
1563  { double
1564  scale;
1565  if ( type == SquareKernel )
1566  {
1567  if (args->rho < 1.0)
1568  kernel->width = kernel->height = 3; /* default radius = 1 */
1569  else
1570  kernel->width = kernel->height = (size_t) (2*args->rho+1);
1571  kernel->x = kernel->y = (ssize_t) (kernel->width-1)/2;
1572  scale = args->sigma;
1573  }
1574  else {
1575  /* NOTE: user defaults set in "AcquireKernelInfo()" */
1576  if ( args->rho < 1.0 || args->sigma < 1.0 )
1577  return(DestroyKernelInfo(kernel)); /* invalid args given */
1578  kernel->width = (size_t)args->rho;
1579  kernel->height = (size_t)args->sigma;
1580  if ( args->xi < 0.0 || args->xi > (double)kernel->width ||
1581  args->psi < 0.0 || args->psi > (double)kernel->height )
1582  return(DestroyKernelInfo(kernel)); /* invalid args given */
1583  kernel->x = (ssize_t) args->xi;
1584  kernel->y = (ssize_t) args->psi;
1585  scale = 1.0;
1586  }
1588  AcquireAlignedMemory(kernel->width,kernel->height*
1589  sizeof(*kernel->values)));
1590  if (kernel->values == (MagickRealType *) NULL)
1591  return(DestroyKernelInfo(kernel));
1592 
1593  /* set all kernel values to scale given */
1594  u=(ssize_t) (kernel->width*kernel->height);
1595  for ( i=0; i < u; i++)
1596  kernel->values[i] = scale;
1597  kernel->minimum = kernel->maximum = scale; /* a flat shape */
1598  kernel->positive_range = scale*u;
1599  break;
1600  }
1601  case OctagonKernel:
1602  {
1603  if (args->rho < 1.0)
1604  kernel->width = kernel->height = 5; /* default radius = 2 */
1605  else
1606  kernel->width = kernel->height = ((size_t)args->rho)*2+1;
1607  kernel->x = kernel->y = (ssize_t) (kernel->width-1)/2;
1608 
1610  AcquireAlignedMemory(kernel->width,kernel->height*
1611  sizeof(*kernel->values)));
1612  if (kernel->values == (MagickRealType *) NULL)
1613  return(DestroyKernelInfo(kernel));
1614 
1615  for ( i=0, v=-kernel->y; v <= (ssize_t)kernel->y; v++)
1616  for ( u=-kernel->x; u <= (ssize_t)kernel->x; u++, i++)
1617  if ( (labs((long) u)+labs((long) v)) <=
1618  ((long)kernel->x + (long)(kernel->x/2)) )
1619  kernel->positive_range += kernel->values[i] = args->sigma;
1620  else
1621  kernel->values[i] = nan;
1622  kernel->minimum = kernel->maximum = args->sigma; /* a flat shape */
1623  break;
1624  }
1625  case DiskKernel:
1626  {
1627  ssize_t
1628  limit = (ssize_t)(args->rho*args->rho);
1629 
1630  if (args->rho < 0.4) /* default radius approx 4.3 */
1631  kernel->width = kernel->height = 9L, limit = 18L;
1632  else
1633  kernel->width = kernel->height = (size_t)fabs(args->rho)*2+1;
1634  kernel->x = kernel->y = (ssize_t) (kernel->width-1)/2;
1635 
1637  AcquireAlignedMemory(kernel->width,kernel->height*
1638  sizeof(*kernel->values)));
1639  if (kernel->values == (MagickRealType *) NULL)
1640  return(DestroyKernelInfo(kernel));
1641 
1642  for ( i=0, v=-kernel->y; v <= (ssize_t)kernel->y; v++)
1643  for ( u=-kernel->x; u <= (ssize_t)kernel->x; u++, i++)
1644  if ((u*u+v*v) <= limit)
1645  kernel->positive_range += kernel->values[i] = args->sigma;
1646  else
1647  kernel->values[i] = nan;
1648  kernel->minimum = kernel->maximum = args->sigma; /* a flat shape */
1649  break;
1650  }
1651  case PlusKernel:
1652  {
1653  if (args->rho < 1.0)
1654  kernel->width = kernel->height = 5; /* default radius 2 */
1655  else
1656  kernel->width = kernel->height = ((size_t)args->rho)*2+1;
1657  kernel->x = kernel->y = (ssize_t) (kernel->width-1)/2;
1658 
1660  AcquireAlignedMemory(kernel->width,kernel->height*
1661  sizeof(*kernel->values)));
1662  if (kernel->values == (MagickRealType *) NULL)
1663  return(DestroyKernelInfo(kernel));
1664 
1665  /* set all kernel values along axises to given scale */
1666  for ( i=0, v=-kernel->y; v <= (ssize_t)kernel->y; v++)
1667  for ( u=-kernel->x; u <= (ssize_t)kernel->x; u++, i++)
1668  kernel->values[i] = (u == 0 || v == 0) ? args->sigma : nan;
1669  kernel->minimum = kernel->maximum = args->sigma; /* a flat shape */
1670  kernel->positive_range = args->sigma*(kernel->width*2.0 - 1.0);
1671  break;
1672  }
1673  case CrossKernel:
1674  {
1675  if (args->rho < 1.0)
1676  kernel->width = kernel->height = 5; /* default radius 2 */
1677  else
1678  kernel->width = kernel->height = ((size_t)args->rho)*2+1;
1679  kernel->x = kernel->y = (ssize_t) (kernel->width-1)/2;
1680 
1682  AcquireAlignedMemory(kernel->width,kernel->height*
1683  sizeof(*kernel->values)));
1684  if (kernel->values == (MagickRealType *) NULL)
1685  return(DestroyKernelInfo(kernel));
1686 
1687  /* set all kernel values along axises to given scale */
1688  for ( i=0, v=-kernel->y; v <= (ssize_t)kernel->y; v++)
1689  for ( u=-kernel->x; u <= (ssize_t)kernel->x; u++, i++)
1690  kernel->values[i] = (u == v || u == -v) ? args->sigma : nan;
1691  kernel->minimum = kernel->maximum = args->sigma; /* a flat shape */
1692  kernel->positive_range = args->sigma*(kernel->width*2.0 - 1.0);
1693  break;
1694  }
1695  /*
1696  HitAndMiss Kernels
1697  */
1698  case RingKernel:
1699  case PeaksKernel:
1700  {
1701  ssize_t
1702  limit1,
1703  limit2,
1704  scale;
1705 
1706  if (args->rho < args->sigma)
1707  {
1708  kernel->width = ((size_t)args->sigma)*2+1;
1709  limit1 = (ssize_t)(args->rho*args->rho);
1710  limit2 = (ssize_t)(args->sigma*args->sigma);
1711  }
1712  else
1713  {
1714  kernel->width = ((size_t)args->rho)*2+1;
1715  limit1 = (ssize_t)(args->sigma*args->sigma);
1716  limit2 = (ssize_t)(args->rho*args->rho);
1717  }
1718  if ( limit2 <= 0 )
1719  kernel->width = 7L, limit1 = 7L, limit2 = 11L;
1720 
1721  kernel->height = kernel->width;
1722  kernel->x = kernel->y = (ssize_t) (kernel->width-1)/2;
1724  AcquireAlignedMemory(kernel->width,kernel->height*
1725  sizeof(*kernel->values)));
1726  if (kernel->values == (MagickRealType *) NULL)
1727  return(DestroyKernelInfo(kernel));
1728 
1729  /* set a ring of points of 'scale' ( 0.0 for PeaksKernel ) */
1730  scale = (ssize_t) (( type == PeaksKernel) ? 0.0 : args->xi);
1731  for ( i=0, v= -kernel->y; v <= (ssize_t)kernel->y; v++)
1732  for ( u=-kernel->x; u <= (ssize_t)kernel->x; u++, i++)
1733  { ssize_t radius=u*u+v*v;
1734  if (limit1 < radius && radius <= limit2)
1735  kernel->positive_range += kernel->values[i] = (double) scale;
1736  else
1737  kernel->values[i] = nan;
1738  }
1739  kernel->minimum = kernel->maximum = (double) scale;
1740  if ( type == PeaksKernel ) {
1741  /* set the central point in the middle */
1742  kernel->values[kernel->x+kernel->y*kernel->width] = 1.0;
1743  kernel->positive_range = 1.0;
1744  kernel->maximum = 1.0;
1745  }
1746  break;
1747  }
1748  case EdgesKernel:
1749  {
1750  kernel=AcquireKernelInfo("ThinSE:482",exception);
1751  if (kernel == (KernelInfo *) NULL)
1752  return(kernel);
1753  kernel->type = type;
1754  ExpandMirrorKernelInfo(kernel); /* mirror expansion of kernels */
1755  break;
1756  }
1757  case CornersKernel:
1758  {
1759  kernel=AcquireKernelInfo("ThinSE:87",exception);
1760  if (kernel == (KernelInfo *) NULL)
1761  return(kernel);
1762  kernel->type = type;
1763  ExpandRotateKernelInfo(kernel, 90.0); /* Expand 90 degree rotations */
1764  break;
1765  }
1766  case DiagonalsKernel:
1767  {
1768  switch ( (int) args->rho ) {
1769  case 0:
1770  default:
1771  { KernelInfo
1772  *new_kernel;
1773  kernel=ParseKernelArray("3: 0,0,0 0,-,1 1,1,-");
1774  if (kernel == (KernelInfo *) NULL)
1775  return(kernel);
1776  kernel->type = type;
1777  new_kernel=ParseKernelArray("3: 0,0,1 0,-,1 0,1,-");
1778  if (new_kernel == (KernelInfo *) NULL)
1779  return(DestroyKernelInfo(kernel));
1780  new_kernel->type = type;
1781  LastKernelInfo(kernel)->next = new_kernel;
1782  ExpandMirrorKernelInfo(kernel);
1783  return(kernel);
1784  }
1785  case 1:
1786  kernel=ParseKernelArray("3: 0,0,0 0,-,1 1,1,-");
1787  break;
1788  case 2:
1789  kernel=ParseKernelArray("3: 0,0,1 0,-,1 0,1,-");
1790  break;
1791  }
1792  if (kernel == (KernelInfo *) NULL)
1793  return(kernel);
1794  kernel->type = type;
1795  RotateKernelInfo(kernel, args->sigma);
1796  break;
1797  }
1798  case LineEndsKernel:
1799  { /* Kernels for finding the end of thin lines */
1800  switch ( (int) args->rho ) {
1801  case 0:
1802  default:
1803  /* set of kernels to find all end of lines */
1804  return(AcquireKernelInfo("LineEnds:1>;LineEnds:2>",exception));
1805  case 1:
1806  /* kernel for 4-connected line ends - no rotation */
1807  kernel=ParseKernelArray("3: 0,0,- 0,1,1 0,0,-");
1808  break;
1809  case 2:
1810  /* kernel to add for 8-connected lines - no rotation */
1811  kernel=ParseKernelArray("3: 0,0,0 0,1,0 0,0,1");
1812  break;
1813  case 3:
1814  /* kernel to add for orthogonal line ends - does not find corners */
1815  kernel=ParseKernelArray("3: 0,0,0 0,1,1 0,0,0");
1816  break;
1817  case 4:
1818  /* traditional line end - fails on last T end */
1819  kernel=ParseKernelArray("3: 0,0,0 0,1,- 0,0,-");
1820  break;
1821  }
1822  if (kernel == (KernelInfo *) NULL)
1823  return(kernel);
1824  kernel->type = type;
1825  RotateKernelInfo(kernel, args->sigma);
1826  break;
1827  }
1828  case LineJunctionsKernel:
1829  { /* kernels for finding the junctions of multiple lines */
1830  switch ( (int) args->rho ) {
1831  case 0:
1832  default:
1833  /* set of kernels to find all line junctions */
1834  return(AcquireKernelInfo("LineJunctions:1@;LineJunctions:2>",exception));
1835  case 1:
1836  /* Y Junction */
1837  kernel=ParseKernelArray("3: 1,-,1 -,1,- -,1,-");
1838  break;
1839  case 2:
1840  /* Diagonal T Junctions */
1841  kernel=ParseKernelArray("3: 1,-,- -,1,- 1,-,1");
1842  break;
1843  case 3:
1844  /* Orthogonal T Junctions */
1845  kernel=ParseKernelArray("3: -,-,- 1,1,1 -,1,-");
1846  break;
1847  case 4:
1848  /* Diagonal X Junctions */
1849  kernel=ParseKernelArray("3: 1,-,1 -,1,- 1,-,1");
1850  break;
1851  case 5:
1852  /* Orthogonal X Junctions - minimal diamond kernel */
1853  kernel=ParseKernelArray("3: -,1,- 1,1,1 -,1,-");
1854  break;
1855  }
1856  if (kernel == (KernelInfo *) NULL)
1857  return(kernel);
1858  kernel->type = type;
1859  RotateKernelInfo(kernel, args->sigma);
1860  break;
1861  }
1862  case RidgesKernel:
1863  { /* Ridges - Ridge finding kernels */
1864  KernelInfo
1865  *new_kernel;
1866  switch ( (int) args->rho ) {
1867  case 1:
1868  default:
1869  kernel=ParseKernelArray("3x1:0,1,0");
1870  if (kernel == (KernelInfo *) NULL)
1871  return(kernel);
1872  kernel->type = type;
1873  ExpandRotateKernelInfo(kernel, 90.0); /* 2 rotated kernels (symmetrical) */
1874  break;
1875  case 2:
1876  kernel=ParseKernelArray("4x1:0,1,1,0");
1877  if (kernel == (KernelInfo *) NULL)
1878  return(kernel);
1879  kernel->type = type;
1880  ExpandRotateKernelInfo(kernel, 90.0); /* 4 rotated kernels */
1881 
1882  /* Kernels to find a stepped 'thick' line, 4 rotates + mirrors */
1883  /* Unfortunatally we can not yet rotate a non-square kernel */
1884  /* But then we can't flip a non-symetrical kernel either */
1885  new_kernel=ParseKernelArray("4x3+1+1:0,1,1,- -,1,1,- -,1,1,0");
1886  if (new_kernel == (KernelInfo *) NULL)
1887  return(DestroyKernelInfo(kernel));
1888  new_kernel->type = type;
1889  LastKernelInfo(kernel)->next = new_kernel;
1890  new_kernel=ParseKernelArray("4x3+2+1:0,1,1,- -,1,1,- -,1,1,0");
1891  if (new_kernel == (KernelInfo *) NULL)
1892  return(DestroyKernelInfo(kernel));
1893  new_kernel->type = type;
1894  LastKernelInfo(kernel)->next = new_kernel;
1895  new_kernel=ParseKernelArray("4x3+1+1:-,1,1,0 -,1,1,- 0,1,1,-");
1896  if (new_kernel == (KernelInfo *) NULL)
1897  return(DestroyKernelInfo(kernel));
1898  new_kernel->type = type;
1899  LastKernelInfo(kernel)->next = new_kernel;
1900  new_kernel=ParseKernelArray("4x3+2+1:-,1,1,0 -,1,1,- 0,1,1,-");
1901  if (new_kernel == (KernelInfo *) NULL)
1902  return(DestroyKernelInfo(kernel));
1903  new_kernel->type = type;
1904  LastKernelInfo(kernel)->next = new_kernel;
1905  new_kernel=ParseKernelArray("3x4+1+1:0,-,- 1,1,1 1,1,1 -,-,0");
1906  if (new_kernel == (KernelInfo *) NULL)
1907  return(DestroyKernelInfo(kernel));
1908  new_kernel->type = type;
1909  LastKernelInfo(kernel)->next = new_kernel;
1910  new_kernel=ParseKernelArray("3x4+1+2:0,-,- 1,1,1 1,1,1 -,-,0");
1911  if (new_kernel == (KernelInfo *) NULL)
1912  return(DestroyKernelInfo(kernel));
1913  new_kernel->type = type;
1914  LastKernelInfo(kernel)->next = new_kernel;
1915  new_kernel=ParseKernelArray("3x4+1+1:-,-,0 1,1,1 1,1,1 0,-,-");
1916  if (new_kernel == (KernelInfo *) NULL)
1917  return(DestroyKernelInfo(kernel));
1918  new_kernel->type = type;
1919  LastKernelInfo(kernel)->next = new_kernel;
1920  new_kernel=ParseKernelArray("3x4+1+2:-,-,0 1,1,1 1,1,1 0,-,-");
1921  if (new_kernel == (KernelInfo *) NULL)
1922  return(DestroyKernelInfo(kernel));
1923  new_kernel->type = type;
1924  LastKernelInfo(kernel)->next = new_kernel;
1925  break;
1926  }
1927  break;
1928  }
1929  case ConvexHullKernel:
1930  {
1931  KernelInfo
1932  *new_kernel;
1933  /* first set of 8 kernels */
1934  kernel=ParseKernelArray("3: 1,1,- 1,0,- 1,-,0");
1935  if (kernel == (KernelInfo *) NULL)
1936  return(kernel);
1937  kernel->type = type;
1938  ExpandRotateKernelInfo(kernel, 90.0);
1939  /* append the mirror versions too - no flip function yet */
1940  new_kernel=ParseKernelArray("3: 1,1,1 1,0,- -,-,0");
1941  if (new_kernel == (KernelInfo *) NULL)
1942  return(DestroyKernelInfo(kernel));
1943  new_kernel->type = type;
1944  ExpandRotateKernelInfo(new_kernel, 90.0);
1945  LastKernelInfo(kernel)->next = new_kernel;
1946  break;
1947  }
1948  case SkeletonKernel:
1949  {
1950  switch ( (int) args->rho ) {
1951  case 1:
1952  default:
1953  /* Traditional Skeleton...
1954  ** A cyclically rotated single kernel
1955  */
1956  kernel=AcquireKernelInfo("ThinSE:482",exception);
1957  if (kernel == (KernelInfo *) NULL)
1958  return(kernel);
1959  kernel->type = type;
1960  ExpandRotateKernelInfo(kernel, 45.0); /* 8 rotations */
1961  break;
1962  case 2:
1963  /* HIPR Variation of the cyclic skeleton
1964  ** Corners of the traditional method made more forgiving,
1965  ** but the retain the same cyclic order.
1966  */
1967  kernel=AcquireKernelInfo("ThinSE:482; ThinSE:87x90;",exception);
1968  if (kernel == (KernelInfo *) NULL)
1969  return(kernel);
1970  if (kernel->next == (KernelInfo *) NULL)
1971  return(DestroyKernelInfo(kernel));
1972  kernel->type = type;
1973  kernel->next->type = type;
1974  ExpandRotateKernelInfo(kernel, 90.0); /* 4 rotations of the 2 kernels */
1975  break;
1976  case 3:
1977  /* Dan Bloomberg Skeleton, from his paper on 3x3 thinning SE's
1978  ** "Connectivity-Preserving Morphological Image Thransformations"
1979  ** by Dan S. Bloomberg, available on Leptonica, Selected Papers,
1980  ** http://www.leptonica.com/papers/conn.pdf
1981  */
1982  kernel=AcquireKernelInfo("ThinSE:41; ThinSE:42; ThinSE:43",
1983  exception);
1984  if (kernel == (KernelInfo *) NULL)
1985  return(kernel);
1986  kernel->type = type;
1987  kernel->next->type = type;
1988  kernel->next->next->type = type;
1989  ExpandMirrorKernelInfo(kernel); /* 12 kernels total */
1990  break;
1991  }
1992  break;
1993  }
1994  case ThinSEKernel:
1995  { /* Special kernels for general thinning, while preserving connections
1996  ** "Connectivity-Preserving Morphological Image Thransformations"
1997  ** by Dan S. Bloomberg, available on Leptonica, Selected Papers,
1998  ** http://www.leptonica.com/papers/conn.pdf
1999  ** And
2000  ** http://tpgit.github.com/Leptonica/ccthin_8c_source.html
2001  **
2002  ** Note kernels do not specify the origin pixel, allowing them
2003  ** to be used for both thickening and thinning operations.
2004  */
2005  switch ( (int) args->rho ) {
2006  /* SE for 4-connected thinning */
2007  case 41: /* SE_4_1 */
2008  kernel=ParseKernelArray("3: -,-,1 0,-,1 -,-,1");
2009  break;
2010  case 42: /* SE_4_2 */
2011  kernel=ParseKernelArray("3: -,-,1 0,-,1 -,0,-");
2012  break;
2013  case 43: /* SE_4_3 */
2014  kernel=ParseKernelArray("3: -,0,- 0,-,1 -,-,1");
2015  break;
2016  case 44: /* SE_4_4 */
2017  kernel=ParseKernelArray("3: -,0,- 0,-,1 -,0,-");
2018  break;
2019  case 45: /* SE_4_5 */
2020  kernel=ParseKernelArray("3: -,0,1 0,-,1 -,0,-");
2021  break;
2022  case 46: /* SE_4_6 */
2023  kernel=ParseKernelArray("3: -,0,- 0,-,1 -,0,1");
2024  break;
2025  case 47: /* SE_4_7 */
2026  kernel=ParseKernelArray("3: -,1,1 0,-,1 -,0,-");
2027  break;
2028  case 48: /* SE_4_8 */
2029  kernel=ParseKernelArray("3: -,-,1 0,-,1 0,-,1");
2030  break;
2031  case 49: /* SE_4_9 */
2032  kernel=ParseKernelArray("3: 0,-,1 0,-,1 -,-,1");
2033  break;
2034  /* SE for 8-connected thinning - negatives of the above */
2035  case 81: /* SE_8_0 */
2036  kernel=ParseKernelArray("3: -,1,- 0,-,1 -,1,-");
2037  break;
2038  case 82: /* SE_8_2 */
2039  kernel=ParseKernelArray("3: -,1,- 0,-,1 0,-,-");
2040  break;
2041  case 83: /* SE_8_3 */
2042  kernel=ParseKernelArray("3: 0,-,- 0,-,1 -,1,-");
2043  break;
2044  case 84: /* SE_8_4 */
2045  kernel=ParseKernelArray("3: 0,-,- 0,-,1 0,-,-");
2046  break;
2047  case 85: /* SE_8_5 */
2048  kernel=ParseKernelArray("3: 0,-,1 0,-,1 0,-,-");
2049  break;
2050  case 86: /* SE_8_6 */
2051  kernel=ParseKernelArray("3: 0,-,- 0,-,1 0,-,1");
2052  break;
2053  case 87: /* SE_8_7 */
2054  kernel=ParseKernelArray("3: -,1,- 0,-,1 0,0,-");
2055  break;
2056  case 88: /* SE_8_8 */
2057  kernel=ParseKernelArray("3: -,1,- 0,-,1 0,1,-");
2058  break;
2059  case 89: /* SE_8_9 */
2060  kernel=ParseKernelArray("3: 0,1,- 0,-,1 -,1,-");
2061  break;
2062  /* Special combined SE kernels */
2063  case 423: /* SE_4_2 , SE_4_3 Combined Kernel */
2064  kernel=ParseKernelArray("3: -,-,1 0,-,- -,0,-");
2065  break;
2066  case 823: /* SE_8_2 , SE_8_3 Combined Kernel */
2067  kernel=ParseKernelArray("3: -,1,- -,-,1 0,-,-");
2068  break;
2069  case 481: /* SE_48_1 - General Connected Corner Kernel */
2070  kernel=ParseKernelArray("3: -,1,1 0,-,1 0,0,-");
2071  break;
2072  default:
2073  case 482: /* SE_48_2 - General Edge Kernel */
2074  kernel=ParseKernelArray("3: 0,-,1 0,-,1 0,-,1");
2075  break;
2076  }
2077  if (kernel == (KernelInfo *) NULL)
2078  return(kernel);
2079  kernel->type = type;
2080  RotateKernelInfo(kernel, args->sigma);
2081  break;
2082  }
2083  /*
2084  Distance Measuring Kernels
2085  */
2086  case ChebyshevKernel:
2087  {
2088  if (args->rho < 1.0)
2089  kernel->width = kernel->height = 3; /* default radius = 1 */
2090  else
2091  kernel->width = kernel->height = ((size_t)args->rho)*2+1;
2092  kernel->x = kernel->y = (ssize_t) (kernel->width-1)/2;
2093 
2095  AcquireAlignedMemory(kernel->width,kernel->height*
2096  sizeof(*kernel->values)));
2097  if (kernel->values == (MagickRealType *) NULL)
2098  return(DestroyKernelInfo(kernel));
2099 
2100  for ( i=0, v=-kernel->y; v <= (ssize_t)kernel->y; v++)
2101  for ( u=-kernel->x; u <= (ssize_t)kernel->x; u++, i++)
2102  kernel->positive_range += ( kernel->values[i] =
2103  args->sigma*MagickMax(fabs((double)u),fabs((double)v)) );
2104  kernel->maximum = kernel->values[0];
2105  break;
2106  }
2107  case ManhattanKernel:
2108  {
2109  if (args->rho < 1.0)
2110  kernel->width = kernel->height = 3; /* default radius = 1 */
2111  else
2112  kernel->width = kernel->height = ((size_t)args->rho)*2+1;
2113  kernel->x = kernel->y = (ssize_t) (kernel->width-1)/2;
2114 
2116  AcquireAlignedMemory(kernel->width,kernel->height*
2117  sizeof(*kernel->values)));
2118  if (kernel->values == (MagickRealType *) NULL)
2119  return(DestroyKernelInfo(kernel));
2120 
2121  for ( i=0, v=-kernel->y; v <= (ssize_t)kernel->y; v++)
2122  for ( u=-kernel->x; u <= (ssize_t)kernel->x; u++, i++)
2123  kernel->positive_range += ( kernel->values[i] =
2124  args->sigma*(labs((long) u)+labs((long) v)) );
2125  kernel->maximum = kernel->values[0];
2126  break;
2127  }
2128  case OctagonalKernel:
2129  {
2130  if (args->rho < 2.0)
2131  kernel->width = kernel->height = 5; /* default/minimum radius = 2 */
2132  else
2133  kernel->width = kernel->height = ((size_t)args->rho)*2+1;
2134  kernel->x = kernel->y = (ssize_t) (kernel->width-1)/2;
2135 
2137  AcquireAlignedMemory(kernel->width,kernel->height*
2138  sizeof(*kernel->values)));
2139  if (kernel->values == (MagickRealType *) NULL)
2140  return(DestroyKernelInfo(kernel));
2141 
2142  for ( i=0, v=-kernel->y; v <= (ssize_t)kernel->y; v++)
2143  for ( u=-kernel->x; u <= (ssize_t)kernel->x; u++, i++)
2144  {
2145  double
2146  r1 = MagickMax(fabs((double)u),fabs((double)v)),
2147  r2 = floor((double)(labs((long)u)+labs((long)v)+1)/1.5);
2148  kernel->positive_range += kernel->values[i] =
2149  args->sigma*MagickMax(r1,r2);
2150  }
2151  kernel->maximum = kernel->values[0];
2152  break;
2153  }
2154  case EuclideanKernel:
2155  {
2156  if (args->rho < 1.0)
2157  kernel->width = kernel->height = 3; /* default radius = 1 */
2158  else
2159  kernel->width = kernel->height = ((size_t)args->rho)*2+1;
2160  kernel->x = kernel->y = (ssize_t) (kernel->width-1)/2;
2161 
2163  AcquireAlignedMemory(kernel->width,kernel->height*
2164  sizeof(*kernel->values)));
2165  if (kernel->values == (MagickRealType *) NULL)
2166  return(DestroyKernelInfo(kernel));
2167 
2168  for ( i=0, v=-kernel->y; v <= (ssize_t)kernel->y; v++)
2169  for ( u=-kernel->x; u <= (ssize_t)kernel->x; u++, i++)
2170  kernel->positive_range += ( kernel->values[i] =
2171  args->sigma*sqrt((double)(u*u+v*v)) );
2172  kernel->maximum = kernel->values[0];
2173  break;
2174  }
2175  default:
2176  {
2177  /* No-Op Kernel - Basically just a single pixel on its own */
2178  kernel=ParseKernelArray("1:1");
2179  if (kernel == (KernelInfo *) NULL)
2180  return(kernel);
2181  kernel->type = UndefinedKernel;
2182  break;
2183  }
2184  break;
2185  }
2186  return(kernel);
2187 }
2188 
2189 /*
2190 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2191 % %
2192 % %
2193 % %
2194 % C l o n e K e r n e l I n f o %
2195 % %
2196 % %
2197 % %
2198 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2199 %
2200 % CloneKernelInfo() creates a new clone of the given Kernel List so that its
2201 % can be modified without effecting the original. The cloned kernel should
2202 % be destroyed using DestoryKernelInfo() when no longer needed.
2203 %
2204 % The format of the CloneKernelInfo method is:
2205 %
2206 % KernelInfo *CloneKernelInfo(const KernelInfo *kernel)
2207 %
2208 % A description of each parameter follows:
2209 %
2210 % o kernel: the Morphology/Convolution kernel to be cloned
2211 %
2212 */
2214 {
2215  register ssize_t
2216  i;
2217 
2218  KernelInfo
2219  *new_kernel;
2220 
2221  assert(kernel != (KernelInfo *) NULL);
2222  new_kernel=(KernelInfo *) AcquireMagickMemory(sizeof(*kernel));
2223  if (new_kernel == (KernelInfo *) NULL)
2224  return(new_kernel);
2225  *new_kernel=(*kernel); /* copy values in structure */
2226 
2227  /* replace the values with a copy of the values */
2228  new_kernel->values=(MagickRealType *) MagickAssumeAligned(
2229  AcquireAlignedMemory(kernel->width,kernel->height*sizeof(*kernel->values)));
2230  if (new_kernel->values == (MagickRealType *) NULL)
2231  return(DestroyKernelInfo(new_kernel));
2232  for (i=0; i < (ssize_t) (kernel->width*kernel->height); i++)
2233  new_kernel->values[i]=kernel->values[i];
2234 
2235  /* Also clone the next kernel in the kernel list */
2236  if ( kernel->next != (KernelInfo *) NULL ) {
2237  new_kernel->next = CloneKernelInfo(kernel->next);
2238  if ( new_kernel->next == (KernelInfo *) NULL )
2239  return(DestroyKernelInfo(new_kernel));
2240  }
2241 
2242  return(new_kernel);
2243 }
2244 
2245 /*
2246 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2247 % %
2248 % %
2249 % %
2250 % D e s t r o y K e r n e l I n f o %
2251 % %
2252 % %
2253 % %
2254 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2255 %
2256 % DestroyKernelInfo() frees the memory used by a Convolution/Morphology
2257 % kernel.
2258 %
2259 % The format of the DestroyKernelInfo method is:
2260 %
2261 % KernelInfo *DestroyKernelInfo(KernelInfo *kernel)
2262 %
2263 % A description of each parameter follows:
2264 %
2265 % o kernel: the Morphology/Convolution kernel to be destroyed
2266 %
2267 */
2269 {
2270  assert(kernel != (KernelInfo *) NULL);
2271  if (kernel->next != (KernelInfo *) NULL)
2272  kernel->next=DestroyKernelInfo(kernel->next);
2273  kernel->values=(MagickRealType *) RelinquishAlignedMemory(kernel->values);
2274  kernel=(KernelInfo *) RelinquishMagickMemory(kernel);
2275  return(kernel);
2276 }
2277 
2278 /*
2279 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2280 % %
2281 % %
2282 % %
2283 + E x p a n d M i r r o r K e r n e l I n f o %
2284 % %
2285 % %
2286 % %
2287 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2288 %
2289 % ExpandMirrorKernelInfo() takes a single kernel, and expands it into a
2290 % sequence of 90-degree rotated kernels but providing a reflected 180
2291 % rotatation, before the -/+ 90-degree rotations.
2292 %
2293 % This special rotation order produces a better, more symetrical thinning of
2294 % objects.
2295 %
2296 % The format of the ExpandMirrorKernelInfo method is:
2297 %
2298 % void ExpandMirrorKernelInfo(KernelInfo *kernel)
2299 %
2300 % A description of each parameter follows:
2301 %
2302 % o kernel: the Morphology/Convolution kernel
2303 %
2304 % This function is only internel to this module, as it is not finalized,
2305 % especially with regard to non-orthogonal angles, and rotation of larger
2306 % 2D kernels.
2307 */
2308 
2309 #if 0
2310 static void FlopKernelInfo(KernelInfo *kernel)
2311  { /* Do a Flop by reversing each row. */
2312  size_t
2313  y;
2314  register ssize_t
2315  x,r;
2316  register double
2317  *k,t;
2318 
2319  for ( y=0, k=kernel->values; y < kernel->height; y++, k+=kernel->width)
2320  for ( x=0, r=kernel->width-1; x<kernel->width/2; x++, r--)
2321  t=k[x], k[x]=k[r], k[r]=t;
2322 
2323  kernel->x = kernel->width - kernel->x - 1;
2324  angle = fmod(angle+180.0, 360.0);
2325  }
2326 #endif
2327 
2329 {
2330  KernelInfo
2331  *clone,
2332  *last;
2333 
2334  last = kernel;
2335 
2336  clone = CloneKernelInfo(last);
2337  if (clone == (KernelInfo *) NULL)
2338  return;
2339  RotateKernelInfo(clone, 180); /* flip */
2340  LastKernelInfo(last)->next = clone;
2341  last = clone;
2342 
2343  clone = CloneKernelInfo(last);
2344  if (clone == (KernelInfo *) NULL)
2345  return;
2346  RotateKernelInfo(clone, 90); /* transpose */
2347  LastKernelInfo(last)->next = clone;
2348  last = clone;
2349 
2350  clone = CloneKernelInfo(last);
2351  if (clone == (KernelInfo *) NULL)
2352  return;
2353  RotateKernelInfo(clone, 180); /* flop */
2354  LastKernelInfo(last)->next = clone;
2355 
2356  return;
2357 }
2358 
2359 /*
2360 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2361 % %
2362 % %
2363 % %
2364 + E x p a n d R o t a t e K e r n e l I n f o %
2365 % %
2366 % %
2367 % %
2368 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2369 %
2370 % ExpandRotateKernelInfo() takes a kernel list, and expands it by rotating
2371 % incrementally by the angle given, until the kernel repeats.
2372 %
2373 % WARNING: 45 degree rotations only works for 3x3 kernels.
2374 % While 90 degree roatations only works for linear and square kernels
2375 %
2376 % The format of the ExpandRotateKernelInfo method is:
2377 %
2378 % void ExpandRotateKernelInfo(KernelInfo *kernel, double angle)
2379 %
2380 % A description of each parameter follows:
2381 %
2382 % o kernel: the Morphology/Convolution kernel
2383 %
2384 % o angle: angle to rotate in degrees
2385 %
2386 % This function is only internel to this module, as it is not finalized,
2387 % especially with regard to non-orthogonal angles, and rotation of larger
2388 % 2D kernels.
2389 */
2390 
2391 /* Internal Routine - Return true if two kernels are the same */
2393  const KernelInfo *kernel2)
2394 {
2395  register size_t
2396  i;
2397 
2398  /* check size and origin location */
2399  if ( kernel1->width != kernel2->width
2400  || kernel1->height != kernel2->height
2401  || kernel1->x != kernel2->x
2402  || kernel1->y != kernel2->y )
2403  return MagickFalse;
2404 
2405  /* check actual kernel values */
2406  for (i=0; i < (kernel1->width*kernel1->height); i++) {
2407  /* Test for Nan equivalence */
2408  if ( IsNaN(kernel1->values[i]) && !IsNaN(kernel2->values[i]) )
2409  return MagickFalse;
2410  if ( IsNaN(kernel2->values[i]) && !IsNaN(kernel1->values[i]) )
2411  return MagickFalse;
2412  /* Test actual values are equivalent */
2413  if ( fabs(kernel1->values[i] - kernel2->values[i]) >= MagickEpsilon )
2414  return MagickFalse;
2415  }
2416 
2417  return MagickTrue;
2418 }
2419 
2420 static void ExpandRotateKernelInfo(KernelInfo *kernel,const double angle)
2421 {
2422  KernelInfo
2423  *clone_info,
2424  *last;
2425 
2426  clone_info=(KernelInfo *) NULL;
2427  last=kernel;
2428 DisableMSCWarning(4127)
2429  while (1) {
2431  clone_info=CloneKernelInfo(last);
2432  if (clone_info == (KernelInfo *) NULL)
2433  break;
2434  RotateKernelInfo(clone_info,angle);
2435  if (SameKernelInfo(kernel,clone_info) != MagickFalse)
2436  break;
2437  LastKernelInfo(last)->next=clone_info;
2438  last=clone_info;
2439  }
2440  if (clone_info != (KernelInfo *) NULL)
2441  clone_info=DestroyKernelInfo(clone_info); /* kernel repeated - junk */
2442  return;
2443 }
2444 
2445 /*
2446 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2447 % %
2448 % %
2449 % %
2450 + C a l c M e t a K e r n a l I n f o %
2451 % %
2452 % %
2453 % %
2454 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2455 %
2456 % CalcKernelMetaData() recalculate the KernelInfo meta-data of this kernel only,
2457 % using the kernel values. This should only ne used if it is not possible to
2458 % calculate that meta-data in some easier way.
2459 %
2460 % It is important that the meta-data is correct before ScaleKernelInfo() is
2461 % used to perform kernel normalization.
2462 %
2463 % The format of the CalcKernelMetaData method is:
2464 %
2465 % void CalcKernelMetaData(KernelInfo *kernel, const double scale )
2466 %
2467 % A description of each parameter follows:
2468 %
2469 % o kernel: the Morphology/Convolution kernel to modify
2470 %
2471 % WARNING: Minimum and Maximum values are assumed to include zero, even if
2472 % zero is not part of the kernel (as in Gaussian Derived kernels). This
2473 % however is not true for flat-shaped morphological kernels.
2474 %
2475 % WARNING: Only the specific kernel pointed to is modified, not a list of
2476 % multiple kernels.
2477 %
2478 % This is an internal function and not expected to be useful outside this
2479 % module. This could change however.
2480 */
2481 static void CalcKernelMetaData(KernelInfo *kernel)
2482 {
2483  register size_t
2484  i;
2485 
2486  kernel->minimum = kernel->maximum = 0.0;
2487  kernel->negative_range = kernel->positive_range = 0.0;
2488  for (i=0; i < (kernel->width*kernel->height); i++)
2489  {
2490  if ( fabs(kernel->values[i]) < MagickEpsilon )
2491  kernel->values[i] = 0.0;
2492  ( kernel->values[i] < 0)
2493  ? ( kernel->negative_range += kernel->values[i] )
2494  : ( kernel->positive_range += kernel->values[i] );
2495  Minimize(kernel->minimum, kernel->values[i]);
2496  Maximize(kernel->maximum, kernel->values[i]);
2497  }
2498 
2499  return;
2500 }
2501 
2502 /*
2503 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2504 % %
2505 % %
2506 % %
2507 % M o r p h o l o g y A p p l y %
2508 % %
2509 % %
2510 % %
2511 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2512 %
2513 % MorphologyApply() applies a morphological method, multiple times using
2514 % a list of multiple kernels. This is the method that should be called by
2515 % other 'operators' that internally use morphology operations as part of
2516 % their processing.
2517 %
2518 % It is basically equivalent to as MorphologyImage() (see below) but without
2519 % any user controls. This allows internel programs to use this method to
2520 % perform a specific task without possible interference by any API user
2521 % supplied settings.
2522 %
2523 % It is MorphologyImage() task to extract any such user controls, and
2524 % pass them to this function for processing.
2525 %
2526 % More specifically all given kernels should already be scaled, normalised,
2527 % and blended appropriatally before being parred to this routine. The
2528 % appropriate bias, and compose (typically 'UndefinedComposeOp') given.
2529 %
2530 % The format of the MorphologyApply method is:
2531 %
2532 % Image *MorphologyApply(const Image *image,MorphologyMethod method,
2533 % const ssize_t iterations,const KernelInfo *kernel,
2534 % const CompositeMethod compose,const double bias,
2535 % ExceptionInfo *exception)
2536 %
2537 % A description of each parameter follows:
2538 %
2539 % o image: the source image
2540 %
2541 % o method: the morphology method to be applied.
2542 %
2543 % o iterations: apply the operation this many times (or no change).
2544 % A value of -1 means loop until no change found.
2545 % How this is applied may depend on the morphology method.
2546 % Typically this is a value of 1.
2547 %
2548 % o channel: the channel type.
2549 %
2550 % o kernel: An array of double representing the morphology kernel.
2551 %
2552 % o compose: How to handle or merge multi-kernel results.
2553 % If 'UndefinedCompositeOp' use default for the Morphology method.
2554 % If 'NoCompositeOp' force image to be re-iterated by each kernel.
2555 % Otherwise merge the results using the compose method given.
2556 %
2557 % o bias: Convolution Output Bias.
2558 %
2559 % o exception: return any errors or warnings in this structure.
2560 %
2561 */
2562 static ssize_t MorphologyPrimitive(const Image *image,Image *morphology_image,
2563  const MorphologyMethod method,const KernelInfo *kernel,const double bias,
2564  ExceptionInfo *exception)
2565 {
2566 #define MorphologyTag "Morphology/Image"
2567 
2568  CacheView
2569  *image_view,
2570  *morphology_view;
2571 
2572  OffsetInfo
2573  offset;
2574 
2575  register ssize_t
2576  j,
2577  y;
2578 
2579  size_t
2580  *changes,
2581  changed,
2582  width;
2583 
2585  status;
2586 
2588  progress;
2589 
2590  assert(image != (Image *) NULL);
2591  assert(image->signature == MagickCoreSignature);
2592  assert(morphology_image != (Image *) NULL);
2593  assert(morphology_image->signature == MagickCoreSignature);
2594  assert(kernel != (KernelInfo *) NULL);
2595  assert(kernel->signature == MagickCoreSignature);
2596  assert(exception != (ExceptionInfo *) NULL);
2597  assert(exception->signature == MagickCoreSignature);
2598  status=MagickTrue;
2599  progress=0;
2600  image_view=AcquireVirtualCacheView(image,exception);
2601  morphology_view=AcquireAuthenticCacheView(morphology_image,exception);
2602  width=image->columns+kernel->width-1;
2603  offset.x=0;
2604  offset.y=0;
2605  switch (method)
2606  {
2607  case ConvolveMorphology:
2608  case DilateMorphology:
2611  {
2612  /*
2613  Kernel needs to used with reflection about origin.
2614  */
2615  offset.x=(ssize_t) kernel->width-kernel->x-1;
2616  offset.y=(ssize_t) kernel->height-kernel->y-1;
2617  break;
2618  }
2619  case ErodeMorphology:
2621  case HitAndMissMorphology:
2622  case ThinningMorphology:
2623  case ThickenMorphology:
2624  {
2625  offset.x=kernel->x;
2626  offset.y=kernel->y;
2627  break;
2628  }
2629  default:
2630  {
2631  assert("Not a Primitive Morphology Method" != (char *) NULL);
2632  break;
2633  }
2634  }
2635  changed=0;
2636  changes=(size_t *) AcquireQuantumMemory(GetOpenMPMaximumThreads(),
2637  sizeof(*changes));
2638  if (changes == (size_t *) NULL)
2639  ThrowFatalException(ResourceLimitFatalError,"MemoryAllocationFailed");
2640  for (j=0; j < (ssize_t) GetOpenMPMaximumThreads(); j++)
2641  changes[j]=0;
2642 
2643  if ((method == ConvolveMorphology) && (kernel->width == 1))
2644  {
2645  register ssize_t
2646  x;
2647 
2648  /*
2649  Special handling (for speed) of vertical (blur) kernels. This performs
2650  its handling in columns rather than in rows. This is only done
2651  for convolve as it is the only method that generates very large 1-D
2652  vertical kernels (such as a 'BlurKernel')
2653  */
2654 #if defined(MAGICKCORE_OPENMP_SUPPORT)
2655  #pragma omp parallel for schedule(static) shared(progress,status) \
2656  magick_number_threads(image,morphology_image,image->columns,1)
2657 #endif
2658  for (x=0; x < (ssize_t) image->columns; x++)
2659  {
2660  const int
2661  id = GetOpenMPThreadId();
2662 
2663  register const Quantum
2664  *magick_restrict p;
2665 
2666  register Quantum
2667  *magick_restrict q;
2668 
2669  register ssize_t
2670  r;
2671 
2672  ssize_t
2673  center;
2674 
2675  if (status == MagickFalse)
2676  continue;
2677  p=GetCacheViewVirtualPixels(image_view,x,-offset.y,1,image->rows+
2678  kernel->height-1,exception);
2679  q=GetCacheViewAuthenticPixels(morphology_view,x,0,1,
2680  morphology_image->rows,exception);
2681  if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
2682  {
2683  status=MagickFalse;
2684  continue;
2685  }
2686  center=(ssize_t) GetPixelChannels(image)*offset.y;
2687  for (r=0; r < (ssize_t) image->rows; r++)
2688  {
2689  register ssize_t
2690  i;
2691 
2692  for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
2693  {
2694  double
2695  alpha,
2696  gamma,
2697  pixel;
2698 
2699  PixelChannel
2700  channel;
2701 
2702  PixelTrait
2703  morphology_traits,
2704  traits;
2705 
2706  register const MagickRealType
2707  *magick_restrict k;
2708 
2709  register const Quantum
2710  *magick_restrict pixels;
2711 
2712  register ssize_t
2713  v;
2714 
2715  size_t
2716  count;
2717 
2718  channel=GetPixelChannelChannel(image,i);
2719  traits=GetPixelChannelTraits(image,channel);
2720  morphology_traits=GetPixelChannelTraits(morphology_image,channel);
2721  if ((traits == UndefinedPixelTrait) ||
2722  (morphology_traits == UndefinedPixelTrait))
2723  continue;
2724  if ((traits & CopyPixelTrait) != 0)
2725  {
2726  SetPixelChannel(morphology_image,channel,p[center+i],q);
2727  continue;
2728  }
2729  k=(&kernel->values[kernel->height-1]);
2730  pixels=p;
2731  pixel=bias;
2732  gamma=0.0;
2733  count=0;
2734  if (((image->alpha_trait & BlendPixelTrait) == 0) ||
2735  ((morphology_traits & BlendPixelTrait) == 0))
2736  for (v=0; v < (ssize_t) kernel->height; v++)
2737  {
2738  if (!IsNaN(*k))
2739  {
2740  pixel+=(*k)*pixels[i];
2741  gamma+=(*k);
2742  count++;
2743  }
2744  k--;
2745  pixels+=GetPixelChannels(image);
2746  }
2747  else
2748  for (v=0; v < (ssize_t) kernel->height; v++)
2749  {
2750  if (!IsNaN(*k))
2751  {
2752  alpha=(double) (QuantumScale*GetPixelAlpha(image,pixels));
2753  pixel+=alpha*(*k)*pixels[i];
2754  gamma+=alpha*(*k);
2755  count++;
2756  }
2757  k--;
2758  pixels+=GetPixelChannels(image);
2759  }
2760  if (fabs(pixel-p[center+i]) > MagickEpsilon)
2761  changes[id]++;
2762  gamma=PerceptibleReciprocal(gamma);
2763  if (count != 0)
2764  gamma*=(double) kernel->height/count;
2765  SetPixelChannel(morphology_image,channel,ClampToQuantum(gamma*
2766  pixel),q);
2767  }
2768  p+=GetPixelChannels(image);
2769  q+=GetPixelChannels(morphology_image);
2770  }
2771  if (SyncCacheViewAuthenticPixels(morphology_view,exception) == MagickFalse)
2772  status=MagickFalse;
2773  if (image->progress_monitor != (MagickProgressMonitor) NULL)
2774  {
2776  proceed;
2777 
2778 #if defined(MAGICKCORE_OPENMP_SUPPORT)
2779  #pragma omp atomic
2780 #endif
2781  progress++;
2782  proceed=SetImageProgress(image,MorphologyTag,progress,image->rows);
2783  if (proceed == MagickFalse)
2784  status=MagickFalse;
2785  }
2786  }
2787  morphology_image->type=image->type;
2788  morphology_view=DestroyCacheView(morphology_view);
2789  image_view=DestroyCacheView(image_view);
2790  for (j=0; j < (ssize_t) GetOpenMPMaximumThreads(); j++)
2791  changed+=changes[j];
2792  changes=(size_t *) RelinquishMagickMemory(changes);
2793  return(status ? (ssize_t) changed : 0);
2794  }
2795  /*
2796  Normal handling of horizontal or rectangular kernels (row by row).
2797  */
2798 #if defined(MAGICKCORE_OPENMP_SUPPORT)
2799  #pragma omp parallel for schedule(static) shared(progress,status) \
2800  magick_number_threads(image,morphology_image,image->rows,1)
2801 #endif
2802  for (y=0; y < (ssize_t) image->rows; y++)
2803  {
2804  const int
2805  id = GetOpenMPThreadId();
2806 
2807  register const Quantum
2808  *magick_restrict p;
2809 
2810  register Quantum
2811  *magick_restrict q;
2812 
2813  register ssize_t
2814  x;
2815 
2816  ssize_t
2817  center;
2818 
2819  if (status == MagickFalse)
2820  continue;
2821  p=GetCacheViewVirtualPixels(image_view,-offset.x,y-offset.y,width,
2822  kernel->height,exception);
2823  q=GetCacheViewAuthenticPixels(morphology_view,0,y,morphology_image->columns,
2824  1,exception);
2825  if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
2826  {
2827  status=MagickFalse;
2828  continue;
2829  }
2830  center=(ssize_t) (GetPixelChannels(image)*width*offset.y+
2831  GetPixelChannels(image)*offset.x);
2832  for (x=0; x < (ssize_t) image->columns; x++)
2833  {
2834  register ssize_t
2835  i;
2836 
2837  for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
2838  {
2839  double
2840  alpha,
2841  gamma,
2842  intensity,
2843  maximum,
2844  minimum,
2845  pixel;
2846 
2847  PixelChannel
2848  channel;
2849 
2850  PixelTrait
2851  morphology_traits,
2852  traits;
2853 
2854  register const MagickRealType
2855  *magick_restrict k;
2856 
2857  register const Quantum
2858  *magick_restrict pixels;
2859 
2860  register ssize_t
2861  u;
2862 
2863  size_t
2864  count;
2865 
2866  ssize_t
2867  v;
2868 
2869  channel=GetPixelChannelChannel(image,i);
2870  traits=GetPixelChannelTraits(image,channel);
2871  morphology_traits=GetPixelChannelTraits(morphology_image,channel);
2872  if ((traits == UndefinedPixelTrait) ||
2873  (morphology_traits == UndefinedPixelTrait))
2874  continue;
2875  if ((traits & CopyPixelTrait) != 0)
2876  {
2877  SetPixelChannel(morphology_image,channel,p[center+i],q);
2878  continue;
2879  }
2880  pixels=p;
2881  maximum=0.0;
2882  minimum=(double) QuantumRange;
2883  switch (method)
2884  {
2885  case ConvolveMorphology:
2886  {
2887  pixel=bias;
2888  break;
2889  }
2890  case DilateMorphology:
2892  {
2893  pixel=0.0;
2894  break;
2895  }
2896  case HitAndMissMorphology:
2897  case ErodeMorphology:
2898  {
2899  pixel=QuantumRange;
2900  break;
2901  }
2902  default:
2903  {
2904  pixel=(double) p[center+i];
2905  break;
2906  }
2907  }
2908  count=0;
2909  gamma=1.0;
2910  switch (method)
2911  {
2912  case ConvolveMorphology:
2913  {
2914  /*
2915  Weighted Average of pixels using reflected kernel
2916 
2917  For correct working of this operation for asymetrical kernels,
2918  the kernel needs to be applied in its reflected form. That is
2919  its values needs to be reversed.
2920 
2921  Correlation is actually the same as this but without reflecting
2922  the kernel, and thus 'lower-level' that Convolution. However as
2923  Convolution is the more common method used, and it does not
2924  really cost us much in terms of processing to use a reflected
2925  kernel, so it is Convolution that is implemented.
2926 
2927  Correlation will have its kernel reflected before calling this
2928  function to do a Convolve.
2929 
2930  For more details of Correlation vs Convolution see
2931  http://www.cs.umd.edu/~djacobs/CMSC426/Convolution.pdf
2932  */
2933  k=(&kernel->values[kernel->width*kernel->height-1]);
2934  if (((image->alpha_trait & BlendPixelTrait) == 0) ||
2935  ((morphology_traits & BlendPixelTrait) == 0))
2936  {
2937  /*
2938  No alpha blending.
2939  */
2940  for (v=0; v < (ssize_t) kernel->height; v++)
2941  {
2942  for (u=0; u < (ssize_t) kernel->width; u++)
2943  {
2944  if (!IsNaN(*k))
2945  {
2946  pixel+=(*k)*pixels[i];
2947  count++;
2948  }
2949  k--;
2950  pixels+=GetPixelChannels(image);
2951  }
2952  pixels+=(image->columns-1)*GetPixelChannels(image);
2953  }
2954  break;
2955  }
2956  /*
2957  Alpha blending.
2958  */
2959  gamma=0.0;
2960  for (v=0; v < (ssize_t) kernel->height; v++)
2961  {
2962  for (u=0; u < (ssize_t) kernel->width; u++)
2963  {
2964  if (!IsNaN(*k))
2965  {
2966  alpha=(double) (QuantumScale*GetPixelAlpha(image,pixels));
2967  pixel+=alpha*(*k)*pixels[i];
2968  gamma+=alpha*(*k);
2969  count++;
2970  }
2971  k--;
2972  pixels+=GetPixelChannels(image);
2973  }
2974  pixels+=(image->columns-1)*GetPixelChannels(image);
2975  }
2976  break;
2977  }
2978  case ErodeMorphology:
2979  {
2980  /*
2981  Minimum value within kernel neighbourhood.
2982 
2983  The kernel is not reflected for this operation. In normal
2984  Greyscale Morphology, the kernel value should be added
2985  to the real value, this is currently not done, due to the
2986  nature of the boolean kernels being used.
2987  */
2988  k=kernel->values;
2989  for (v=0; v < (ssize_t) kernel->height; v++)
2990  {
2991  for (u=0; u < (ssize_t) kernel->width; u++)
2992  {
2993  if (!IsNaN(*k) && (*k >= 0.5))
2994  {
2995  if ((double) pixels[i] < pixel)
2996  pixel=(double) pixels[i];
2997  }
2998  k++;
2999  pixels+=GetPixelChannels(image);
3000  }
3001  pixels+=(image->columns-1)*GetPixelChannels(image);
3002  }
3003  break;
3004  }
3005  case DilateMorphology:
3006  {
3007  /*
3008  Maximum value within kernel neighbourhood.
3009 
3010  For correct working of this operation for asymetrical kernels,
3011  the kernel needs to be applied in its reflected form. That is
3012  its values needs to be reversed.
3013 
3014  In normal Greyscale Morphology, the kernel value should be
3015  added to the real value, this is currently not done, due to the
3016  nature of the boolean kernels being used.
3017  */
3018  k=(&kernel->values[kernel->width*kernel->height-1]);
3019  for (v=0; v < (ssize_t) kernel->height; v++)
3020  {
3021  for (u=0; u < (ssize_t) kernel->width; u++)
3022  {
3023  if (!IsNaN(*k) && (*k > 0.5))
3024  {
3025  if ((double) pixels[i] > pixel)
3026  pixel=(double) pixels[i];
3027  }
3028  k--;
3029  pixels+=GetPixelChannels(image);
3030  }
3031  pixels+=(image->columns-1)*GetPixelChannels(image);
3032  }
3033  break;
3034  }
3035  case HitAndMissMorphology:
3036  case ThinningMorphology:
3037  case ThickenMorphology:
3038  {
3039  /*
3040  Minimum of foreground pixel minus maxumum of background pixels.
3041 
3042  The kernel is not reflected for this operation, and consists
3043  of both foreground and background pixel neighbourhoods, 0.0 for
3044  background, and 1.0 for foreground with either Nan or 0.5 values
3045  for don't care.
3046 
3047  This never produces a meaningless negative result. Such results
3048  cause Thinning/Thicken to not work correctly when used against a
3049  greyscale image.
3050  */
3051  k=kernel->values;
3052  for (v=0; v < (ssize_t) kernel->height; v++)
3053  {
3054  for (u=0; u < (ssize_t) kernel->width; u++)
3055  {
3056  if (!IsNaN(*k))
3057  {
3058  if (*k > 0.7)
3059  {
3060  if ((double) pixels[i] < minimum)
3061  minimum=(double) pixels[i];
3062  }
3063  else
3064  if (*k < 0.3)
3065  {
3066  if ((double) pixels[i] > maximum)
3067  maximum=(double) pixels[i];
3068  }
3069  count++;
3070  }
3071  k++;
3072  pixels+=GetPixelChannels(image);
3073  }
3074  pixels+=(image->columns-1)*GetPixelChannels(image);
3075  }
3076  minimum-=maximum;
3077  if (minimum < 0.0)
3078  minimum=0.0;
3079  pixel=minimum;
3080  if (method == ThinningMorphology)
3081  pixel=(double) p[center+i]-pixel;
3082  else
3083  if (method == ThickenMorphology)
3084  pixel+=(double) p[center+i]+pixel;
3085  break;
3086  }
3088  {
3089  /*
3090  Select pixel with minimum intensity within kernel neighbourhood.
3091 
3092  The kernel is not reflected for this operation.
3093  */
3094  k=kernel->values;
3095  for (v=0; v < (ssize_t) kernel->height; v++)
3096  {
3097  for (u=0; u < (ssize_t) kernel->width; u++)
3098  {
3099  if (!IsNaN(*k) && (*k >= 0.5))
3100  {
3101  intensity=(double) GetPixelIntensity(image,pixels);
3102  if (intensity < minimum)
3103  {
3104  pixel=(double) pixels[i];
3105  minimum=intensity;
3106  }
3107  count++;
3108  }
3109  k++;
3110  pixels+=GetPixelChannels(image);
3111  }
3112  pixels+=(image->columns-1)*GetPixelChannels(image);
3113  }
3114  break;
3115  }
3117  {
3118  /*
3119  Select pixel with maximum intensity within kernel neighbourhood.
3120 
3121  The kernel is not reflected for this operation.
3122  */
3123  k=(&kernel->values[kernel->width*kernel->height-1]);
3124  for (v=0; v < (ssize_t) kernel->height; v++)
3125  {
3126  for (u=0; u < (ssize_t) kernel->width; u++)
3127  {
3128  if (!IsNaN(*k) && (*k >= 0.5))
3129  {
3130  intensity=(double) GetPixelIntensity(image,pixels);
3131  if (intensity > maximum)
3132  {
3133  pixel=(double) pixels[i];
3134  maximum=intensity;
3135  }
3136  count++;
3137  }
3138  k--;
3139  pixels+=GetPixelChannels(image);
3140  }
3141  pixels+=(image->columns-1)*GetPixelChannels(image);
3142  }
3143  break;
3144  }
3146  {
3147  /*
3148  Compute th iterative distance from black edge of a white image
3149  shape. Essentually white values are decreased to the smallest
3150  'distance from edge' it can find.
3151 
3152  It works by adding kernel values to the neighbourhood, and and
3153  select the minimum value found. The kernel is rotated before
3154  use, so kernel distances match resulting distances, when a user
3155  provided asymmetric kernel is applied.
3156 
3157  This code is nearly identical to True GrayScale Morphology but
3158  not quite.
3159 
3160  GreyDilate Kernel values added, maximum value found Kernel is
3161  rotated before use.
3162 
3163  GrayErode: Kernel values subtracted and minimum value found No
3164  kernel rotation used.
3165 
3166  Note the the Iterative Distance method is essentially a
3167  GrayErode, but with negative kernel values, and kernel rotation
3168  applied.
3169  */
3170  k=(&kernel->values[kernel->width*kernel->height-1]);
3171  for (v=0; v < (ssize_t) kernel->height; v++)
3172  {
3173  for (u=0; u < (ssize_t) kernel->width; u++)
3174  {
3175  if (!IsNaN(*k))
3176  {
3177  if ((pixels[i]+(*k)) < pixel)
3178  pixel=(double) pixels[i]+(*k);
3179  count++;
3180  }
3181  k--;
3182  pixels+=GetPixelChannels(image);
3183  }
3184  pixels+=(image->columns-1)*GetPixelChannels(image);
3185  }
3186  break;
3187  }
3188  case UndefinedMorphology:
3189  default:
3190  break;
3191  }
3192  if (fabs(pixel-p[center+i]) > MagickEpsilon)
3193  changes[id]++;
3194  gamma=PerceptibleReciprocal(gamma);
3195  if (count != 0)
3196  gamma*=(double) kernel->height*kernel->width/count;
3197  SetPixelChannel(morphology_image,channel,ClampToQuantum(gamma*pixel),q);
3198  }
3199  p+=GetPixelChannels(image);
3200  q+=GetPixelChannels(morphology_image);
3201  }
3202  if (SyncCacheViewAuthenticPixels(morphology_view,exception) == MagickFalse)
3203  status=MagickFalse;
3204  if (image->progress_monitor != (MagickProgressMonitor) NULL)
3205  {
3207  proceed;
3208 
3209 #if defined(MAGICKCORE_OPENMP_SUPPORT)
3210  #pragma omp atomic
3211 #endif
3212  progress++;
3213  proceed=SetImageProgress(image,MorphologyTag,progress,image->rows);
3214  if (proceed == MagickFalse)
3215  status=MagickFalse;
3216  }
3217  }
3218  morphology_view=DestroyCacheView(morphology_view);
3219  image_view=DestroyCacheView(image_view);
3220  for (j=0; j < (ssize_t) GetOpenMPMaximumThreads(); j++)
3221  changed+=changes[j];
3222  changes=(size_t *) RelinquishMagickMemory(changes);
3223  return(status ? (ssize_t) changed : -1);
3224 }
3225 
3226 /*
3227  This is almost identical to the MorphologyPrimative() function above, but
3228  applies the primitive directly to the actual image using two passes, once in
3229  each direction, with the results of the previous (and current) row being
3230  re-used.
3231 
3232  That is after each row is 'Sync'ed' into the image, the next row makes use of
3233  those values as part of the calculation of the next row. It repeats, but
3234  going in the oppisite (bottom-up) direction.
3235 
3236  Because of this 're-use of results' this function can not make use of multi-
3237  threaded, parellel processing.
3238 */
3239 static ssize_t MorphologyPrimitiveDirect(Image *image,
3240  const MorphologyMethod method,const KernelInfo *kernel,
3241  ExceptionInfo *exception)
3242 {
3243  CacheView
3244  *morphology_view,
3245  *image_view;
3246 
3248  status;
3249 
3251  progress;
3252 
3253  OffsetInfo
3254  offset;
3255 
3256  size_t
3257  width,
3258  changed;
3259 
3260  ssize_t
3261  y;
3262 
3263  assert(image != (Image *) NULL);
3264  assert(image->signature == MagickCoreSignature);
3265  assert(kernel != (KernelInfo *) NULL);
3266  assert(kernel->signature == MagickCoreSignature);
3267  assert(exception != (ExceptionInfo *) NULL);
3268  assert(exception->signature == MagickCoreSignature);
3269  status=MagickTrue;
3270  changed=0;
3271  progress=0;
3272  switch(method)
3273  {
3274  case DistanceMorphology:
3275  case VoronoiMorphology:
3276  {
3277  /*
3278  Kernel reflected about origin.
3279  */
3280  offset.x=(ssize_t) kernel->width-kernel->x-1;
3281  offset.y=(ssize_t) kernel->height-kernel->y-1;
3282  break;
3283  }
3284  default:
3285  {
3286  offset.x=kernel->x;
3287  offset.y=kernel->y;
3288  break;
3289  }
3290  }
3291  /*
3292  Two views into same image, do not thread.
3293  */
3294  image_view=AcquireVirtualCacheView(image,exception);
3295  morphology_view=AcquireAuthenticCacheView(image,exception);
3296  width=image->columns+kernel->width-1;
3297  for (y=0; y < (ssize_t) image->rows; y++)
3298  {
3299  register const Quantum
3300  *magick_restrict p;
3301 
3302  register Quantum
3303  *magick_restrict q;
3304 
3305  register ssize_t
3306  x;
3307 
3308  /*
3309  Read virtual pixels, and authentic pixels, from the same image! We read
3310  using virtual to get virtual pixel handling, but write back into the same
3311  image.
3312 
3313  Only top half of kernel is processed as we do a single pass downward
3314  through the image iterating the distance function as we go.
3315  */
3316  if (status == MagickFalse)
3317  continue;
3318  p=GetCacheViewVirtualPixels(image_view,-offset.x,y-offset.y,width,(size_t)
3319  offset.y+1,exception);
3320  q=GetCacheViewAuthenticPixels(morphology_view,0,y,image->columns,1,
3321  exception);
3322  if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
3323  {
3324  status=MagickFalse;
3325  continue;
3326  }
3327  for (x=0; x < (ssize_t) image->columns; x++)
3328  {
3329  register ssize_t
3330  i;
3331 
3332  for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
3333  {
3334  double
3335  pixel;
3336 
3337  PixelChannel
3338  channel;
3339 
3340  PixelTrait
3341  traits;
3342 
3343  register const MagickRealType
3344  *magick_restrict k;
3345 
3346  register const Quantum
3347  *magick_restrict pixels;
3348 
3349  register ssize_t
3350  u;
3351 
3352  ssize_t
3353  v;
3354 
3355  channel=GetPixelChannelChannel(image,i);
3356  traits=GetPixelChannelTraits(image,channel);
3357  if (traits == UndefinedPixelTrait)
3358  continue;
3359  if ((traits & CopyPixelTrait) != 0)
3360  continue;
3361  pixels=p;
3362  pixel=(double) QuantumRange;
3363  switch (method)
3364  {
3365  case DistanceMorphology:
3366  {
3367  k=(&kernel->values[kernel->width*kernel->height-1]);
3368  for (v=0; v <= offset.y; v++)
3369  {
3370  for (u=0; u < (ssize_t) kernel->width; u++)
3371  {
3372  if (!IsNaN(*k))
3373  {
3374  if ((pixels[i]+(*k)) < pixel)
3375  pixel=(double) pixels[i]+(*k);
3376  }
3377  k--;
3378  pixels+=GetPixelChannels(image);
3379  }
3380  pixels+=(image->columns-1)*GetPixelChannels(image);
3381  }
3382  k=(&kernel->values[kernel->width*(kernel->y+1)-1]);
3383  pixels=q-offset.x*GetPixelChannels(image);
3384  for (u=0; u < offset.x; u++)
3385  {
3386  if (!IsNaN(*k) && ((x+u-offset.x) >= 0))
3387  {
3388  if ((pixels[i]+(*k)) < pixel)
3389  pixel=(double) pixels[i]+(*k);
3390  }
3391  k--;
3392  pixels+=GetPixelChannels(image);
3393  }
3394  break;
3395  }
3396  case VoronoiMorphology:
3397  {
3398  k=(&kernel->values[kernel->width*kernel->height-1]);
3399  for (v=0; v < offset.y; v++)
3400  {
3401  for (u=0; u < (ssize_t) kernel->width; u++)
3402  {
3403  if (!IsNaN(*k))
3404  {
3405  if ((pixels[i]+(*k)) < pixel)
3406  pixel=(double) pixels[i]+(*k);
3407  }
3408  k--;
3409  pixels+=GetPixelChannels(image);
3410  }
3411  pixels+=(image->columns-1)*GetPixelChannels(image);
3412  }
3413  k=(&kernel->values[kernel->width*(kernel->y+1)-1]);
3414  pixels=q-offset.x*GetPixelChannels(image);
3415  for (u=0; u < offset.x; u++)
3416  {
3417  if (!IsNaN(*k) && ((x+u-offset.x) >= 0))
3418  {
3419  if ((pixels[i]+(*k)) < pixel)
3420  pixel=(double) pixels[i]+(*k);
3421  }
3422  k--;
3423  pixels+=GetPixelChannels(image);
3424  }
3425  break;
3426  }
3427  default:
3428  break;
3429  }
3430  if (fabs(pixel-q[i]) > MagickEpsilon)
3431  changed++;
3432  q[i]=ClampToQuantum(pixel);
3433  }
3434  p+=GetPixelChannels(image);
3435  q+=GetPixelChannels(image);
3436  }
3437  if (SyncCacheViewAuthenticPixels(morphology_view,exception) == MagickFalse)
3438  status=MagickFalse;
3439  if (image->progress_monitor != (MagickProgressMonitor) NULL)
3440  {
3442  proceed;
3443 
3444 #if defined(MAGICKCORE_OPENMP_SUPPORT)
3445  #pragma omp atomic
3446 #endif
3447  progress++;
3448  proceed=SetImageProgress(image,MorphologyTag,progress,2*image->rows);
3449  if (proceed == MagickFalse)
3450  status=MagickFalse;
3451  }
3452  }
3453  morphology_view=DestroyCacheView(morphology_view);
3454  image_view=DestroyCacheView(image_view);
3455  /*
3456  Do the reverse pass through the image.
3457  */
3458  image_view=AcquireVirtualCacheView(image,exception);
3459  morphology_view=AcquireAuthenticCacheView(image,exception);
3460  for (y=(ssize_t) image->rows-1; y >= 0; y--)
3461  {
3462  register const Quantum
3463  *magick_restrict p;
3464 
3465  register Quantum
3466  *magick_restrict q;
3467 
3468  register ssize_t
3469  x;
3470 
3471  /*
3472  Read virtual pixels, and authentic pixels, from the same image. We
3473  read using virtual to get virtual pixel handling, but write back
3474  into the same image.
3475 
3476  Only the bottom half of the kernel is processed as we up the image.
3477  */
3478  if (status == MagickFalse)
3479  continue;
3480  p=GetCacheViewVirtualPixels(image_view,-offset.x,y,width,(size_t)
3481  kernel->y+1,exception);
3482  q=GetCacheViewAuthenticPixels(morphology_view,0,y,image->columns,1,
3483  exception);
3484  if ((p == (const Quantum *) NULL) || (q == (Quantum *) NULL))
3485  {
3486  status=MagickFalse;
3487  continue;
3488  }
3489  p+=(image->columns-1)*GetPixelChannels(image);
3490  q+=(image->columns-1)*GetPixelChannels(image);
3491  for (x=(ssize_t) image->columns-1; x >= 0; x--)
3492  {
3493  register ssize_t
3494  i;
3495 
3496  for (i=0; i < (ssize_t) GetPixelChannels(image); i++)
3497  {
3498  double
3499  pixel;
3500 
3501  PixelChannel
3502  channel;
3503 
3504  PixelTrait
3505  traits;
3506 
3507  register const MagickRealType
3508  *magick_restrict k;
3509 
3510  register const Quantum
3511  *magick_restrict pixels;
3512 
3513  register ssize_t
3514  u;
3515 
3516  ssize_t
3517  v;
3518 
3519  channel=GetPixelChannelChannel(image,i);
3520  traits=GetPixelChannelTraits(image,channel);
3521  if (traits == UndefinedPixelTrait)
3522  continue;
3523  if ((traits & CopyPixelTrait) != 0)
3524  continue;
3525  pixels=p;
3526  pixel=(double) QuantumRange;
3527  switch (method)
3528  {
3529  case DistanceMorphology:
3530  {
3531  k=(&kernel->values[kernel->width*(kernel->y+1)-1]);
3532  for (v=offset.y; v < (ssize_t) kernel->height; v++)
3533  {
3534  for (u=0; u < (ssize_t) kernel->width; u++)
3535  {
3536  if (!IsNaN(*k))
3537  {
3538  if ((pixels[i]+(*k)) < pixel)
3539  pixel=(double) pixels[i]+(*k);
3540  }
3541  k--;
3542  pixels+=GetPixelChannels(image);
3543  }
3544  pixels+=(image->columns-1)*GetPixelChannels(image);
3545  }
3546  k=(&kernel->values[kernel->width*kernel->y+kernel->x-1]);
3547  pixels=q;
3548  for (u=offset.x+1; u < (ssize_t) kernel->width; u++)
3549  {
3550  pixels+=GetPixelChannels(image);
3551  if (!IsNaN(*k) && ((x+u-offset.x) < (ssize_t) image->columns))
3552  {
3553  if ((pixels[i]+(*k)) < pixel)
3554  pixel=(double) pixels[i]+(*k);
3555  }
3556  k--;
3557  }
3558  break;
3559  }
3560  case VoronoiMorphology:
3561  {
3562  k=(&kernel->values[kernel->width*(kernel->y+1)-1]);
3563  for (v=offset.y; v < (ssize_t) kernel->height; v++)
3564  {
3565  for (u=0; u < (ssize_t) kernel->width; u++)
3566  {
3567  if (!IsNaN(*k))
3568  {
3569  if ((pixels[i]+(*k)) < pixel)
3570  pixel=(double) pixels[i]+(*k);
3571  }
3572  k--;
3573  pixels+=GetPixelChannels(image);
3574  }
3575  pixels+=(image->columns-1)*GetPixelChannels(image);
3576  }
3577  k=(&kernel->values[kernel->width*(kernel->y+1)-1]);
3578  pixels=q;
3579  for (u=offset.x+1; u < (ssize_t) kernel->width; u++)
3580  {
3581  pixels+=GetPixelChannels(image);
3582  if (!IsNaN(*k) && ((x+u-offset.x) < (ssize_t) image->columns))
3583  {
3584  if ((pixels[i]+(*k)) < pixel)
3585  pixel=(double) pixels[i]+(*k);
3586  }
3587  k--;
3588  }
3589  break;
3590  }
3591  default:
3592  break;
3593  }
3594  if (fabs(pixel-q[i]) > MagickEpsilon)
3595  changed++;
3596  q[i]=ClampToQuantum(pixel);
3597  }
3598  p-=GetPixelChannels(image);
3599  q-=GetPixelChannels(image);
3600  }
3601  if (SyncCacheViewAuthenticPixels(morphology_view,exception) == MagickFalse)
3602  status=MagickFalse;
3603  if (image->progress_monitor != (MagickProgressMonitor) NULL)
3604  {
3606  proceed;
3607 
3608 #if defined(MAGICKCORE_OPENMP_SUPPORT)
3609  #pragma omp atomic
3610 #endif
3611  progress++;
3612  proceed=SetImageProgress(image,MorphologyTag,progress,2*image->rows);
3613  if (proceed == MagickFalse)
3614  status=MagickFalse;
3615  }
3616  }
3617  morphology_view=DestroyCacheView(morphology_view);
3618  image_view=DestroyCacheView(image_view);
3619  return(status ? (ssize_t) changed : -1);
3620 }
3621 
3622 /*
3623  Apply a Morphology by calling one of the above low level primitive
3624  application functions. This function handles any iteration loops,
3625  composition or re-iteration of results, and compound morphology methods that
3626  is based on multiple low-level (staged) morphology methods.
3627 
3628  Basically this provides the complex glue between the requested morphology
3629  method and raw low-level implementation (above).
3630 */
3632  const MorphologyMethod method, const ssize_t iterations,
3633  const KernelInfo *kernel, const CompositeOperator compose,const double bias,
3634  ExceptionInfo *exception)
3635 {
3637  curr_compose;
3638 
3639  Image
3640  *curr_image, /* Image we are working with or iterating */
3641  *work_image, /* secondary image for primitive iteration */
3642  *save_image, /* saved image - for 'edge' method only */
3643  *rslt_image; /* resultant image - after multi-kernel handling */
3644 
3645  KernelInfo
3646  *reflected_kernel, /* A reflected copy of the kernel (if needed) */
3647  *norm_kernel, /* the current normal un-reflected kernel */
3648  *rflt_kernel, /* the current reflected kernel (if needed) */
3649  *this_kernel; /* the kernel being applied */
3650 
3652  primitive; /* the current morphology primitive being applied */
3653 
3655  rslt_compose; /* multi-kernel compose method for results to use */
3656 
3658  special, /* do we use a direct modify function? */
3659  verbose; /* verbose output of results */
3660 
3661  size_t
3662  method_loop, /* Loop 1: number of compound method iterations (norm 1) */
3663  method_limit, /* maximum number of compound method iterations */
3664  kernel_number, /* Loop 2: the kernel number being applied */
3665  stage_loop, /* Loop 3: primitive loop for compound morphology */
3666  stage_limit, /* how many primitives are in this compound */
3667  kernel_loop, /* Loop 4: iterate the kernel over image */
3668  kernel_limit, /* number of times to iterate kernel */
3669  count, /* total count of primitive steps applied */
3670  kernel_changed, /* total count of changed using iterated kernel */
3671  method_changed; /* total count of changed over method iteration */
3672 
3673  ssize_t
3674  changed; /* number pixels changed by last primitive operation */
3675 
3676  char
3677  v_info[MagickPathExtent];
3678 
3679  assert(image != (Image *) NULL);
3680  assert(image->signature == MagickCoreSignature);
3681  assert(kernel != (KernelInfo *) NULL);
3682  assert(kernel->signature == MagickCoreSignature);
3683  assert(exception != (ExceptionInfo *) NULL);
3684  assert(exception->signature == MagickCoreSignature);
3685 
3686  count = 0; /* number of low-level morphology primitives performed */
3687  if ( iterations == 0 )
3688  return((Image *) NULL); /* null operation - nothing to do! */
3689 
3690  kernel_limit = (size_t) iterations;
3691  if ( iterations < 0 ) /* negative interations = infinite (well alomst) */
3692  kernel_limit = image->columns>image->rows ? image->columns : image->rows;
3693 
3694  verbose = IsStringTrue(GetImageArtifact(image,"debug"));
3695 
3696  /* initialise for cleanup */
3697  curr_image = (Image *) image;
3698  curr_compose = image->compose;
3699  (void) curr_compose;
3700  work_image = save_image = rslt_image = (Image *) NULL;
3701  reflected_kernel = (KernelInfo *) NULL;
3702 
3703  /* Initialize specific methods
3704  * + which loop should use the given iteratations
3705  * + how many primitives make up the compound morphology
3706  * + multi-kernel compose method to use (by default)
3707  */
3708  method_limit = 1; /* just do method once, unless otherwise set */
3709  stage_limit = 1; /* assume method is not a compound */
3710  special = MagickFalse; /* assume it is NOT a direct modify primitive */
3711  rslt_compose = compose; /* and we are composing multi-kernels as given */
3712  switch( method ) {
3713  case SmoothMorphology: /* 4 primitive compound morphology */
3714  stage_limit = 4;
3715  break;
3716  case OpenMorphology: /* 2 primitive compound morphology */
3718  case TopHatMorphology:
3719  case CloseMorphology:
3721  case BottomHatMorphology:
3722  case EdgeMorphology:
3723  stage_limit = 2;
3724  break;
3725  case HitAndMissMorphology:
3726  rslt_compose = LightenCompositeOp; /* Union of multi-kernel results */
3727  /* FALL THUR */
3728  case ThinningMorphology:
3729  case ThickenMorphology:
3730  method_limit = kernel_limit; /* iterate the whole method */
3731  kernel_limit = 1; /* do not do kernel iteration */
3732  break;
3733  case DistanceMorphology:
3734  case VoronoiMorphology:
3735  special = MagickTrue; /* use special direct primative */
3736  break;
3737  default:
3738  break;
3739  }
3740 
3741  /* Apply special methods with special requirments
3742  ** For example, single run only, or post-processing requirements
3743  */
3744  if ( special != MagickFalse )
3745  {
3746  rslt_image=CloneImage(image,0,0,MagickTrue,exception);
3747  if (rslt_image == (Image *) NULL)
3748  goto error_cleanup;
3749  if (SetImageStorageClass(rslt_image,DirectClass,exception) == MagickFalse)
3750  goto error_cleanup;
3751 
3752  changed=MorphologyPrimitiveDirect(rslt_image,method,kernel,exception);
3753 
3754  if (verbose != MagickFalse)
3755  (void) (void) FormatLocaleFile(stderr,
3756  "%s:%.20g.%.20g #%.20g => Changed %.20g\n",
3758  1.0,0.0,1.0, (double) changed);
3759 
3760  if ( changed < 0 )
3761  goto error_cleanup;
3762 
3763  if ( method == VoronoiMorphology ) {
3764  /* Preserve the alpha channel of input image - but turned it off */
3765  (void) SetImageAlphaChannel(rslt_image, DeactivateAlphaChannel,
3766  exception);
3767  (void) CompositeImage(rslt_image,image,CopyAlphaCompositeOp,
3768  MagickTrue,0,0,exception);
3769  (void) SetImageAlphaChannel(rslt_image, DeactivateAlphaChannel,
3770  exception);
3771  }
3772  goto exit_cleanup;
3773  }
3774 
3775  /* Handle user (caller) specified multi-kernel composition method */
3776  if ( compose != UndefinedCompositeOp )
3777  rslt_compose = compose; /* override default composition for method */
3778  if ( rslt_compose == UndefinedCompositeOp )
3779  rslt_compose = NoCompositeOp; /* still not defined! Then re-iterate */
3780 
3781  /* Some methods require a reflected kernel to use with primitives.
3782  * Create the reflected kernel for those methods. */
3783  switch ( method ) {
3784  case CorrelateMorphology:
3785  case CloseMorphology:
3787  case BottomHatMorphology:
3788  case SmoothMorphology:
3789  reflected_kernel = CloneKernelInfo(kernel);
3790  if (reflected_kernel == (KernelInfo *) NULL)
3791  goto error_cleanup;
3792  RotateKernelInfo(reflected_kernel,180);
3793  break;
3794  default:
3795  break;
3796  }
3797 
3798  /* Loops around more primitive morpholgy methods
3799  ** erose, dilate, open, close, smooth, edge, etc...
3800  */
3801  /* Loop 1: iterate the compound method */
3802  method_loop = 0;
3803  method_changed = 1;
3804  while ( method_loop < method_limit && method_changed > 0 ) {
3805  method_loop++;
3806  method_changed = 0;
3807 
3808  /* Loop 2: iterate over each kernel in a multi-kernel list */
3809  norm_kernel = (KernelInfo *) kernel;
3810  this_kernel = (KernelInfo *) kernel;
3811  rflt_kernel = reflected_kernel;
3812 
3813  kernel_number = 0;
3814  while ( norm_kernel != NULL ) {
3815 
3816  /* Loop 3: Compound Morphology Staging - Select Primative to apply */
3817  stage_loop = 0; /* the compound morphology stage number */
3818  while ( stage_loop < stage_limit ) {
3819  stage_loop++; /* The stage of the compound morphology */
3820 
3821  /* Select primitive morphology for this stage of compound method */
3822  this_kernel = norm_kernel; /* default use unreflected kernel */
3823  primitive = method; /* Assume method is a primitive */
3824  switch( method ) {
3825  case ErodeMorphology: /* just erode */
3826  case EdgeInMorphology: /* erode and image difference */
3827  primitive = ErodeMorphology;
3828  break;
3829  case DilateMorphology: /* just dilate */
3830  case EdgeOutMorphology: /* dilate and image difference */
3831  primitive = DilateMorphology;
3832  break;
3833  case OpenMorphology: /* erode then dialate */
3834  case TopHatMorphology: /* open and image difference */
3835  primitive = ErodeMorphology;
3836  if ( stage_loop == 2 )
3837  primitive = DilateMorphology;
3838  break;
3840  primitive = ErodeIntensityMorphology;
3841  if ( stage_loop == 2 )
3842  primitive = DilateIntensityMorphology;
3843  break;
3844  case CloseMorphology: /* dilate, then erode */
3845  case BottomHatMorphology: /* close and image difference */
3846  this_kernel = rflt_kernel; /* use the reflected kernel */
3847  primitive = DilateMorphology;
3848  if ( stage_loop == 2 )
3849  primitive = ErodeMorphology;
3850  break;
3852  this_kernel = rflt_kernel; /* use the reflected kernel */
3853  primitive = DilateIntensityMorphology;
3854  if ( stage_loop == 2 )
3855  primitive = ErodeIntensityMorphology;
3856  break;
3857  case SmoothMorphology: /* open, close */
3858  switch ( stage_loop ) {
3859  case 1: /* start an open method, which starts with Erode */
3860  primitive = ErodeMorphology;
3861  break;
3862  case 2: /* now Dilate the Erode */
3863  primitive = DilateMorphology;
3864  break;
3865  case 3: /* Reflect kernel a close */
3866  this_kernel = rflt_kernel; /* use the reflected kernel */
3867  primitive = DilateMorphology;
3868  break;
3869  case 4: /* Finish the Close */
3870  this_kernel = rflt_kernel; /* use the reflected kernel */
3871  primitive = ErodeMorphology;
3872  break;
3873  }
3874  break;
3875  case EdgeMorphology: /* dilate and erode difference */
3876  primitive = DilateMorphology;
3877  if ( stage_loop == 2 ) {
3878  save_image = curr_image; /* save the image difference */
3879  curr_image = (Image *) image;
3880  primitive = ErodeMorphology;
3881  }
3882  break;
3883  case CorrelateMorphology:
3884  /* A Correlation is a Convolution with a reflected kernel.
3885  ** However a Convolution is a weighted sum using a reflected
3886  ** kernel. It may seem stange to convert a Correlation into a
3887  ** Convolution as the Correlation is the simplier method, but
3888  ** Convolution is much more commonly used, and it makes sense to
3889  ** implement it directly so as to avoid the need to duplicate the
3890  ** kernel when it is not required (which is typically the
3891  ** default).
3892  */
3893  this_kernel = rflt_kernel; /* use the reflected kernel */
3894  primitive = ConvolveMorphology;
3895  break;
3896  default:
3897  break;
3898  }
3899  assert( this_kernel != (KernelInfo *) NULL );
3900 
3901  /* Extra information for debugging compound operations */
3902  if (verbose != MagickFalse) {
3903  if ( stage_limit > 1 )
3904  (void) FormatLocaleString(v_info,MagickPathExtent,"%s:%.20g.%.20g -> ",
3906  method_loop,(double) stage_loop);
3907  else if ( primitive != method )
3908  (void) FormatLocaleString(v_info, MagickPathExtent, "%s:%.20g -> ",
3910  method_loop);
3911  else
3912  v_info[0] = '\0';
3913  }
3914 
3915  /* Loop 4: Iterate the kernel with primitive */
3916  kernel_loop = 0;
3917  kernel_changed = 0;
3918  changed = 1;
3919  while ( kernel_loop < kernel_limit && changed > 0 ) {
3920  kernel_loop++; /* the iteration of this kernel */
3921 
3922  /* Create a clone as the destination image, if not yet defined */
3923  if ( work_image == (Image *) NULL )
3924  {
3925  work_image=CloneImage(image,0,0,MagickTrue,exception);
3926  if (work_image == (Image *) NULL)
3927  goto error_cleanup;
3928  if (SetImageStorageClass(work_image,DirectClass,exception) == MagickFalse)
3929  goto error_cleanup;
3930  }
3931 
3932  /* APPLY THE MORPHOLOGICAL PRIMITIVE (curr -> work) */
3933  count++;
3934  changed = MorphologyPrimitive(curr_image, work_image, primitive,
3935  this_kernel, bias, exception);
3936  if (verbose != MagickFalse) {
3937  if ( kernel_loop > 1 )
3938  (void) FormatLocaleFile(stderr, "\n"); /* add end-of-line from previous */
3939  (void) (void) FormatLocaleFile(stderr,
3940  "%s%s%s:%.20g.%.20g #%.20g => Changed %.20g",
3942  primitive),(this_kernel == rflt_kernel ) ? "*" : "",
3943  (double) (method_loop+kernel_loop-1),(double) kernel_number,
3944  (double) count,(double) changed);
3945  }
3946  if ( changed < 0 )
3947  goto error_cleanup;
3948  kernel_changed += changed;
3949  method_changed += changed;
3950 
3951  /* prepare next loop */
3952  { Image *tmp = work_image; /* swap images for iteration */
3953  work_image = curr_image;
3954  curr_image = tmp;
3955  }
3956  if ( work_image == image )
3957  work_image = (Image *) NULL; /* replace input 'image' */
3958 
3959  } /* End Loop 4: Iterate the kernel with primitive */
3960 
3961  if (verbose != MagickFalse && kernel_changed != (size_t)changed)
3962  (void) FormatLocaleFile(stderr, " Total %.20g",(double) kernel_changed);
3963  if (verbose != MagickFalse && stage_loop < stage_limit)
3964  (void) FormatLocaleFile(stderr, "\n"); /* add end-of-line before looping */
3965 
3966 #if 0
3967  (void) FormatLocaleFile(stderr, "--E-- image=0x%lx\n", (unsigned long)image);
3968  (void) FormatLocaleFile(stderr, " curr =0x%lx\n", (unsigned long)curr_image);
3969  (void) FormatLocaleFile(stderr, " work =0x%lx\n", (unsigned long)work_image);
3970  (void) FormatLocaleFile(stderr, " save =0x%lx\n", (unsigned long)save_image);
3971  (void) FormatLocaleFile(stderr, " union=0x%lx\n", (unsigned long)rslt_image);
3972 #endif
3973 
3974  } /* End Loop 3: Primative (staging) Loop for Coumpound Methods */
3975 
3976  /* Final Post-processing for some Compound Methods
3977  **
3978  ** The removal of any 'Sync' channel flag in the Image Compositon
3979  ** below ensures the methematical compose method is applied in a
3980  ** purely mathematical way, and only to the selected channels.
3981  ** Turn off SVG composition 'alpha blending'.
3982  */
3983  switch( method ) {
3984  case EdgeOutMorphology:
3985  case EdgeInMorphology:
3986  case TopHatMorphology:
3987  case BottomHatMorphology:
3988  if (verbose != MagickFalse)
3989  (void) FormatLocaleFile(stderr,
3990  "\n%s: Difference with original image",CommandOptionToMnemonic(
3991  MagickMorphologyOptions, method) );
3992  (void) CompositeImage(curr_image,image,DifferenceCompositeOp,
3993  MagickTrue,0,0,exception);
3994  break;
3995  case EdgeMorphology:
3996  if (verbose != MagickFalse)
3997  (void) FormatLocaleFile(stderr,
3998  "\n%s: Difference of Dilate and Erode",CommandOptionToMnemonic(
3999  MagickMorphologyOptions, method) );
4000  (void) CompositeImage(curr_image,save_image,DifferenceCompositeOp,
4001  MagickTrue,0,0,exception);
4002  save_image = DestroyImage(save_image); /* finished with save image */
4003  break;
4004  default:
4005  break;
4006  }
4007 
4008  /* multi-kernel handling: re-iterate, or compose results */
4009  if ( kernel->next == (KernelInfo *) NULL )
4010  rslt_image = curr_image; /* just return the resulting image */
4011  else if ( rslt_compose == NoCompositeOp )
4012  { if (verbose != MagickFalse) {
4013  if ( this_kernel->next != (KernelInfo *) NULL )
4014  (void) FormatLocaleFile(stderr, " (re-iterate)");
4015  else
4016  (void) FormatLocaleFile(stderr, " (done)");
4017  }
4018  rslt_image = curr_image; /* return result, and re-iterate */
4019  }
4020  else if ( rslt_image == (Image *) NULL)
4021  { if (verbose != MagickFalse)
4022  (void) FormatLocaleFile(stderr, " (save for compose)");
4023  rslt_image = curr_image;
4024  curr_image = (Image *) image; /* continue with original image */
4025  }
4026  else
4027  { /* Add the new 'current' result to the composition
4028  **
4029  ** The removal of any 'Sync' channel flag in the Image Compositon
4030  ** below ensures the methematical compose method is applied in a
4031  ** purely mathematical way, and only to the selected channels.
4032  ** IE: Turn off SVG composition 'alpha blending'.
4033  */
4034  if (verbose != MagickFalse)
4035  (void) FormatLocaleFile(stderr, " (compose \"%s\")",
4037  (void) CompositeImage(rslt_image,curr_image,rslt_compose,MagickTrue,
4038  0,0,exception);
4039  curr_image = DestroyImage(curr_image);
4040  curr_image = (Image *) image; /* continue with original image */
4041  }
4042  if (verbose != MagickFalse)
4043  (void) FormatLocaleFile(stderr, "\n");
4044 
4045  /* loop to the next kernel in a multi-kernel list */
4046  norm_kernel = norm_kernel->next;
4047  if ( rflt_kernel != (KernelInfo *) NULL )
4048  rflt_kernel = rflt_kernel->next;
4049  kernel_number++;
4050  } /* End Loop 2: Loop over each kernel */
4051 
4052  } /* End Loop 1: compound method interation */
4053 
4054  goto exit_cleanup;
4055 
4056  /* Yes goto's are bad, but it makes cleanup lot more efficient */
4057 error_cleanup:
4058  if ( curr_image == rslt_image )
4059  curr_image = (Image *) NULL;
4060  if ( rslt_image != (Image *) NULL )
4061  rslt_image = DestroyImage(rslt_image);
4062 exit_cleanup:
4063  if ( curr_image == rslt_image || curr_image == image )
4064  curr_image = (Image *) NULL;
4065  if ( curr_image != (Image *) NULL )
4066  curr_image = DestroyImage(curr_image);
4067  if ( work_image != (Image *) NULL )
4068  work_image = DestroyImage(work_image);
4069  if ( save_image != (Image *) NULL )
4070  save_image = DestroyImage(save_image);
4071  if ( reflected_kernel != (KernelInfo *) NULL )
4072  reflected_kernel = DestroyKernelInfo(reflected_kernel);
4073  return(rslt_image);
4074 }
4075 
4076 
4077 /*
4078 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4079 % %
4080 % %
4081 % %
4082 % M o r p h o l o g y I m a g e %
4083 % %
4084 % %
4085 % %
4086 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4087 %
4088 % MorphologyImage() applies a user supplied kernel to the image according to
4089 % the given mophology method.
4090 %
4091 % This function applies any and all user defined settings before calling
4092 % the above internal function MorphologyApply().
4093 %
4094 % User defined settings include...
4095 % * Output Bias for Convolution and correlation ("-define convolve:bias=??")
4096 % * Kernel Scale/normalize settings ("-define convolve:scale=??")
4097 % This can also includes the addition of a scaled unity kernel.
4098 % * Show Kernel being applied ("-define morphology:showKernel=1")
4099 %
4100 % Other operators that do not want user supplied options interfering,
4101 % especially "convolve:bias" and "morphology:showKernel" should use
4102 % MorphologyApply() directly.
4103 %
4104 % The format of the MorphologyImage method is:
4105 %
4106 % Image *MorphologyImage(const Image *image,MorphologyMethod method,
4107 % const ssize_t iterations,KernelInfo *kernel,ExceptionInfo *exception)
4108 %
4109 % A description of each parameter follows:
4110 %
4111 % o image: the image.
4112 %
4113 % o method: the morphology method to be applied.
4114 %
4115 % o iterations: apply the operation this many times (or no change).
4116 % A value of -1 means loop until no change found.
4117 % How this is applied may depend on the morphology method.
4118 % Typically this is a value of 1.
4119 %
4120 % o kernel: An array of double representing the morphology kernel.
4121 % Warning: kernel may be normalized for the Convolve method.
4122 %
4123 % o exception: return any errors or warnings in this structure.
4124 %
4125 */
4127  const MorphologyMethod method,const ssize_t iterations,
4128  const KernelInfo *kernel,ExceptionInfo *exception)
4129 {
4130  const char
4131  *artifact;
4132 
4134  compose;
4135 
4136  double
4137  bias;
4138 
4139  Image
4140  *morphology_image;
4141 
4142  KernelInfo
4143  *curr_kernel;
4144 
4145  curr_kernel = (KernelInfo *) kernel;
4146  bias=0.0;
4147  compose = UndefinedCompositeOp; /* use default for method */
4148 
4149  /* Apply Convolve/Correlate Normalization and Scaling Factors.
4150  * This is done BEFORE the ShowKernelInfo() function is called so that
4151  * users can see the results of the 'option:convolve:scale' option.
4152  */
4153  if ( method == ConvolveMorphology || method == CorrelateMorphology ) {
4154  /* Get the bias value as it will be needed */
4155  artifact = GetImageArtifact(image,"convolve:bias");
4156  if ( artifact != (const char *) NULL) {
4157  if (IsGeometry(artifact) == MagickFalse)
4158  (void) ThrowMagickException(exception,GetMagickModule(),
4159  OptionWarning,"InvalidSetting","'%s' '%s'",
4160  "convolve:bias",artifact);
4161  else
4162  bias=StringToDoubleInterval(artifact,(double) QuantumRange+1.0);
4163  }
4164 
4165  /* Scale kernel according to user wishes */
4166  artifact = GetImageArtifact(image,"convolve:scale");
4167  if ( artifact != (const char *) NULL ) {
4168  if (IsGeometry(artifact) == MagickFalse)
4169  (void) ThrowMagickException(exception,GetMagickModule(),
4170  OptionWarning,"InvalidSetting","'%s' '%s'",
4171  "convolve:scale",artifact);
4172  else {
4173  if ( curr_kernel == kernel )
4174  curr_kernel = CloneKernelInfo(kernel);
4175  if (curr_kernel == (KernelInfo *) NULL)
4176  return((Image *) NULL);
4177  ScaleGeometryKernelInfo(curr_kernel, artifact);
4178  }
4179  }
4180  }
4181 
4182  /* display the (normalized) kernel via stderr */
4183  artifact=GetImageArtifact(image,"morphology:showKernel");
4184  if (IsStringTrue(artifact) != MagickFalse)
4185  ShowKernelInfo(curr_kernel);
4186 
4187  /* Override the default handling of multi-kernel morphology results
4188  * If 'Undefined' use the default method
4189  * If 'None' (default for 'Convolve') re-iterate previous result
4190  * Otherwise merge resulting images using compose method given.
4191  * Default for 'HitAndMiss' is 'Lighten'.
4192  */
4193  {
4194  ssize_t
4195  parse;
4196 
4197  artifact = GetImageArtifact(image,"morphology:compose");
4198  if ( artifact != (const char *) NULL) {
4200  MagickFalse,artifact);
4201  if ( parse < 0 )
4202  (void) ThrowMagickException(exception,GetMagickModule(),
4203  OptionWarning,"UnrecognizedComposeOperator","'%s' '%s'",
4204  "morphology:compose",artifact);
4205  else
4206  compose=(CompositeOperator)parse;
4207  }
4208  }
4209  /* Apply the Morphology */
4210  morphology_image = MorphologyApply(image,method,iterations,
4211  curr_kernel,compose,bias,exception);
4212 
4213  /* Cleanup and Exit */
4214  if ( curr_kernel != kernel )
4215  curr_kernel=DestroyKernelInfo(curr_kernel);
4216  return(morphology_image);
4217 }
4218 
4219 /*
4220 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4221 % %
4222 % %
4223 % %
4224 + R o t a t e K e r n e l I n f o %
4225 % %
4226 % %
4227 % %
4228 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4229 %
4230 % RotateKernelInfo() rotates the kernel by the angle given.
4231 %
4232 % Currently it is restricted to 90 degree angles, of either 1D kernels
4233 % or square kernels. And 'circular' rotations of 45 degrees for 3x3 kernels.
4234 % It will ignore usless rotations for specific 'named' built-in kernels.
4235 %
4236 % The format of the RotateKernelInfo method is:
4237 %
4238 % void RotateKernelInfo(KernelInfo *kernel, double angle)
4239 %
4240 % A description of each parameter follows:
4241 %
4242 % o kernel: the Morphology/Convolution kernel
4243 %
4244 % o angle: angle to rotate in degrees
4245 %
4246 % This function is currently internal to this module only, but can be exported
4247 % to other modules if needed.
4248 */
4249 static void RotateKernelInfo(KernelInfo *kernel, double angle)
4250 {
4251  /* angle the lower kernels first */
4252  if ( kernel->next != (KernelInfo *) NULL)
4253  RotateKernelInfo(kernel->next, angle);
4254 
4255  /* WARNING: Currently assumes the kernel (rightly) is horizontally symetrical
4256  **
4257  ** TODO: expand beyond simple 90 degree rotates, flips and flops
4258  */
4259 
4260  /* Modulus the angle */
4261  angle = fmod(angle, 360.0);
4262  if ( angle < 0 )
4263  angle += 360.0;
4264 
4265  if ( 337.5 < angle || angle <= 22.5 )
4266  return; /* Near zero angle - no change! - At least not at this time */
4267 
4268  /* Handle special cases */
4269  switch (kernel->type) {
4270  /* These built-in kernels are cylindrical kernels, rotating is useless */
4271  case GaussianKernel:
4272  case DoGKernel:
4273  case LoGKernel:
4274  case DiskKernel:
4275  case PeaksKernel:
4276  case LaplacianKernel:
4277  case ChebyshevKernel:
4278  case ManhattanKernel:
4279  case EuclideanKernel:
4280  return;
4281 
4282  /* These may be rotatable at non-90 angles in the future */
4283  /* but simply rotating them in multiples of 90 degrees is useless */
4284  case SquareKernel:
4285  case DiamondKernel:
4286  case PlusKernel:
4287  case CrossKernel:
4288  return;
4289 
4290  /* These only allows a +/-90 degree rotation (by transpose) */
4291  /* A 180 degree rotation is useless */
4292  case BlurKernel:
4293  if ( 135.0 < angle && angle <= 225.0 )
4294  return;
4295  if ( 225.0 < angle && angle <= 315.0 )
4296  angle -= 180;
4297  break;
4298 
4299  default:
4300  break;
4301  }
4302  /* Attempt rotations by 45 degrees -- 3x3 kernels only */
4303  if ( 22.5 < fmod(angle,90.0) && fmod(angle,90.0) <= 67.5 )
4304  {
4305  if ( kernel->width == 3 && kernel->height == 3 )
4306  { /* Rotate a 3x3 square by 45 degree angle */
4307  double t = kernel->values[0];
4308  kernel->values[0] = kernel->values[3];
4309  kernel->values[3] = kernel->values[6];
4310  kernel->values[6] = kernel->values[7];
4311  kernel->values[7] = kernel->values[8];
4312  kernel->values[8] = kernel->values[5];
4313  kernel->values[5] = kernel->values[2];
4314  kernel->values[2] = kernel->values[1];
4315  kernel->values[1] = t;
4316  /* rotate non-centered origin */
4317  if ( kernel->x != 1 || kernel->y != 1 ) {
4318  ssize_t x,y;
4319  x = (ssize_t) kernel->x-1;
4320  y = (ssize_t) kernel->y-1;
4321  if ( x == y ) x = 0;
4322  else if ( x == 0 ) x = -y;
4323  else if ( x == -y ) y = 0;
4324  else if ( y == 0 ) y = x;
4325  kernel->x = (ssize_t) x+1;
4326  kernel->y = (ssize_t) y+1;
4327  }
4328  angle = fmod(angle+315.0, 360.0); /* angle reduced 45 degrees */
4329  kernel->angle = fmod(kernel->angle+45.0, 360.0);
4330  }
4331  else
4332  perror("Unable to rotate non-3x3 kernel by 45 degrees");
4333  }
4334  if ( 45.0 < fmod(angle, 180.0) && fmod(angle,180.0) <= 135.0 )
4335  {
4336  if ( kernel->width == 1 || kernel->height == 1 )
4337  { /* Do a transpose of a 1 dimensional kernel,
4338  ** which results in a fast 90 degree rotation of some type.
4339  */
4340  ssize_t
4341  t;
4342  t = (ssize_t) kernel->width;
4343  kernel->width = kernel->height;
4344  kernel->height = (size_t) t;
4345  t = kernel->x;
4346  kernel->x = kernel->y;
4347  kernel->y = t;
4348  if ( kernel->width == 1 ) {
4349  angle = fmod(angle+270.0, 360.0); /* angle reduced 90 degrees */
4350  kernel->angle = fmod(kernel->angle+90.0, 360.0);
4351  } else {
4352  angle = fmod(angle+90.0, 360.0); /* angle increased 90 degrees */
4353  kernel->angle = fmod(kernel->angle+270.0, 360.0);
4354  }
4355  }
4356  else if ( kernel->width == kernel->height )
4357  { /* Rotate a square array of values by 90 degrees */
4358  { register ssize_t
4359  i,j,x,y;
4360 
4361  register MagickRealType
4362  *k,t;
4363 
4364  k=kernel->values;
4365  for( i=0, x=(ssize_t) kernel->width-1; i<=x; i++, x--)
4366  for( j=0, y=(ssize_t) kernel->height-1; j<y; j++, y--)
4367  { t = k[i+j*kernel->width];
4368  k[i+j*kernel->width] = k[j+x*kernel->width];
4369  k[j+x*kernel->width] = k[x+y*kernel->width];
4370  k[x+y*kernel->width] = k[y+i*kernel->width];
4371  k[y+i*kernel->width] = t;
4372  }
4373  }
4374  /* rotate the origin - relative to center of array */
4375  { register ssize_t x,y;
4376  x = (ssize_t) (kernel->x*2-kernel->width+1);
4377  y = (ssize_t) (kernel->y*2-kernel->height+1);
4378  kernel->x = (ssize_t) ( -y +(ssize_t) kernel->width-1)/2;
4379  kernel->y = (ssize_t) ( +x +(ssize_t) kernel->height-1)/2;
4380  }
4381  angle = fmod(angle+270.0, 360.0); /* angle reduced 90 degrees */
4382  kernel->angle = fmod(kernel->angle+90.0, 360.0);
4383  }
4384  else
4385  perror("Unable to rotate a non-square, non-linear kernel 90 degrees");
4386  }
4387  if ( 135.0 < angle && angle <= 225.0 )
4388  {
4389  /* For a 180 degree rotation - also know as a reflection
4390  * This is actually a very very common operation!
4391  * Basically all that is needed is a reversal of the kernel data!
4392  * And a reflection of the origon
4393  */
4395  t;
4396 
4397  register MagickRealType
4398  *k;
4399 
4400  ssize_t
4401  i,
4402  j;
4403 
4404  k=kernel->values;
4405  j=(ssize_t) (kernel->width*kernel->height-1);
4406  for (i=0; i < j; i++, j--)
4407  t=k[i], k[i]=k[j], k[j]=t;
4408 
4409  kernel->x = (ssize_t) kernel->width - kernel->x - 1;
4410  kernel->y = (ssize_t) kernel->height - kernel->y - 1;
4411  angle = fmod(angle-180.0, 360.0); /* angle+180 degrees */
4412  kernel->angle = fmod(kernel->angle+180.0, 360.0);
4413  }
4414  /* At this point angle should at least between -45 (315) and +45 degrees
4415  * In the future some form of non-orthogonal angled rotates could be
4416  * performed here, posibily with a linear kernel restriction.
4417  */
4418 
4419  return;
4420 }
4421 
4422 /*
4423 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4424 % %
4425 % %
4426 % %
4427 % S c a l e G e o m e t r y K e r n e l I n f o %
4428 % %
4429 % %
4430 % %
4431 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4432 %
4433 % ScaleGeometryKernelInfo() takes a geometry argument string, typically
4434 % provided as a "-set option:convolve:scale {geometry}" user setting,
4435 % and modifies the kernel according to the parsed arguments of that setting.
4436 %
4437 % The first argument (and any normalization flags) are passed to
4438 % ScaleKernelInfo() to scale/normalize the kernel. The second argument
4439 % is then passed to UnityAddKernelInfo() to add a scled unity kernel
4440 % into the scaled/normalized kernel.
4441 %
4442 % The format of the ScaleGeometryKernelInfo method is:
4443 %
4444 % void ScaleGeometryKernelInfo(KernelInfo *kernel,
4445 % const double scaling_factor,const MagickStatusType normalize_flags)
4446 %
4447 % A description of each parameter follows:
4448 %
4449 % o kernel: the Morphology/Convolution kernel to modify
4450 %
4451 % o geometry:
4452 % The geometry string to parse, typically from the user provided
4453 % "-set option:convolve:scale {geometry}" setting.
4454 %
4455 */
4457  const char *geometry)
4458 {
4460  flags;
4461 
4462  GeometryInfo
4463  args;
4464 
4465  SetGeometryInfo(&args);
4466  flags = ParseGeometry(geometry, &args);
4467 
4468 #if 0
4469  /* For Debugging Geometry Input */
4470  (void) FormatLocaleFile(stderr, "Geometry = 0x%04X : %lg x %lg %+lg %+lg\n",
4471  flags, args.rho, args.sigma, args.xi, args.psi );
4472 #endif
4473 
4474  if ( (flags & PercentValue) != 0 ) /* Handle Percentage flag*/
4475  args.rho *= 0.01, args.sigma *= 0.01;
4476 
4477  if ( (flags & RhoValue) == 0 ) /* Set Defaults for missing args */
4478  args.rho = 1.0;
4479  if ( (flags & SigmaValue) == 0 )
4480  args.sigma = 0.0;
4481 
4482  /* Scale/Normalize the input kernel */
4483  ScaleKernelInfo(kernel, args.rho, (GeometryFlags) flags);
4484 
4485  /* Add Unity Kernel, for blending with original */
4486  if ( (flags & SigmaValue) != 0 )
4487  UnityAddKernelInfo(kernel, args.sigma);
4488 
4489  return;
4490 }
4491 /*
4492 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4493 % %
4494 % %
4495 % %
4496 % S c a l e K e r n e l I n f o %
4497 % %
4498 % %
4499 % %
4500 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4501 %
4502 % ScaleKernelInfo() scales the given kernel list by the given amount, with or
4503 % without normalization of the sum of the kernel values (as per given flags).
4504 %
4505 % By default (no flags given) the values within the kernel is scaled
4506 % directly using given scaling factor without change.
4507 %
4508 % If either of the two 'normalize_flags' are given the kernel will first be
4509 % normalized and then further scaled by the scaling factor value given.
4510 %
4511 % Kernel normalization ('normalize_flags' given) is designed to ensure that
4512 % any use of the kernel scaling factor with 'Convolve' or 'Correlate'
4513 % morphology methods will fall into -1.0 to +1.0 range. Note that for
4514 % non-HDRI versions of IM this may cause images to have any negative results
4515 % clipped, unless some 'bias' is used.
4516 %
4517 % More specifically. Kernels which only contain positive values (such as a
4518 % 'Gaussian' kernel) will be scaled so that those values sum to +1.0,
4519 % ensuring a 0.0 to +1.0 output range for non-HDRI images.
4520 %
4521 % For Kernels that contain some negative values, (such as 'Sharpen' kernels)
4522 % the kernel will be scaled by the absolute of the sum of kernel values, so
4523 % that it will generally fall within the +/- 1.0 range.
4524 %
4525 % For kernels whose values sum to zero, (such as 'Laplician' kernels) kernel
4526 % will be scaled by just the sum of the postive values, so that its output
4527 % range will again fall into the +/- 1.0 range.
4528 %
4529 % For special kernels designed for locating shapes using 'Correlate', (often
4530 % only containing +1 and -1 values, representing foreground/brackground
4531 % matching) a special normalization method is provided to scale the positive
4532 % values separately to those of the negative values, so the kernel will be
4533 % forced to become a zero-sum kernel better suited to such searches.
4534 %
4535 % WARNING: Correct normalization of the kernel assumes that the '*_range'
4536 % attributes within the kernel structure have been correctly set during the
4537 % kernels creation.
4538 %
4539 % NOTE: The values used for 'normalize_flags' have been selected specifically
4540 % to match the use of geometry options, so that '!' means NormalizeValue, '^'
4541 % means CorrelateNormalizeValue. All other GeometryFlags values are ignored.
4542 %
4543 % The format of the ScaleKernelInfo method is:
4544 %
4545 % void ScaleKernelInfo(KernelInfo *kernel, const double scaling_factor,
4546 % const MagickStatusType normalize_flags )
4547 %
4548 % A description of each parameter follows:
4549 %
4550 % o kernel: the Morphology/Convolution kernel
4551 %
4552 % o scaling_factor:
4553 % multiply all values (after normalization) by this factor if not
4554 % zero. If the kernel is normalized regardless of any flags.
4555 %
4556 % o normalize_flags:
4557 % GeometryFlags defining normalization method to use.
4558 % specifically: NormalizeValue, CorrelateNormalizeValue,
4559 % and/or PercentValue
4560 %
4561 */
4563  const double scaling_factor,const GeometryFlags normalize_flags)
4564 {
4565  register double
4566  pos_scale,
4567  neg_scale;
4568 
4569  register ssize_t
4570  i;
4571 
4572  /* do the other kernels in a multi-kernel list first */
4573  if ( kernel->next != (KernelInfo *) NULL)
4574  ScaleKernelInfo(kernel->next, scaling_factor, normalize_flags);
4575 
4576  /* Normalization of Kernel */
4577  pos_scale = 1.0;
4578  if ( (normalize_flags&NormalizeValue) != 0 ) {
4579  if ( fabs(kernel->positive_range + kernel->negative_range) >= MagickEpsilon )
4580  /* non-zero-summing kernel (generally positive) */
4581  pos_scale = fabs(kernel->positive_range + kernel->negative_range);
4582  else
4583  /* zero-summing kernel */
4584  pos_scale = kernel->positive_range;
4585  }
4586  /* Force kernel into a normalized zero-summing kernel */
4587  if ( (normalize_flags&CorrelateNormalizeValue) != 0 ) {
4588  pos_scale = ( fabs(kernel->positive_range) >= MagickEpsilon )
4589  ? kernel->positive_range : 1.0;
4590  neg_scale = ( fabs(kernel->negative_range) >= MagickEpsilon )
4591  ? -kernel->negative_range : 1.0;
4592  }
4593  else
4594  neg_scale = pos_scale;
4595 
4596  /* finialize scaling_factor for positive and negative components */
4597  pos_scale = scaling_factor/pos_scale;
4598  neg_scale = scaling_factor/neg_scale;
4599 
4600  for (i=0; i < (ssize_t) (kernel->width*kernel->height); i++)
4601  if (!IsNaN(kernel->values[i]))
4602  kernel->values[i] *= (kernel->values[i] >= 0) ? pos_scale : neg_scale;
4603 
4604  /* convolution output range */
4605  kernel->positive_range *= pos_scale;
4606  kernel->negative_range *= neg_scale;
4607  /* maximum and minimum values in kernel */
4608  kernel->maximum *= (kernel->maximum >= 0.0) ? pos_scale : neg_scale;
4609  kernel->minimum *= (kernel->minimum >= 0.0) ? pos_scale : neg_scale;
4610 
4611  /* swap kernel settings if user's scaling factor is negative */
4612  if ( scaling_factor < MagickEpsilon ) {
4613  double t;
4614  t = kernel->positive_range;
4615  kernel->positive_range = kernel->negative_range;
4616  kernel->negative_range = t;
4617  t = kernel->maximum;
4618  kernel->maximum = kernel->minimum;
4619  kernel->minimum = 1;
4620  }
4621 
4622  return;
4623 }
4624 
4625 /*
4626 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4627 % %
4628 % %
4629 % %
4630 % S h o w K e r n e l I n f o %
4631 % %
4632 % %
4633 % %
4634 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4635 %
4636 % ShowKernelInfo() outputs the details of the given kernel defination to
4637 % standard error, generally due to a users 'morphology:showKernel' option
4638 % request.
4639 %
4640 % The format of the ShowKernel method is:
4641 %
4642 % void ShowKernelInfo(const KernelInfo *kernel)
4643 %
4644 % A description of each parameter follows:
4645 %
4646 % o kernel: the Morphology/Convolution kernel
4647 %
4648 */
4650 {
4651  const KernelInfo
4652  *k;
4653 
4654  size_t
4655  c, i, u, v;
4656 
4657  for (c=0, k=kernel; k != (KernelInfo *) NULL; c++, k=k->next ) {
4658 
4659  (void) FormatLocaleFile(stderr, "Kernel");
4660  if ( kernel->next != (KernelInfo *) NULL )
4661  (void) FormatLocaleFile(stderr, " #%lu", (unsigned long) c );
4662  (void) FormatLocaleFile(stderr, " \"%s",
4664  if ( fabs(k->angle) >= MagickEpsilon )
4665  (void) FormatLocaleFile(stderr, "@%lg", k->angle);
4666  (void) FormatLocaleFile(stderr, "\" of size %lux%lu%+ld%+ld",(unsigned long)
4667  k->width,(unsigned long) k->height,(long) k->x,(long) k->y);
4668  (void) FormatLocaleFile(stderr,
4669  " with values from %.*lg to %.*lg\n",
4670  GetMagickPrecision(), k->minimum,
4671  GetMagickPrecision(), k->maximum);
4672  (void) FormatLocaleFile(stderr, "Forming a output range from %.*lg to %.*lg",
4673  GetMagickPrecision(), k->negative_range,
4674  GetMagickPrecision(), k->positive_range);
4675  if ( fabs(k->positive_range+k->negative_range) < MagickEpsilon )
4676  (void) FormatLocaleFile(stderr, " (Zero-Summing)\n");
4677  else if ( fabs(k->positive_range+k->negative_range-1.0) < MagickEpsilon )
4678  (void) FormatLocaleFile(stderr, " (Normalized)\n");
4679  else
4680  (void) FormatLocaleFile(stderr, " (Sum %.*lg)\n",
4681  GetMagickPrecision(), k->positive_range+k->negative_range);
4682  for (i=v=0; v < k->height; v++) {
4683  (void) FormatLocaleFile(stderr, "%2lu:", (unsigned long) v );
4684  for (u=0; u < k->width; u++, i++)
4685  if (IsNaN(k->values[i]))
4686  (void) FormatLocaleFile(stderr," %*s", GetMagickPrecision()+3, "nan");
4687  else
4688  (void) FormatLocaleFile(stderr," %*.*lg", GetMagickPrecision()+3,
4689  GetMagickPrecision(), (double) k->values[i]);
4690  (void) FormatLocaleFile(stderr,"\n");
4691  }
4692  }
4693 }
4694 
4695 /*
4696 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4697 % %
4698 % %
4699 % %
4700 % U n i t y A d d K e r n a l I n f o %
4701 % %
4702 % %
4703 % %
4704 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4705 %
4706 % UnityAddKernelInfo() Adds a given amount of the 'Unity' Convolution Kernel
4707 % to the given pre-scaled and normalized Kernel. This in effect adds that
4708 % amount of the original image into the resulting convolution kernel. This
4709 % value is usually provided by the user as a percentage value in the
4710 % 'convolve:scale' setting.
4711 %
4712 % The resulting effect is to convert the defined kernels into blended
4713 % soft-blurs, unsharp kernels or into sharpening kernels.
4714 %
4715 % The format of the UnityAdditionKernelInfo method is:
4716 %
4717 % void UnityAdditionKernelInfo(KernelInfo *kernel, const double scale )
4718 %
4719 % A description of each parameter follows:
4720 %
4721 % o kernel: the Morphology/Convolution kernel
4722 %
4723 % o scale:
4724 % scaling factor for the unity kernel to be added to
4725 % the given kernel.
4726 %
4727 */
4729  const double scale)
4730 {
4731  /* do the other kernels in a multi-kernel list first */
4732  if ( kernel->next != (KernelInfo *) NULL)
4733  UnityAddKernelInfo(kernel->next, scale);
4734 
4735  /* Add the scaled unity kernel to the existing kernel */
4736  kernel->values[kernel->x+kernel->y*kernel->width] += scale;
4737  CalcKernelMetaData(kernel); /* recalculate the meta-data */
4738 
4739  return;
4740 }
4741 
4742 /*
4743 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4744 % %
4745 % %
4746 % %
4747 % Z e r o K e r n e l N a n s %
4748 % %
4749 % %
4750 % %
4751 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4752 %
4753 % ZeroKernelNans() replaces any special 'nan' value that may be present in
4754 % the kernel with a zero value. This is typically done when the kernel will
4755 % be used in special hardware (GPU) convolution processors, to simply
4756 % matters.
4757 %
4758 % The format of the ZeroKernelNans method is:
4759 %
4760 % void ZeroKernelNans (KernelInfo *kernel)
4761 %
4762 % A description of each parameter follows:
4763 %
4764 % o kernel: the Morphology/Convolution kernel
4765 %
4766 */
4768 {
4769  register size_t
4770  i;
4771 
4772  /* do the other kernels in a multi-kernel list first */
4773  if (kernel->next != (KernelInfo *) NULL)
4774  ZeroKernelNans(kernel->next);
4775 
4776  for (i=0; i < (kernel->width*kernel->height); i++)
4777  if (IsNaN(kernel->values[i]))
4778  kernel->values[i]=0.0;
4779 
4780  return;
4781 }
double psi
Definition: geometry.h:106
struct _KernelInfo * next
Definition: morphology.h:125
size_t rows
Definition: image.h:172
#define magick_restrict
Definition: MagickCore.h:41
MagickDoubleType MagickRealType
Definition: magick-type.h:120
MagickExport CacheView * DestroyCacheView(CacheView *cache_view)
Definition: cache-view.c:252
static void ExpandMirrorKernelInfo(KernelInfo *)
Definition: morphology.c:2328
MagickProgressMonitor progress_monitor
Definition: image.h:303
ImageType type
Definition: image.h:264
static KernelInfo * LastKernelInfo(KernelInfo *kernel)
Definition: morphology.c:119
static Quantum GetPixelAlpha(const Image *magick_restrict image, const Quantum *magick_restrict pixel)
#define DisableMSCWarning(nr)
Definition: studio.h:351
#define MagickAssumeAligned(address)
ssize_t y
Definition: geometry.h:116
double positive_range
Definition: morphology.h:119
MagickExport ssize_t ParseCommandOption(const CommandOption option, const MagickBooleanType list, const char *options)
Definition: option.c:2966
size_t height
Definition: morphology.h:108
MagickExport KernelInfo * DestroyKernelInfo(KernelInfo *kernel)
Definition: morphology.c:2268
#define ThrowFatalException(severity, tag)
size_t signature
Definition: exception.h:123
static size_t GetOpenMPMaximumThreads(void)
MagickExport Image * MorphologyImage(const Image *image, const MorphologyMethod method, const ssize_t iterations, const KernelInfo *kernel, ExceptionInfo *exception)
Definition: morphology.c:4126
double rho
Definition: geometry.h:106
MagickExport void SetGeometryInfo(GeometryInfo *geometry_info)
Definition: geometry.c:1720
MagickPrivate void ShowKernelInfo(const KernelInfo *)
double negative_range
Definition: morphology.h:119
static ssize_t MorphologyPrimitive(const Image *image, Image *morphology_image, const MorphologyMethod method, const KernelInfo *kernel, const double bias, ExceptionInfo *exception)
Definition: morphology.c:2562
MagickExport const char * GetImageArtifact(const Image *image, const char *artifact)
Definition: artifact.c:273
static ssize_t MorphologyPrimitiveDirect(Image *image, const MorphologyMethod method, const KernelInfo *kernel, ExceptionInfo *exception)
Definition: morphology.c:3239
#define Minimize(assign, value)
Definition: morphology.c:92
static double StringToDouble(const char *magick_restrict string, char **magick_restrict sentinal)
ssize_t x
Definition: morphology.h:112
static PixelTrait GetPixelChannelTraits(const Image *magick_restrict image, const PixelChannel channel)
#define MagickPI
Definition: image-private.h:30
MagickExport ssize_t FormatLocaleString(char *magick_restrict string, const size_t length, const char *magick_restrict format,...)
Definition: locale.c:499
MagickPrivate size_t GetOptimalKernelWidth1D(const double, const double)
MagickExport const Quantum * GetCacheViewVirtualPixels(const CacheView *cache_view, const ssize_t x, const ssize_t y, const size_t columns, const size_t rows, ExceptionInfo *exception)
Definition: cache-view.c:651
MagickExport void ScaleGeometryKernelInfo(KernelInfo *kernel, const char *geometry)
Definition: morphology.c:4456
size_t signature
Definition: morphology.h:129
MagickExport void ScaleKernelInfo(KernelInfo *kernel, const double scaling_factor, const GeometryFlags normalize_flags)
Definition: morphology.c:4562
#define MagickSQ2
Definition: image-private.h:33
#define MagickEpsilon
Definition: magick-type.h:110
double sigma
Definition: geometry.h:106
MorphologyMethod
Definition: morphology.h:69
static KernelInfo * ParseKernelArray(const char *kernel_string)
Definition: morphology.c:214
MagickExport MagickBooleanType CompositeImage(Image *image, const Image *composite, const CompositeOperator compose, const MagickBooleanType clip_to_self, const ssize_t x_offset, const ssize_t y_offset, ExceptionInfo *exception)
Definition: composite.c:528
#define Maximize(assign, value)
Definition: morphology.c:93
MagickExport char * FileToString(const char *filename, const size_t extent, ExceptionInfo *exception)
Definition: string.c:1000
ssize_t MagickOffsetType
Definition: magick-type.h:129
KernelInfoType type
Definition: morphology.h:105
Definition: image.h:151
double maximum
Definition: morphology.h:119
MagickExport KernelInfo * AcquireKernelInfo(const char *kernel_string, ExceptionInfo *exception)
Definition: morphology.c:486
#define MagickCoreSignature
MagickExport Quantum * GetCacheViewAuthenticPixels(CacheView *cache_view, const ssize_t x, const ssize_t y, const size_t columns, const size_t rows, ExceptionInfo *exception)
Definition: cache-view.c:299
MagickExport KernelInfo * AcquireKernelBuiltIn(const KernelInfoType type, const GeometryInfo *args, ExceptionInfo *exception)
Definition: morphology.c:951
MagickExport MagickBooleanType IsGeometry(const char *geometry)
Definition: geometry.c:610
static KernelInfo * ParseKernelName(const char *kernel_string, ExceptionInfo *exception)
Definition: morphology.c:373
MagickExport ssize_t FormatLocaleFile(FILE *file, const char *magick_restrict format,...)
Definition: locale.c:404
MagickExport MagickBooleanType SetImageAlphaChannel(Image *image, const AlphaChannelOption alpha_type, ExceptionInfo *exception)
Definition: channel.c:974
MagickBooleanType
Definition: magick-type.h:158
unsigned int MagickStatusType
Definition: magick-type.h:121
static double PerceptibleReciprocal(const double x)
MagickExport const char * CommandOptionToMnemonic(const CommandOption option, const ssize_t type)
Definition: option.c:2679
#define Magick2PI
Definition: image-private.h:28
MagickExport void * AcquireQuantumMemory(const size_t count, const size_t quantum)
Definition: memory.c:543
MagickPrivate size_t GetOptimalKernelWidth2D(const double, const double)
Definition: gem.c:1635
static int GetOpenMPThreadId(void)
#define MagickSQ2PI
Definition: image-private.h:34
#define RestoreMSCWarning
Definition: studio.h:352
static size_t fact(size_t n)
Definition: morphology.c:97
#define MagickPathExtent
MagickExport void * RelinquishAlignedMemory(void *memory)
Definition: memory.c:1032
MagickExport MagickBooleanType IsStringTrue(const char *value)
Definition: string.c:1425
static void CalcKernelMetaData(KernelInfo *)
Definition: morphology.c:2481
PixelTrait alpha_trait
Definition: image.h:280
MagickExport int GetMagickPrecision(void)
Definition: magick.c:886
#define MagickMaximumValue
Definition: magick-type.h:111
double minimum
Definition: morphology.h:119
MagickExport MagickBooleanType ThrowMagickException(ExceptionInfo *exception, const char *module, const char *function, const size_t line, const ExceptionType severity, const char *tag, const char *format,...)
Definition: exception.c:1145
size_t width
Definition: morphology.h:108
size_t signature
Definition: image.h:354
#define QuantumScale
Definition: magick-type.h:115
size_t columns
Definition: image.h:172
double angle
Definition: morphology.h:119
MagickExport MagickBooleanType SetImageStorageClass(Image *image, const ClassType storage_class, ExceptionInfo *exception)
Definition: image.c:2617
PixelChannel
Definition: pixel.h:67
MagickExport void * AcquireAlignedMemory(const size_t count, const size_t quantum)
Definition: memory.c:242
MagickPrivate void ZeroKernelNans(KernelInfo *)
Definition: morphology.c:4767
#define MagickMax(x, y)
Definition: image-private.h:26
GeometryFlags
Definition: geometry.h:25
static size_t GetPixelChannels(const Image *magick_restrict image)
MagickExport int LocaleCompare(const char *p, const char *q)
Definition: locale.c:1435
#define IsNaN(a)
Definition: magick-type.h:181
#define GetMagickModule()
Definition: log.h:28
static Quantum ClampToQuantum(const MagickRealType value)
Definition: quantum.h:84
static PixelChannel GetPixelChannelChannel(const Image *magick_restrict image, const ssize_t offset)
MagickExport CacheView * AcquireVirtualCacheView(const Image *image, ExceptionInfo *exception)
Definition: cache-view.c:149
static void RotateKernelInfo(KernelInfo *, double)
Definition: morphology.c:4249
MagickExport void GetNextToken(const char *start, const char **end, const size_t extent, char *token)
Definition: token.c:172
static double StringToDoubleInterval(const char *string, const double interval)
static MagickBooleanType SameKernelInfo(const KernelInfo *kernel1, const KernelInfo *kernel2)
Definition: morphology.c:2392
unsigned short Quantum
Definition: magick-type.h:82
double xi
Definition: geometry.h:106
MagickExport KernelInfo * CloneKernelInfo(const KernelInfo *kernel)
Definition: morphology.c:2213
MagickExport char * DestroyString(char *string)
Definition: string.c:823
MagickExport void * AcquireMagickMemory(const size_t size)
Definition: memory.c:472
MagickExport MagickStatusType ParseGeometry(const char *geometry, GeometryInfo *geometry_info)
Definition: geometry.c:853
static void SetPixelChannel(const Image *magick_restrict image, const PixelChannel channel, const Quantum quantum, Quantum *magick_restrict pixel)
MagickPrivate Image * MorphologyApply(const Image *, const MorphologyMethod, const ssize_t, const KernelInfo *, const CompositeOperator, const double, ExceptionInfo *)
Definition: morphology.c:3631
ssize_t x
Definition: geometry.h:116
MagickExport void * RelinquishMagickMemory(void *memory)
Definition: memory.c:1069
MagickBooleanType(* MagickProgressMonitor)(const char *, const MagickOffsetType, const MagickSizeType, void *)
Definition: monitor.h:26
CompositeOperator compose
Definition: image.h:234
MagickExport void UnityAddKernelInfo(KernelInfo *kernel, const double scale)
Definition: morphology.c:4728
CompositeOperator
Definition: composite.h:25
#define MagickPrivate
KernelInfoType
Definition: morphology.h:27
#define MagickExport
ssize_t y
Definition: morphology.h:112
MagickExport MagickBooleanType SyncCacheViewAuthenticPixels(CacheView *magick_restrict cache_view, ExceptionInfo *exception)
Definition: cache-view.c:1100
MagickExport CacheView * AcquireAuthenticCacheView(const Image *image, ExceptionInfo *exception)
Definition: cache-view.c:112
PixelTrait
Definition: pixel.h:134
MagickExport MagickRealType GetPixelIntensity(const Image *magick_restrict image, const Quantum *magick_restrict pixel)
Definition: pixel.c:2358
static void ExpandRotateKernelInfo(KernelInfo *, const double)
Definition: morphology.c:2420
#define MorphologyTag
#define KernelRank
MagickExport Image * DestroyImage(Image *image)
Definition: image.c:1181
MagickExport Image * CloneImage(const Image *image, const size_t columns, const size_t rows, const MagickBooleanType detach, ExceptionInfo *exception)
Definition: image.c:796
#define QuantumRange
Definition: magick-type.h:83
MagickExport MagickBooleanType SetImageProgress(const Image *image, const char *tag, const MagickOffsetType offset, const MagickSizeType extent)
Definition: monitor.c:136
MagickRealType * values
Definition: morphology.h:116