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authorscuri <scuri>2008-10-17 06:10:15 +0000
committerscuri <scuri>2008-10-17 06:10:15 +0000
commit5a422aba704c375a307a902bafe658342e209906 (patch)
tree5005011e086bb863d8fb587ad3319bbec59b2447 /src/process/im_fft.cpp
First commit - moving from LuaForge to SourceForge
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diff --git a/src/process/im_fft.cpp b/src/process/im_fft.cpp
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+/** \file
+ * \brief Fast Fourier Transform using FFTW library
+ *
+ * Comments only for FFTW 3:
+ *
+ * Where used only non optimal file for better portability.
+ * You must change the makefile to add other files.
+ *
+ * Duplicated files: buffered.c conf.c direct.c indirect.c generic.c
+ * nop.c plan.c problem.c rader.c rank0.c rank-geq2.c
+ * vrank-geq1.c solve.c ct.c codlist.c
+ * These were renamed to "r*" when in the rdft folder, and to "k*" when in the kernel folder.
+ *
+ * New File: api\config.h
+ *
+ * From the FTW manual:
+\verbatim
+ "FFTW is best at handling sizes of the form 2a 3b 5c 7d 11e 13f,
+ where e+f is either 0 or 1, and the other exponents are arbitrary.
+ Other sizes are computed by means of a slow,
+ general-purpose algorithm (which nevertheless retains O(n log n)."
+\endverbatim
+ *
+ * See Copyright Notice in im_lib.h
+ * $Id: im_fft.cpp,v 1.1 2008/10/17 06:16:33 scuri Exp $
+ */
+
+#include <im.h>
+#include <im_util.h>
+#include <im_complex.h>
+#include <im_convert.h>
+
+#include "im_process.h"
+
+#include <stdlib.h>
+#include <assert.h>
+#include <memory.h>
+
+#ifdef USE_FFTW3
+#include "fftw3.h"
+#else
+#include "fftw.h"
+#endif
+
+static void iCopyCol(imcfloat *map1, imcfloat *map2, int height, int width1, int width2)
+{
+ int i;
+ for(i = 0; i < height; i++)
+ {
+ *map1 = *map2;
+ map1 += width1;
+ map2 += width2;
+ }
+}
+
+static void iCenterFFT(imcfloat *map, int width, int height, int inverse)
+{
+ imcfloat *map1, *map2, *map3, *tmp;
+ int i, half1_width, half2_width, half1_height, half2_height;
+
+ if (inverse)
+ {
+ half1_width = width/2;
+ half1_height = height/2;
+
+ half2_width = (width+1)/2;
+ half2_height = (height+1)/2;
+ }
+ else
+ {
+ half1_width = (width+1)/2;
+ half1_height = (height+1)/2;
+
+ half2_width = width/2;
+ half2_height = height/2;
+ }
+
+ tmp = (imcfloat*)malloc(half1_width*sizeof(imcfloat));
+
+ map1 = map;
+ map2 = map + half1_width;
+ map3 = map + half2_width;
+ for(i = 0; i < height; i++)
+ {
+ memcpy(tmp, map1, half1_width*sizeof(imcfloat));
+ memcpy(map1, map2, half2_width*sizeof(imcfloat));
+ memcpy(map3, tmp, half1_width*sizeof(imcfloat));
+
+ map1 += width;
+ map2 += width;
+ map3 += width;
+ }
+
+ free(tmp);
+
+ tmp = (imcfloat*)malloc(half1_height*sizeof(imcfloat));
+
+ map1 = map;
+ map2 = map + half1_height*width;
+ map3 = map + half2_height*width;
+ for(i = 0; i < width; i++)
+ {
+ iCopyCol(tmp, map1, half1_height, 1, width);
+ iCopyCol(map1, map2, half2_height, width, width);
+ iCopyCol(map3, tmp, half1_height, width, 1);
+
+ map1++;
+ map2++;
+ map3++;
+ }
+
+ free(tmp);
+}
+
+static void iDoFFT(void *map, int width, int height, int inverse, int center, int normalize)
+{
+ if (inverse && center)
+ iCenterFFT((imcfloat*)map, width, height, inverse);
+
+#ifdef USE_FFTW3
+ fftwf_plan plan = fftwf_plan_dft_2d(height, width,
+ (fftwf_complex*)map, (fftwf_complex*)map, // in-place transform
+ inverse?FFTW_BACKWARD:FFTW_FORWARD, FFTW_ESTIMATE);
+ fftwf_execute(plan);
+ fftwf_destroy_plan(plan);
+#else
+ fftwnd_plan plan = fftw2d_create_plan(height, width, inverse?FFTW_BACKWARD:FFTW_FORWARD, FFTW_ESTIMATE|FFTW_IN_PLACE);
+ fftwnd(plan, 1, (FFTW_COMPLEX*)map, 1, 0, 0, 0, 0);
+ fftwnd_destroy_plan(plan);
+#endif
+
+ if (!inverse && center)
+ iCenterFFT((imcfloat*)map, width, height, inverse);
+
+ if (normalize)
+ {
+ float NM = (float)(width * height);
+ int count = (int)(2*NM);
+
+ if (normalize == 1)
+ NM = (float)sqrt(NM);
+
+ float *fmap = (float*)map;
+ for (int i = 0; i < count; i++)
+ *fmap++ /= NM;
+ }
+}
+
+void imProcessSwapQuadrants(imImage* image, int inverse)
+{
+ for (int i = 0; i < image->depth; i++)
+ iCenterFFT((imcfloat*)image->data[i], image->width, image->height, inverse);
+}
+
+void imProcessFFTraw(imImage* image, int inverse, int center, int normalize)
+{
+ for (int i = 0; i < image->depth; i++)
+ iDoFFT(image->data[i], image->width, image->height, inverse, center, normalize);
+}
+
+void imProcessFFT(const imImage* src_image, imImage* dst_image)
+{
+ if (src_image->data_type != IM_CFLOAT)
+ imConvertDataType(src_image, dst_image, 0, 0, 0, 0);
+ else
+ imImageCopy(src_image, dst_image);
+
+ imProcessFFTraw(dst_image, 0, 1, 0); // forward, centered, unnormalized
+}
+
+void imProcessIFFT(const imImage* src_image, imImage* dst_image)
+{
+ imImageCopy(src_image, dst_image);
+
+ imProcessFFTraw(dst_image, 1, 1, 2); // inverse, uncentered, double normalized
+}
+
+void imProcessCrossCorrelation(const imImage* src_image1, const imImage* src_image2, imImage* dst_image)
+{
+ imImage *tmp_image = imImageCreate(src_image2->width, src_image2->height, src_image2->color_space, IM_CFLOAT);
+ if (!tmp_image)
+ return;
+
+ if (src_image2->data_type != IM_CFLOAT)
+ imConvertDataType(src_image2, tmp_image, 0, 0, 0, 0);
+ else
+ imImageCopy(src_image2, tmp_image);
+
+ if (src_image1->data_type != IM_CFLOAT)
+ imConvertDataType(src_image1, dst_image, 0, 0, 0, 0);
+ else
+ imImageCopy(src_image1, dst_image);
+
+ imProcessFFTraw(tmp_image, 0, 1, 1); // forward, centered, normalized
+ imProcessFFTraw(dst_image, 0, 1, 1);
+
+ imProcessMultiplyConj(dst_image, tmp_image, dst_image);
+
+ imProcessFFTraw(dst_image, 1, 1, 1); // inverse, uncentered, normalized
+ imProcessSwapQuadrants(dst_image, 0); // from origin to center
+
+ imImageDestroy(tmp_image);
+}
+
+void imProcessAutoCorrelation(const imImage* src_image, imImage* dst_image)
+{
+ if (src_image->data_type != IM_CFLOAT)
+ imConvertDataType(src_image, dst_image, 0, 0, 0, 0);
+ else
+ imImageCopy(src_image, dst_image);
+
+ imProcessFFTraw(dst_image, 0, 0, 1); // forward, at origin, normalized
+
+ imProcessMultiplyConj(dst_image, dst_image, dst_image);
+
+ imProcessFFTraw(dst_image, 1, 0, 1); // inverse, at origin, normalized
+ imProcessSwapQuadrants(dst_image, 0); // from origin to center
+}