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/** \file
* \brief Fast Fourier Transform using FFTW library
*
* See Copyright Notice in im_lib.h
* $Id: im_fft.cpp,v 1.2 2009/08/20 12:37:11 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
}
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