1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
|
/** \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
}
|
