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fourier.c
/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% %
% %
% FFFFF OOO U U RRRR IIIII EEEEE RRRR %
% F O O U U R R I E R R %
% FFF O O U U RRRR I EEE RRRR %
% F O O U U R R I E R R %
% F OOO UUU R R IIIII EEEEE R R %
% %
% %
% MagickCore Discrete Fourier Transform Methods %
% %
% Software Design %
% Sean Burke %
% Fred Weinhaus %
% Cristy %
% July 2009 %
% %
% %
% Copyright @ 1999 ImageMagick Studio LLC, a non-profit organization %
% dedicated to making software imaging solutions freely available. %
% %
% You may not use this file except in compliance with the License. You may %
% obtain a copy of the License at %
% %
% https://imagemagick.org/license/ %
% %
% Unless required by applicable law or agreed to in writing, software %
% distributed under the License is distributed on an "AS IS" BASIS, %
% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. %
% See the License for the specific language governing permissions and %
% limitations under the License. %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%
%
*/
␌
/*
Include declarations.
*/
#include "MagickCore/studio.h"
#include "MagickCore/artifact.h"
#include "MagickCore/attribute.h"
#include "MagickCore/blob.h"
#include "MagickCore/cache.h"
#include "MagickCore/image.h"
#include "MagickCore/image-private.h"
#include "MagickCore/list.h"
#include "MagickCore/fourier.h"
#include "MagickCore/log.h"
#include "MagickCore/memory_.h"
#include "MagickCore/monitor.h"
#include "MagickCore/monitor-private.h"
#include "MagickCore/pixel-accessor.h"
#include "MagickCore/property.h"
#include "MagickCore/quantum-private.h"
#include "MagickCore/resource_.h"
#include "MagickCore/string-private.h"
#include "MagickCore/thread-private.h"
#if defined(MAGICKCORE_FFTW_DELEGATE)
#if defined(_MSC_VER)
#define ENABLE_FFTW_DELEGATE
#elif !defined(__cplusplus) && !defined(c_plusplus)
#define ENABLE_FFTW_DELEGATE
#endif
#endif
#if defined(ENABLE_FFTW_DELEGATE)
#if defined(MAGICKCORE_HAVE_COMPLEX_H)
#include <complex.h>
#endif
#include <fftw3.h>
#if !defined(MAGICKCORE_HAVE_CABS)
#define cabs(z) (sqrt(z[0]*z[0]+z[1]*z[1]))
#endif
#if !defined(MAGICKCORE_HAVE_CARG)
#define carg(z) (atan2(cimag(z),creal(z)))
#endif
#if !defined(MAGICKCORE_HAVE_CIMAG)
#define cimag(z) (z[1])
#endif
#if !defined(MAGICKCORE_HAVE_CREAL)
#define creal(z) (z[0])
#endif
#endif
␌
/*
Typedef declarations.
*/
typedef struct _FourierInfo
{
PixelChannel
channel;
MagickBooleanType
modulus;
size_t
center,
width,
height;
} FourierInfo;
␌
/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% %
% %
% C o m p l e x I m a g e s %
% %
% %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% ComplexImages() performs complex mathematics on an image sequence.
%
% The format of the ComplexImages method is:
%
% MagickBooleanType ComplexImages(Image *images,const ComplexOperator op,
% ExceptionInfo *exception)
%
% A description of each parameter follows:
%
% o image: the image.
%
% o op: A complex operator.
%
% o exception: return any errors or warnings in this structure.
%
*/
MagickExport Image *ComplexImages(const Image *images,const ComplexOperator op,
ExceptionInfo *exception)
{
#define ComplexImageTag "Complex/Image"
CacheView
*Ai_view,
*Ar_view,
*Bi_view,
*Br_view,
*Ci_view,
*Cr_view;
const char
*artifact;
const Image
*Ai_image,
*Ar_image,
*Bi_image,
*Br_image;
double
snr;
Image
*Ci_image,
*complex_images,
*Cr_image,
*image;
MagickBooleanType
status;
MagickOffsetType
progress;
size_t
columns,
number_channels,
rows;
ssize_t
y;
assert(images != (Image *) NULL);
assert(images->signature == MagickCoreSignature);
assert(exception != (ExceptionInfo *) NULL);
assert(exception->signature == MagickCoreSignature);
if (IsEventLogging() != MagickFalse)
(void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",images->filename);
if (images->next == (Image *) NULL)
{
(void) ThrowMagickException(exception,GetMagickModule(),ImageError,
"ImageSequenceRequired","`%s'",images->filename);
return((Image *) NULL);
}
image=CloneImage(images,0,0,MagickTrue,exception);
if (image == (Image *) NULL)
return((Image *) NULL);
if (SetImageStorageClass(image,DirectClass,exception) == MagickFalse)
{
image=DestroyImageList(image);
return(image);
}
image->depth=32UL;
complex_images=NewImageList();
AppendImageToList(&complex_images,image);
image=CloneImage(images->next,0,0,MagickTrue,exception);
if (image == (Image *) NULL)
{
complex_images=DestroyImageList(complex_images);
return(complex_images);
}
image->depth=32UL;
AppendImageToList(&complex_images,image);
if (SetImageStorageClass(image,DirectClass,exception) == MagickFalse)
{
complex_images=DestroyImageList(complex_images);
return(complex_images);
}
/*
Apply complex mathematics to image pixels.
*/
artifact=GetImageArtifact(images,"complex:snr");
snr=0.0;
if (artifact != (const char *) NULL)
snr=StringToDouble(artifact,(char **) NULL);
Ar_image=images;
Ai_image=images->next;
Br_image=images;
Bi_image=images->next;
if ((images->next->next != (Image *) NULL) &&
(images->next->next->next != (Image *) NULL))
{
Br_image=images->next->next;
Bi_image=images->next->next->next;
}
Cr_image=complex_images;
Ci_image=complex_images->next;
number_channels=MagickMin(MagickMin(MagickMin(
Ar_image->number_channels,Ai_image->number_channels),MagickMin(
Br_image->number_channels,Bi_image->number_channels)),MagickMin(
Cr_image->number_channels,Ci_image->number_channels));
Ar_view=AcquireVirtualCacheView(Ar_image,exception);
Ai_view=AcquireVirtualCacheView(Ai_image,exception);
Br_view=AcquireVirtualCacheView(Br_image,exception);
Bi_view=AcquireVirtualCacheView(Bi_image,exception);
Cr_view=AcquireAuthenticCacheView(Cr_image,exception);
Ci_view=AcquireAuthenticCacheView(Ci_image,exception);
status=MagickTrue;
progress=0;
columns=MagickMin(Cr_image->columns,Ci_image->columns);
rows=MagickMin(Cr_image->rows,Ci_image->rows);
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp parallel for schedule(static) shared(progress,status) \
magick_number_threads(Cr_image,complex_images,rows,1L)
#endif
for (y=0; y < (ssize_t) rows; y++)
{
const Quantum
*magick_restrict Ai,
*magick_restrict Ar,
*magick_restrict Bi,
*magick_restrict Br;
Quantum
*magick_restrict Ci,
*magick_restrict Cr;
ssize_t
x;
if (status == MagickFalse)
continue;
Ar=GetCacheViewVirtualPixels(Ar_view,0,y,columns,1,exception);
Ai=GetCacheViewVirtualPixels(Ai_view,0,y,columns,1,exception);
Br=GetCacheViewVirtualPixels(Br_view,0,y,columns,1,exception);
Bi=GetCacheViewVirtualPixels(Bi_view,0,y,columns,1,exception);
Cr=QueueCacheViewAuthenticPixels(Cr_view,0,y,columns,1,exception);
Ci=QueueCacheViewAuthenticPixels(Ci_view,0,y,columns,1,exception);
if ((Ar == (const Quantum *) NULL) || (Ai == (const Quantum *) NULL) ||
(Br == (const Quantum *) NULL) || (Bi == (const Quantum *) NULL) ||
(Cr == (Quantum *) NULL) || (Ci == (Quantum *) NULL))
{
status=MagickFalse;
continue;
}
for (x=0; x < (ssize_t) columns; x++)
{
ssize_t
i;
for (i=0; i < (ssize_t) number_channels; i++)
{
double
ai = QuantumScale*(double) Ai[i],
ar = QuantumScale*(double) Ar[i],
bi = QuantumScale*(double) Bi[i],
br = QuantumScale*(double) Br[i],
ci,
cr;
switch (op)
{
case AddComplexOperator:
{
cr=ar+br;
ci=ai+bi;
break;
}
case ConjugateComplexOperator:
default:
{
cr=ar;
ci=(-ai);
break;
}
case DivideComplexOperator:
{
cr=MagickSafeReciprocal(br*br+bi*bi+snr)*(ar*br+ai*bi);
ci=MagickSafeReciprocal(br*br+bi*bi+snr)*(ai*br-ar*bi);
break;
}
case MagnitudePhaseComplexOperator:
{
cr=sqrt(ar*ar+ai*ai);
ci=atan2((double) ai,(double) ar)/(2.0*MagickPI)+0.5;
break;
}
case MultiplyComplexOperator:
{
cr=(ar*br-ai*bi);
ci=(ai*br+ar*bi);
break;
}
case RealImaginaryComplexOperator:
{
cr=ar*cos(2.0*MagickPI*(ai-0.5));
ci=ar*sin(2.0*MagickPI*(ai-0.5));
break;
}
case SubtractComplexOperator:
{
cr=ar-br;
ci=ai-bi;
break;
}
}
Cr[i]=ClampToQuantum((double) QuantumRange*cr);
Ci[i]=ClampToQuantum((double) QuantumRange*ci);
}
Ar+=(ptrdiff_t) GetPixelChannels(Ar_image);
Ai+=(ptrdiff_t) GetPixelChannels(Ai_image);
Br+=(ptrdiff_t) GetPixelChannels(Br_image);
Bi+=(ptrdiff_t) GetPixelChannels(Bi_image);
Cr+=(ptrdiff_t) GetPixelChannels(Cr_image);
Ci+=(ptrdiff_t) GetPixelChannels(Ci_image);
}
if (SyncCacheViewAuthenticPixels(Ci_view,exception) == MagickFalse)
status=MagickFalse;
if (SyncCacheViewAuthenticPixels(Cr_view,exception) == MagickFalse)
status=MagickFalse;
if (images->progress_monitor != (MagickProgressMonitor) NULL)
{
MagickBooleanType
proceed;
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp atomic
#endif
progress++;
proceed=SetImageProgress(images,ComplexImageTag,progress,images->rows);
if (proceed == MagickFalse)
status=MagickFalse;
}
}
Cr_view=DestroyCacheView(Cr_view);
Ci_view=DestroyCacheView(Ci_view);
Br_view=DestroyCacheView(Br_view);
Bi_view=DestroyCacheView(Bi_view);
Ar_view=DestroyCacheView(Ar_view);
Ai_view=DestroyCacheView(Ai_view);
if (status == MagickFalse)
complex_images=DestroyImageList(complex_images);
return(complex_images);
}
␌
/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% %
% %
% F o r w a r d F o u r i e r T r a n s f o r m I m a g e %
% %
% %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% ForwardFourierTransformImage() implements the discrete Fourier transform
% (DFT) of the image either as a magnitude / phase or real / imaginary image
% pair.
%
% The format of the ForwardFourierTransformImage method is:
%
% Image *ForwardFourierTransformImage(const Image *image,
% const MagickBooleanType modulus,ExceptionInfo *exception)
%
% A description of each parameter follows:
%
% o image: the image.
%
% o modulus: if true, return as transform as a magnitude / phase pair
% otherwise a real / imaginary image pair.
%
% o exception: return any errors or warnings in this structure.
%
*/
#if defined(ENABLE_FFTW_DELEGATE)
static MagickBooleanType RollFourier(const size_t width,const size_t height,
const ssize_t x_offset,const ssize_t y_offset,double *roll_pixels)
{
double
*source_pixels;
MemoryInfo
*source_info;
ssize_t
i,
u,
v,
x,
y;
/*
Move zero frequency (DC, average color) from (0,0) to (width/2,height/2).
*/
source_info=AcquireVirtualMemory(width,height*sizeof(*source_pixels));
if (source_info == (MemoryInfo *) NULL)
return(MagickFalse);
source_pixels=(double *) GetVirtualMemoryBlob(source_info);
i=0L;
for (y=0L; y < (ssize_t) height; y++)
{
if (y_offset < 0L)
v=((y+y_offset) < 0L) ? y+y_offset+(ssize_t) height : y+y_offset;
else
v=((y+y_offset) > ((ssize_t) height-1L)) ? y+y_offset-(ssize_t) height :
y+y_offset;
for (x=0L; x < (ssize_t) width; x++)
{
if (x_offset < 0L)
u=((x+x_offset) < 0L) ? x+x_offset+(ssize_t) width : x+x_offset;
else
u=((x+x_offset) > ((ssize_t) width-1L)) ? x+x_offset-(ssize_t) width :
x+x_offset;
source_pixels[v*(ssize_t) width+u]=roll_pixels[i++];
}
}
(void) memcpy(roll_pixels,source_pixels,height*width*sizeof(*source_pixels));
source_info=RelinquishVirtualMemory(source_info);
return(MagickTrue);
}
static MagickBooleanType ForwardQuadrantSwap(const size_t width,
const size_t height,double *source_pixels,double *forward_pixels)
{
MagickBooleanType
status;
size_t
center;
ssize_t
x,
y;
/*
Swap quadrants.
*/
center=width/2+1;
status=RollFourier(center,height,0L,(ssize_t) height/2L,source_pixels);
if (status == MagickFalse)
return(MagickFalse);
for (y=0L; y < (ssize_t) height; y++)
for (x=0L; x < (ssize_t) (width/2L); x++)
forward_pixels[y*(ssize_t) width+x+(ssize_t) width/2L]=
source_pixels[y*(ssize_t) center+x];
for (y=1; y < (ssize_t) height; y++)
for (x=0L; x < (ssize_t) (width/2L); x++)
forward_pixels[((ssize_t) height-y)*(ssize_t) width+(ssize_t) width/2L-x-1L]=
source_pixels[y*(ssize_t) center+x+1L];
for (x=0L; x < (ssize_t) (width/2L); x++)
forward_pixels[(ssize_t) width/2L-x-1L]=source_pixels[x+1L];
return(MagickTrue);
}
static void CorrectPhaseLHS(const size_t width,const size_t height,
double *fourier_pixels)
{
ssize_t
x,
y;
for (y=0L; y < (ssize_t) height; y++)
for (x=0L; x < (ssize_t) (width/2L); x++)
fourier_pixels[y*(ssize_t) width+x]*=(-1.0);
}
static MagickBooleanType ForwardFourier(const FourierInfo *fourier_info,
Image *image,double *magnitude,double *phase,ExceptionInfo *exception)
{
CacheView
*magnitude_view,
*phase_view;
double
*magnitude_pixels,
*phase_pixels;
Image
*magnitude_image,
*phase_image;
MagickBooleanType
status;
MemoryInfo
*magnitude_info,
*phase_info;
Quantum
*q;
ssize_t
i,
x,
y;
magnitude_image=GetFirstImageInList(image);
phase_image=GetNextImageInList(image);
if (phase_image == (Image *) NULL)
{
(void) ThrowMagickException(exception,GetMagickModule(),ImageError,
"ImageSequenceRequired","`%s'",image->filename);
return(MagickFalse);
}
/*
Create "Fourier Transform" image from constituent arrays.
*/
magnitude_info=AcquireVirtualMemory(fourier_info->width,fourier_info->height*
sizeof(*magnitude_pixels));
phase_info=AcquireVirtualMemory(fourier_info->width,fourier_info->height*
sizeof(*phase_pixels));
if ((magnitude_info == (MemoryInfo *) NULL) ||
(phase_info == (MemoryInfo *) NULL))
{
if (phase_info != (MemoryInfo *) NULL)
phase_info=RelinquishVirtualMemory(phase_info);
if (magnitude_info != (MemoryInfo *) NULL)
magnitude_info=RelinquishVirtualMemory(magnitude_info);
(void) ThrowMagickException(exception,GetMagickModule(),
ResourceLimitError,"MemoryAllocationFailed","`%s'",image->filename);
return(MagickFalse);
}
magnitude_pixels=(double *) GetVirtualMemoryBlob(magnitude_info);
(void) memset(magnitude_pixels,0,fourier_info->width*
fourier_info->height*sizeof(*magnitude_pixels));
phase_pixels=(double *) GetVirtualMemoryBlob(phase_info);
(void) memset(phase_pixels,0,fourier_info->width*
fourier_info->height*sizeof(*phase_pixels));
status=ForwardQuadrantSwap(fourier_info->width,fourier_info->height,
magnitude,magnitude_pixels);
if (status != MagickFalse)
status=ForwardQuadrantSwap(fourier_info->width,fourier_info->height,phase,
phase_pixels);
CorrectPhaseLHS(fourier_info->width,fourier_info->height,phase_pixels);
if (fourier_info->modulus != MagickFalse)
{
i=0L;
for (y=0L; y < (ssize_t) fourier_info->height; y++)
for (x=0L; x < (ssize_t) fourier_info->width; x++)
{
phase_pixels[i]/=(2.0*MagickPI);
phase_pixels[i]+=0.5;
i++;
}
}
magnitude_view=AcquireAuthenticCacheView(magnitude_image,exception);
i=0L;
for (y=0L; y < (ssize_t) fourier_info->height; y++)
{
q=GetCacheViewAuthenticPixels(magnitude_view,0L,y,fourier_info->width,1UL,
exception);
if (q == (Quantum *) NULL)
break;
for (x=0L; x < (ssize_t) fourier_info->width; x++)
{
switch (fourier_info->channel)
{
case RedPixelChannel:
default:
{
SetPixelRed(magnitude_image,ClampToQuantum((double) QuantumRange*
magnitude_pixels[i]),q);
break;
}
case GreenPixelChannel:
{
SetPixelGreen(magnitude_image,ClampToQuantum((double) QuantumRange*
magnitude_pixels[i]),q);
break;
}
case BluePixelChannel:
{
SetPixelBlue(magnitude_image,ClampToQuantum((double) QuantumRange*
magnitude_pixels[i]),q);
break;
}
case BlackPixelChannel:
{
SetPixelBlack(magnitude_image,ClampToQuantum((double) QuantumRange*
magnitude_pixels[i]),q);
break;
}
case AlphaPixelChannel:
{
SetPixelAlpha(magnitude_image,ClampToQuantum((double) QuantumRange*
magnitude_pixels[i]),q);
break;
}
}
i++;
q+=(ptrdiff_t) GetPixelChannels(magnitude_image);
}
status=SyncCacheViewAuthenticPixels(magnitude_view,exception);
if (status == MagickFalse)
break;
}
magnitude_view=DestroyCacheView(magnitude_view);
i=0L;
phase_view=AcquireAuthenticCacheView(phase_image,exception);
for (y=0L; y < (ssize_t) fourier_info->height; y++)
{
q=GetCacheViewAuthenticPixels(phase_view,0L,y,fourier_info->width,1UL,
exception);
if (q == (Quantum *) NULL)
break;
for (x=0L; x < (ssize_t) fourier_info->width; x++)
{
switch (fourier_info->channel)
{
case RedPixelChannel:
default:
{
SetPixelRed(phase_image,ClampToQuantum((double) QuantumRange*
phase_pixels[i]),q);
break;
}
case GreenPixelChannel:
{
SetPixelGreen(phase_image,ClampToQuantum((double) QuantumRange*
phase_pixels[i]),q);
break;
}
case BluePixelChannel:
{
SetPixelBlue(phase_image,ClampToQuantum((double) QuantumRange*
phase_pixels[i]),q);
break;
}
case BlackPixelChannel:
{
SetPixelBlack(phase_image,ClampToQuantum((double) QuantumRange*
phase_pixels[i]),q);
break;
}
case AlphaPixelChannel:
{
SetPixelAlpha(phase_image,ClampToQuantum((double) QuantumRange*
phase_pixels[i]),q);
break;
}
}
i++;
q+=(ptrdiff_t) GetPixelChannels(phase_image);
}
status=SyncCacheViewAuthenticPixels(phase_view,exception);
if (status == MagickFalse)
break;
}
phase_view=DestroyCacheView(phase_view);
phase_info=RelinquishVirtualMemory(phase_info);
magnitude_info=RelinquishVirtualMemory(magnitude_info);
return(status);
}
static MagickBooleanType ForwardFourierTransform(FourierInfo *fourier_info,
const Image *image,double *magnitude_pixels,double *phase_pixels,
ExceptionInfo *exception)
{
CacheView
*image_view;
const char
*value;
const Quantum
*p;
double
*source_pixels;
fftw_complex
*forward_pixels;
fftw_plan
fftw_r2c_plan;
MemoryInfo
*forward_info,
*source_info;
ssize_t
i,
x,
y;
/*
Generate the forward Fourier transform.
*/
if ((fourier_info->width >= INT_MAX) || (fourier_info->height >= INT_MAX))
{
(void) ThrowMagickException(exception,GetMagickModule(),ImageError,
"WidthOrHeightExceedsLimit","`%s'",image->filename);
return(MagickFalse);
}
source_info=AcquireVirtualMemory(fourier_info->width,fourier_info->height*
sizeof(*source_pixels));
if (source_info == (MemoryInfo *) NULL)
{
(void) ThrowMagickException(exception,GetMagickModule(),
ResourceLimitError,"MemoryAllocationFailed","`%s'",image->filename);
return(MagickFalse);
}
source_pixels=(double *) GetVirtualMemoryBlob(source_info);
memset(source_pixels,0,fourier_info->width*fourier_info->height*
sizeof(*source_pixels));
i=0L;
image_view=AcquireVirtualCacheView(image,exception);
for (y=0L; y < (ssize_t) fourier_info->height; y++)
{
p=GetCacheViewVirtualPixels(image_view,0L,y,fourier_info->width,1UL,
exception);
if (p == (const Quantum *) NULL)
break;
for (x=0L; x < (ssize_t) fourier_info->width; x++)
{
switch (fourier_info->channel)
{
case RedPixelChannel:
default:
{
source_pixels[i]=QuantumScale*(double) GetPixelRed(image,p);
break;
}
case GreenPixelChannel:
{
source_pixels[i]=QuantumScale*(double) GetPixelGreen(image,p);
break;
}
case BluePixelChannel:
{
source_pixels[i]=QuantumScale*(double) GetPixelBlue(image,p);
break;
}
case BlackPixelChannel:
{
source_pixels[i]=QuantumScale*(double) GetPixelBlack(image,p);
break;
}
case AlphaPixelChannel:
{
source_pixels[i]=QuantumScale*(double) GetPixelAlpha(image,p);
break;
}
}
i++;
p+=(ptrdiff_t) GetPixelChannels(image);
}
}
image_view=DestroyCacheView(image_view);
forward_info=AcquireVirtualMemory(fourier_info->width,(fourier_info->height/2+
1)*sizeof(*forward_pixels));
if (forward_info == (MemoryInfo *) NULL)
{
(void) ThrowMagickException(exception,GetMagickModule(),
ResourceLimitError,"MemoryAllocationFailed","`%s'",image->filename);
source_info=(MemoryInfo *) RelinquishVirtualMemory(source_info);
return(MagickFalse);
}
forward_pixels=(fftw_complex *) GetVirtualMemoryBlob(forward_info);
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp critical (MagickCore_ForwardFourierTransform)
#endif
fftw_r2c_plan=fftw_plan_dft_r2c_2d((int) fourier_info->width,
(int) fourier_info->height,source_pixels,forward_pixels,FFTW_ESTIMATE);
fftw_execute_dft_r2c(fftw_r2c_plan,source_pixels,forward_pixels);
fftw_destroy_plan(fftw_r2c_plan);
source_info=(MemoryInfo *) RelinquishVirtualMemory(source_info);
value=GetImageArtifact(image,"fourier:normalize");
if ((value == (const char *) NULL) || (LocaleCompare(value,"forward") == 0))
{
double
gamma;
/*
Normalize forward transform.
*/
i=0L;
gamma=MagickSafeReciprocal((double) fourier_info->width*
fourier_info->height);
for (y=0L; y < (ssize_t) fourier_info->height; y++)
for (x=0L; x < (ssize_t) fourier_info->center; x++)
{
#if defined(MAGICKCORE_HAVE_COMPLEX_H)
forward_pixels[i]*=gamma;
#else
forward_pixels[i][0]*=gamma;
forward_pixels[i][1]*=gamma;
#endif
i++;
}
}
/*
Generate magnitude and phase (or real and imaginary).
*/
i=0L;
if (fourier_info->modulus != MagickFalse)
for (y=0L; y < (ssize_t) fourier_info->height; y++)
for (x=0L; x < (ssize_t) fourier_info->center; x++)
{
magnitude_pixels[i]=cabs(forward_pixels[i]);
phase_pixels[i]=carg(forward_pixels[i]);
i++;
}
else
for (y=0L; y < (ssize_t) fourier_info->height; y++)
for (x=0L; x < (ssize_t) fourier_info->center; x++)
{
magnitude_pixels[i]=creal(forward_pixels[i]);
phase_pixels[i]=cimag(forward_pixels[i]);
i++;
}
forward_info=(MemoryInfo *) RelinquishVirtualMemory(forward_info);
return(MagickTrue);
}
static MagickBooleanType ForwardFourierTransformChannel(const Image *image,
const PixelChannel channel,const MagickBooleanType modulus,
Image *fourier_image,ExceptionInfo *exception)
{
double
*magnitude_pixels,
*phase_pixels;
FourierInfo
fourier_info;
MagickBooleanType
status;
MemoryInfo
*magnitude_info,
*phase_info;
fourier_info.width=image->columns;
fourier_info.height=image->rows;
if ((image->columns != image->rows) || ((image->columns % 2) != 0) ||
((image->rows % 2) != 0))
{
size_t extent=image->columns < image->rows ? image->rows : image->columns;
fourier_info.width=(extent & 0x01) == 1 ? extent+1UL : extent;
}
fourier_info.height=fourier_info.width;
fourier_info.center=fourier_info.width/2+1;
fourier_info.channel=channel;
fourier_info.modulus=modulus;
magnitude_info=AcquireVirtualMemory(fourier_info.width,(fourier_info.height/2+
1)*sizeof(*magnitude_pixels));
phase_info=AcquireVirtualMemory(fourier_info.width,(fourier_info.height/2+1)*
sizeof(*phase_pixels));
if ((magnitude_info == (MemoryInfo *) NULL) ||
(phase_info == (MemoryInfo *) NULL))
{
if (phase_info != (MemoryInfo *) NULL)
phase_info=RelinquishVirtualMemory(phase_info);
if (magnitude_info == (MemoryInfo *) NULL)
magnitude_info=RelinquishVirtualMemory(magnitude_info);
(void) ThrowMagickException(exception,GetMagickModule(),
ResourceLimitError,"MemoryAllocationFailed","`%s'",image->filename);
return(MagickFalse);
}
magnitude_pixels=(double *) GetVirtualMemoryBlob(magnitude_info);
phase_pixels=(double *) GetVirtualMemoryBlob(phase_info);
status=ForwardFourierTransform(&fourier_info,image,magnitude_pixels,
phase_pixels,exception);
if (status != MagickFalse)
status=ForwardFourier(&fourier_info,fourier_image,magnitude_pixels,
phase_pixels,exception);
phase_info=RelinquishVirtualMemory(phase_info);
magnitude_info=RelinquishVirtualMemory(magnitude_info);
return(status);
}
#endif
MagickExport Image *ForwardFourierTransformImage(const Image *image,
const MagickBooleanType modulus,ExceptionInfo *exception)
{
Image
*fourier_image;
fourier_image=NewImageList();
#if !defined(ENABLE_FFTW_DELEGATE)
(void) modulus;
(void) ThrowMagickException(exception,GetMagickModule(),
MissingDelegateWarning,"DelegateLibrarySupportNotBuiltIn","`%s' (FFTW)",
image->filename);
#else
{
Image
*magnitude_image;
size_t
height,
width;
width=image->columns;
height=image->rows;
if ((image->columns != image->rows) || ((image->columns % 2) != 0) ||
((image->rows % 2) != 0))
{
size_t extent=image->columns < image->rows ? image->rows :
image->columns;
width=(extent & 0x01) == 1 ? extent+1UL : extent;
}
height=width;
magnitude_image=CloneImage(image,width,height,MagickTrue,exception);
if (magnitude_image != (Image *) NULL)
{
Image
*phase_image;
magnitude_image->storage_class=DirectClass;
magnitude_image->depth=32UL;
phase_image=CloneImage(image,width,height,MagickTrue,exception);
if (phase_image == (Image *) NULL)
magnitude_image=DestroyImage(magnitude_image);
else
{
MagickBooleanType
is_gray,
status;
phase_image->storage_class=DirectClass;
phase_image->depth=32UL;
AppendImageToList(&fourier_image,magnitude_image);
AppendImageToList(&fourier_image,phase_image);
status=MagickTrue;
is_gray=IsImageGray(image);
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp parallel sections
#endif
{
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp section
#endif
{
MagickBooleanType
thread_status;
if (is_gray != MagickFalse)
thread_status=ForwardFourierTransformChannel(image,
GrayPixelChannel,modulus,fourier_image,exception);
else
thread_status=ForwardFourierTransformChannel(image,
RedPixelChannel,modulus,fourier_image,exception);
if (thread_status == MagickFalse)
status=thread_status;
}
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp section
#endif
{
MagickBooleanType
thread_status;
thread_status=MagickTrue;
if (is_gray == MagickFalse)
thread_status=ForwardFourierTransformChannel(image,
GreenPixelChannel,modulus,fourier_image,exception);
if (thread_status == MagickFalse)
status=thread_status;
}
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp section
#endif
{
MagickBooleanType
thread_status;
thread_status=MagickTrue;
if (is_gray == MagickFalse)
thread_status=ForwardFourierTransformChannel(image,
BluePixelChannel,modulus,fourier_image,exception);
if (thread_status == MagickFalse)
status=thread_status;
}
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp section
#endif
{
MagickBooleanType
thread_status;
thread_status=MagickTrue;
if (image->colorspace == CMYKColorspace)
thread_status=ForwardFourierTransformChannel(image,
BlackPixelChannel,modulus,fourier_image,exception);
if (thread_status == MagickFalse)
status=thread_status;
}
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp section
#endif
{
MagickBooleanType
thread_status;
thread_status=MagickTrue;
if (image->alpha_trait != UndefinedPixelTrait)
thread_status=ForwardFourierTransformChannel(image,
AlphaPixelChannel,modulus,fourier_image,exception);
if (thread_status == MagickFalse)
status=thread_status;
}
}
if (status == MagickFalse)
fourier_image=DestroyImageList(fourier_image);
fftw_cleanup();
}
}
}
#endif
return(fourier_image);
}
␌
/*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% %
% %
% I n v e r s e F o u r i e r T r a n s f o r m I m a g e %
% %
% %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% InverseFourierTransformImage() implements the inverse discrete Fourier
% transform (DFT) of the image either as a magnitude / phase or real /
% imaginary image pair.
%
% The format of the InverseFourierTransformImage method is:
%
% Image *InverseFourierTransformImage(const Image *magnitude_image,
% const Image *phase_image,const MagickBooleanType modulus,
% ExceptionInfo *exception)
%
% A description of each parameter follows:
%
% o magnitude_image: the magnitude or real image.
%
% o phase_image: the phase or imaginary image.
%
% o modulus: if true, return transform as a magnitude / phase pair
% otherwise a real / imaginary image pair.
%
% o exception: return any errors or warnings in this structure.
%
*/
#if defined(ENABLE_FFTW_DELEGATE)
static MagickBooleanType InverseQuadrantSwap(const size_t width,
const size_t height,const double *source,double *destination)
{
size_t
center;
ssize_t
x,
y;
/*
Swap quadrants.
*/
center=width/2+1;
for (y=1L; y < (ssize_t) height; y++)
for (x=0L; x < (ssize_t) (width/2L+1L); x++)
destination[((ssize_t) height-y)*(ssize_t) center-x+(ssize_t) width/2L]=
source[y*(ssize_t) width+x];
for (y=0L; y < (ssize_t) height; y++)
destination[y*(ssize_t) center]=
source[y*(ssize_t) width+(ssize_t) width/2L];
for (x=0L; x < (ssize_t) center; x++)
destination[x]=source[(ssize_t) center-x-1L];
return(RollFourier(center,height,0L,(ssize_t) height/-2L,destination));
}
static MagickBooleanType InverseFourier(FourierInfo *fourier_info,
const Image *magnitude_image,const Image *phase_image,
fftw_complex *fourier_pixels,ExceptionInfo *exception)
{
CacheView
*magnitude_view,
*phase_view;
const Quantum
*p;
double
*inverse_pixels,
*magnitude_pixels,
*phase_pixels;
MagickBooleanType
status;
MemoryInfo
*inverse_info,
*magnitude_info,
*phase_info;
ssize_t
i,
x,
y;
/*
Inverse fourier - read image and break down into a double array.
*/
magnitude_info=AcquireVirtualMemory(fourier_info->width,fourier_info->height*
sizeof(*magnitude_pixels));
phase_info=AcquireVirtualMemory(fourier_info->width,fourier_info->height*
sizeof(*phase_pixels));
inverse_info=AcquireVirtualMemory(fourier_info->width,(fourier_info->height/2+
1)*sizeof(*inverse_pixels));
if ((magnitude_info == (MemoryInfo *) NULL) ||
(phase_info == (MemoryInfo *) NULL) ||
(inverse_info == (MemoryInfo *) NULL))
{
if (magnitude_info != (MemoryInfo *) NULL)
magnitude_info=RelinquishVirtualMemory(magnitude_info);
if (phase_info != (MemoryInfo *) NULL)
phase_info=RelinquishVirtualMemory(phase_info);
if (inverse_info != (MemoryInfo *) NULL)
inverse_info=RelinquishVirtualMemory(inverse_info);
(void) ThrowMagickException(exception,GetMagickModule(),
ResourceLimitError,"MemoryAllocationFailed","`%s'",
magnitude_image->filename);
return(MagickFalse);
}
magnitude_pixels=(double *) GetVirtualMemoryBlob(magnitude_info);
phase_pixels=(double *) GetVirtualMemoryBlob(phase_info);
inverse_pixels=(double *) GetVirtualMemoryBlob(inverse_info);
i=0L;
magnitude_view=AcquireVirtualCacheView(magnitude_image,exception);
for (y=0L; y < (ssize_t) fourier_info->height; y++)
{
p=GetCacheViewVirtualPixels(magnitude_view,0L,y,fourier_info->width,1UL,
exception);
if (p == (const Quantum *) NULL)
break;
for (x=0L; x < (ssize_t) fourier_info->width; x++)
{
switch (fourier_info->channel)
{
case RedPixelChannel:
default:
{
magnitude_pixels[i]=QuantumScale*(double)
GetPixelRed(magnitude_image,p);
break;
}
case GreenPixelChannel:
{
magnitude_pixels[i]=QuantumScale*(double)
GetPixelGreen(magnitude_image,p);
break;
}
case BluePixelChannel:
{
magnitude_pixels[i]=QuantumScale*(double)
GetPixelBlue(magnitude_image,p);
break;
}
case BlackPixelChannel:
{
magnitude_pixels[i]=QuantumScale*(double)
GetPixelBlack(magnitude_image,p);
break;
}
case AlphaPixelChannel:
{
magnitude_pixels[i]=QuantumScale*(double)
GetPixelAlpha(magnitude_image,p);
break;
}
}
i++;
p+=(ptrdiff_t) GetPixelChannels(magnitude_image);
}
}
magnitude_view=DestroyCacheView(magnitude_view);
status=InverseQuadrantSwap(fourier_info->width,fourier_info->height,
magnitude_pixels,inverse_pixels);
(void) memcpy(magnitude_pixels,inverse_pixels,fourier_info->height*
fourier_info->center*sizeof(*magnitude_pixels));
i=0L;
phase_view=AcquireVirtualCacheView(phase_image,exception);
for (y=0L; y < (ssize_t) fourier_info->height; y++)
{
p=GetCacheViewVirtualPixels(phase_view,0,y,fourier_info->width,1,
exception);
if (p == (const Quantum *) NULL)
break;
for (x=0L; x < (ssize_t) fourier_info->width; x++)
{
switch (fourier_info->channel)
{
case RedPixelChannel:
default:
{
phase_pixels[i]=QuantumScale*(double) GetPixelRed(phase_image,p);
break;
}
case GreenPixelChannel:
{
phase_pixels[i]=QuantumScale*(double) GetPixelGreen(phase_image,p);
break;
}
case BluePixelChannel:
{
phase_pixels[i]=QuantumScale*(double) GetPixelBlue(phase_image,p);
break;
}
case BlackPixelChannel:
{
phase_pixels[i]=QuantumScale*(double) GetPixelBlack(phase_image,p);
break;
}
case AlphaPixelChannel:
{
phase_pixels[i]=QuantumScale*(double) GetPixelAlpha(phase_image,p);
break;
}
}
i++;
p+=(ptrdiff_t) GetPixelChannels(phase_image);
}
}
if (fourier_info->modulus != MagickFalse)
{
i=0L;
for (y=0L; y < (ssize_t) fourier_info->height; y++)
for (x=0L; x < (ssize_t) fourier_info->width; x++)
{
phase_pixels[i]-=0.5;
phase_pixels[i]*=(2.0*MagickPI);
i++;
}
}
phase_view=DestroyCacheView(phase_view);
CorrectPhaseLHS(fourier_info->width,fourier_info->height,phase_pixels);
if (status != MagickFalse)
status=InverseQuadrantSwap(fourier_info->width,fourier_info->height,
phase_pixels,inverse_pixels);
(void) memcpy(phase_pixels,inverse_pixels,fourier_info->height*
fourier_info->center*sizeof(*phase_pixels));
inverse_info=RelinquishVirtualMemory(inverse_info);
/*
Merge two sets.
*/
i=0L;
if (fourier_info->modulus != MagickFalse)
for (y=0L; y < (ssize_t) fourier_info->height; y++)
for (x=0L; x < (ssize_t) fourier_info->center; x++)
{
#if defined(MAGICKCORE_HAVE_COMPLEX_H)
fourier_pixels[i]=magnitude_pixels[i]*cos(phase_pixels[i])+I*
magnitude_pixels[i]*sin(phase_pixels[i]);
#else
fourier_pixels[i][0]=magnitude_pixels[i]*cos(phase_pixels[i]);
fourier_pixels[i][1]=magnitude_pixels[i]*sin(phase_pixels[i]);
#endif
i++;
}
else
for (y=0L; y < (ssize_t) fourier_info->height; y++)
for (x=0L; x < (ssize_t) fourier_info->center; x++)
{
#if defined(MAGICKCORE_HAVE_COMPLEX_H)
fourier_pixels[i]=magnitude_pixels[i]+I*phase_pixels[i];
#else
fourier_pixels[i][0]=magnitude_pixels[i];
fourier_pixels[i][1]=phase_pixels[i];
#endif
i++;
}
magnitude_info=RelinquishVirtualMemory(magnitude_info);
phase_info=RelinquishVirtualMemory(phase_info);
return(status);
}
static MagickBooleanType InverseFourierTransform(FourierInfo *fourier_info,
fftw_complex *fourier_pixels,Image *image,ExceptionInfo *exception)
{
CacheView
*image_view;
const char
*value;
double
*source_pixels;
fftw_plan
fftw_c2r_plan;
MemoryInfo
*source_info;
Quantum
*q;
ssize_t
i,
x,
y;
/*
Generate the inverse Fourier transform.
*/
if ((fourier_info->width >= INT_MAX) || (fourier_info->height >= INT_MAX))
{
(void) ThrowMagickException(exception,GetMagickModule(),ImageError,
"WidthOrHeightExceedsLimit","`%s'",image->filename);
return(MagickFalse);
}
source_info=AcquireVirtualMemory(fourier_info->width,fourier_info->height*
sizeof(*source_pixels));
if (source_info == (MemoryInfo *) NULL)
{
(void) ThrowMagickException(exception,GetMagickModule(),
ResourceLimitError,"MemoryAllocationFailed","`%s'",image->filename);
return(MagickFalse);
}
source_pixels=(double *) GetVirtualMemoryBlob(source_info);
value=GetImageArtifact(image,"fourier:normalize");
if (LocaleCompare(value,"inverse") == 0)
{
double
gamma;
/*
Normalize inverse transform.
*/
i=0L;
gamma=MagickSafeReciprocal((double) fourier_info->width*
fourier_info->height);
for (y=0L; y < (ssize_t) fourier_info->height; y++)
for (x=0L; x < (ssize_t) fourier_info->center; x++)
{
#if defined(MAGICKCORE_HAVE_COMPLEX_H)
fourier_pixels[i]*=gamma;
#else
fourier_pixels[i][0]*=gamma;
fourier_pixels[i][1]*=gamma;
#endif
i++;
}
}
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp critical (MagickCore_InverseFourierTransform)
#endif
fftw_c2r_plan=fftw_plan_dft_c2r_2d((int) fourier_info->width,
(int) fourier_info->height,fourier_pixels,source_pixels,FFTW_ESTIMATE);
fftw_execute_dft_c2r(fftw_c2r_plan,fourier_pixels,source_pixels);
fftw_destroy_plan(fftw_c2r_plan);
i=0L;
image_view=AcquireAuthenticCacheView(image,exception);
for (y=0L; y < (ssize_t) fourier_info->height; y++)
{
if (y >= (ssize_t) image->rows)
break;
q=GetCacheViewAuthenticPixels(image_view,0L,y,fourier_info->width >
image->columns ? image->columns : fourier_info->width,1UL,exception);
if (q == (Quantum *) NULL)
break;
for (x=0L; x < (ssize_t) fourier_info->width; x++)
{
if (x < (ssize_t) image->columns)
switch (fourier_info->channel)
{
case RedPixelChannel:
default:
{
SetPixelRed(image,ClampToQuantum((double) QuantumRange*
source_pixels[i]),q);
break;
}
case GreenPixelChannel:
{
SetPixelGreen(image,ClampToQuantum((double) QuantumRange*
source_pixels[i]),q);
break;
}
case BluePixelChannel:
{
SetPixelBlue(image,ClampToQuantum((double) QuantumRange*
source_pixels[i]),q);
break;
}
case BlackPixelChannel:
{
SetPixelBlack(image,ClampToQuantum((double) QuantumRange*
source_pixels[i]),q);
break;
}
case AlphaPixelChannel:
{
SetPixelAlpha(image,ClampToQuantum((double) QuantumRange*
source_pixels[i]),q);
break;
}
}
i++;
q+=(ptrdiff_t) GetPixelChannels(image);
}
if (SyncCacheViewAuthenticPixels(image_view,exception) == MagickFalse)
break;
}
image_view=DestroyCacheView(image_view);
source_info=RelinquishVirtualMemory(source_info);
return(MagickTrue);
}
static MagickBooleanType InverseFourierTransformChannel(
const Image *magnitude_image,const Image *phase_image,
const PixelChannel channel,const MagickBooleanType modulus,
Image *fourier_image,ExceptionInfo *exception)
{
fftw_complex
*inverse_pixels;
FourierInfo
fourier_info;
MagickBooleanType
status;
MemoryInfo
*inverse_info;
fourier_info.width=magnitude_image->columns;
fourier_info.height=magnitude_image->rows;
if ((magnitude_image->columns != magnitude_image->rows) ||
((magnitude_image->columns % 2) != 0) ||
((magnitude_image->rows % 2) != 0))
{
size_t extent=magnitude_image->columns < magnitude_image->rows ?
magnitude_image->rows : magnitude_image->columns;
fourier_info.width=(extent & 0x01) == 1 ? extent+1UL : extent;
}
fourier_info.height=fourier_info.width;
fourier_info.center=fourier_info.width/2+1;
fourier_info.channel=channel;
fourier_info.modulus=modulus;
inverse_info=AcquireVirtualMemory(fourier_info.width,(fourier_info.height/2+
1)*sizeof(*inverse_pixels));
if (inverse_info == (MemoryInfo *) NULL)
{
(void) ThrowMagickException(exception,GetMagickModule(),
ResourceLimitError,"MemoryAllocationFailed","`%s'",
magnitude_image->filename);
return(MagickFalse);
}
inverse_pixels=(fftw_complex *) GetVirtualMemoryBlob(inverse_info);
status=InverseFourier(&fourier_info,magnitude_image,phase_image,
inverse_pixels,exception);
if (status != MagickFalse)
status=InverseFourierTransform(&fourier_info,inverse_pixels,fourier_image,
exception);
inverse_info=RelinquishVirtualMemory(inverse_info);
return(status);
}
#endif
MagickExport Image *InverseFourierTransformImage(const Image *magnitude_image,
const Image *phase_image,const MagickBooleanType modulus,
ExceptionInfo *exception)
{
Image
*fourier_image;
assert(magnitude_image != (Image *) NULL);
assert(magnitude_image->signature == MagickCoreSignature);
if (IsEventLogging() != MagickFalse)
(void) LogMagickEvent(TraceEvent,GetMagickModule(),"%s",
magnitude_image->filename);
if (phase_image == (Image *) NULL)
{
(void) ThrowMagickException(exception,GetMagickModule(),ImageError,
"ImageSequenceRequired","`%s'",magnitude_image->filename);
return((Image *) NULL);
}
#if !defined(ENABLE_FFTW_DELEGATE)
fourier_image=(Image *) NULL;
(void) modulus;
(void) ThrowMagickException(exception,GetMagickModule(),
MissingDelegateWarning,"DelegateLibrarySupportNotBuiltIn","`%s' (FFTW)",
magnitude_image->filename);
#else
{
fourier_image=CloneImage(magnitude_image,magnitude_image->columns,
magnitude_image->rows,MagickTrue,exception);
if (fourier_image != (Image *) NULL)
{
MagickBooleanType
is_gray,
status;
status=MagickTrue;
is_gray=IsImageGray(magnitude_image);
if (is_gray != MagickFalse)
is_gray=IsImageGray(phase_image);
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp parallel sections
#endif
{
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp section
#endif
{
MagickBooleanType
thread_status;
if (is_gray != MagickFalse)
thread_status=InverseFourierTransformChannel(magnitude_image,
phase_image,GrayPixelChannel,modulus,fourier_image,exception);
else
thread_status=InverseFourierTransformChannel(magnitude_image,
phase_image,RedPixelChannel,modulus,fourier_image,exception);
if (thread_status == MagickFalse)
status=thread_status;
}
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp section
#endif
{
MagickBooleanType
thread_status;
thread_status=MagickTrue;
if (is_gray == MagickFalse)
thread_status=InverseFourierTransformChannel(magnitude_image,
phase_image,GreenPixelChannel,modulus,fourier_image,exception);
if (thread_status == MagickFalse)
status=thread_status;
}
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp section
#endif
{
MagickBooleanType
thread_status;
thread_status=MagickTrue;
if (is_gray == MagickFalse)
thread_status=InverseFourierTransformChannel(magnitude_image,
phase_image,BluePixelChannel,modulus,fourier_image,exception);
if (thread_status == MagickFalse)
status=thread_status;
}
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp section
#endif
{
MagickBooleanType
thread_status;
thread_status=MagickTrue;
if (magnitude_image->colorspace == CMYKColorspace)
thread_status=InverseFourierTransformChannel(magnitude_image,
phase_image,BlackPixelChannel,modulus,fourier_image,exception);
if (thread_status == MagickFalse)
status=thread_status;
}
#if defined(MAGICKCORE_OPENMP_SUPPORT)
#pragma omp section
#endif
{
MagickBooleanType
thread_status;
thread_status=MagickTrue;
if (magnitude_image->alpha_trait != UndefinedPixelTrait)
thread_status=InverseFourierTransformChannel(magnitude_image,
phase_image,AlphaPixelChannel,modulus,fourier_image,exception);
if (thread_status == MagickFalse)
status=thread_status;
}
}
if (status == MagickFalse)
fourier_image=DestroyImage(fourier_image);
}
fftw_cleanup();
}
#endif
return(fourier_image);
}
_FourierInfo
Definition fourier.c:94