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
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
// This file is part of OpenCV project.
// It is subject to the license terms in the LICENSE file found in the top-level directory
// of this distribution and at http://opencv.org/license.html.
#define EPS 0.001f
#define INF 1E+10F
__kernel void dis_precomputeStructureTensor_hor(__global const short *I0x,
__global const short *I0y,
int patch_size, int patch_stride,
int w, int h, int ws,
__global float *I0xx_aux_ptr,
__global float *I0yy_aux_ptr,
__global float *I0xy_aux_ptr,
__global float *I0x_aux_ptr,
__global float *I0y_aux_ptr)
{
int i = get_global_id(0);
if (i >= h) return;
const __global short *x_row = I0x + i * w;
const __global short *y_row = I0y + i * w;
float sum_xx = 0.0f, sum_yy = 0.0f, sum_xy = 0.0f, sum_x = 0.0f, sum_y = 0.0f;
float8 x_vec = convert_float8(vload8(0, x_row));
float8 y_vec = convert_float8(vload8(0, y_row));
sum_xx = dot(x_vec.lo, x_vec.lo) + dot(x_vec.hi, x_vec.hi);
sum_yy = dot(y_vec.lo, y_vec.lo) + dot(y_vec.hi, y_vec.hi);
sum_xy = dot(x_vec.lo, y_vec.lo) + dot(x_vec.hi, y_vec.hi);
sum_x = dot(x_vec.lo, 1.0f) + dot(x_vec.hi, 1.0f);
sum_y = dot(y_vec.lo, 1.0f) + dot(y_vec.hi, 1.0f);
I0xx_aux_ptr[i * ws] = sum_xx;
I0yy_aux_ptr[i * ws] = sum_yy;
I0xy_aux_ptr[i * ws] = sum_xy;
I0x_aux_ptr[i * ws] = sum_x;
I0y_aux_ptr[i * ws] = sum_y;
int js = 1;
for (int j = patch_size; j < w; j++)
{
short x_val1 = x_row[j];
short x_val2 = x_row[j - patch_size];
short y_val1 = y_row[j];
short y_val2 = y_row[j - patch_size];
sum_xx += (x_val1 * x_val1 - x_val2 * x_val2);
sum_yy += (y_val1 * y_val1 - y_val2 * y_val2);
sum_xy += (x_val1 * y_val1 - x_val2 * y_val2);
sum_x += (x_val1 - x_val2);
sum_y += (y_val1 - y_val2);
if ((j - patch_size + 1) % patch_stride == 0)
{
int index = i * ws + js;
I0xx_aux_ptr[index] = sum_xx;
I0yy_aux_ptr[index] = sum_yy;
I0xy_aux_ptr[index] = sum_xy;
I0x_aux_ptr[index] = sum_x;
I0y_aux_ptr[index] = sum_y;
js++;
}
}
}
__kernel void dis_precomputeStructureTensor_ver(__global const float *I0xx_aux_ptr,
__global const float *I0yy_aux_ptr,
__global const float *I0xy_aux_ptr,
__global const float *I0x_aux_ptr,
__global const float *I0y_aux_ptr,
int patch_size, int patch_stride,
int w, int h, int ws,
__global float *I0xx_ptr,
__global float *I0yy_ptr,
__global float *I0xy_ptr,
__global float *I0x_ptr,
__global float *I0y_ptr)
{
int j = get_global_id(0);
if (j >= ws) return;
float sum_xx, sum_yy, sum_xy, sum_x, sum_y;
sum_xx = sum_yy = sum_xy = sum_x = sum_y = 0.0f;
for (int i = 0; i < patch_size; i++)
{
sum_xx += I0xx_aux_ptr[i * ws + j];
sum_yy += I0yy_aux_ptr[i * ws + j];
sum_xy += I0xy_aux_ptr[i * ws + j];
sum_x += I0x_aux_ptr[i * ws + j];
sum_y += I0y_aux_ptr[i * ws + j];
}
I0xx_ptr[j] = sum_xx;
I0yy_ptr[j] = sum_yy;
I0xy_ptr[j] = sum_xy;
I0x_ptr[j] = sum_x;
I0y_ptr[j] = sum_y;
int is = 1;
for (int i = patch_size; i < h; i++)
{
sum_xx += (I0xx_aux_ptr[i * ws + j] - I0xx_aux_ptr[(i - patch_size) * ws + j]);
sum_yy += (I0yy_aux_ptr[i * ws + j] - I0yy_aux_ptr[(i - patch_size) * ws + j]);
sum_xy += (I0xy_aux_ptr[i * ws + j] - I0xy_aux_ptr[(i - patch_size) * ws + j]);
sum_x += (I0x_aux_ptr[i * ws + j] - I0x_aux_ptr[(i - patch_size) * ws + j]);
sum_y += (I0y_aux_ptr[i * ws + j] - I0y_aux_ptr[(i - patch_size) * ws + j]);
if ((i - patch_size + 1) % patch_stride == 0)
{
I0xx_ptr[is * ws + j] = sum_xx;
I0yy_ptr[is * ws + j] = sum_yy;
I0xy_ptr[is * ws + j] = sum_xy;
I0x_ptr[is * ws + j] = sum_x;
I0y_ptr[is * ws + j] = sum_y;
is++;
}
}
}
__kernel void dis_densification(__global const float *sx, __global const float *sy,
__global const uchar *i0, __global const uchar *i1,
int psz, int pstr,
int w, int h, int ws,
__global float *ux, __global float *uy)
{
int x = get_global_id(0);
int y = get_global_id(1);
int i, j;
if (x >= w || y >= h) return;
int start_is, end_is;
int start_js, end_js;
end_is = min(y / pstr, (h - psz) / pstr);
start_is = max(0, y - psz + pstr) / pstr;
start_is = min(start_is, end_is);
end_js = min(x / pstr, (w - psz) / pstr);
start_js = max(0, x - psz + pstr) / pstr;
start_js = min(start_js, end_js);
float coef, sum_coef = 0.0f;
float sum_Ux = 0.0f;
float sum_Uy = 0.0f;
int i_l, i_u;
int j_l, j_u;
float i_m, j_m, diff;
i = y;
j = x;
/* Iterate through all the patches that overlap the current location (i,j) */
for (int is = start_is; is <= end_is; is++)
for (int js = start_js; js <= end_js; js++)
{
float sx_val = sx[is * ws + js];
float sy_val = sy[is * ws + js];
uchar2 i1_vec1, i1_vec2;
j_m = min(max(j + sx_val, 0.0f), w - 1.0f - EPS);
i_m = min(max(i + sy_val, 0.0f), h - 1.0f - EPS);
j_l = (int)j_m;
j_u = j_l + 1;
i_l = (int)i_m;
i_u = i_l + 1;
i1_vec1 = vload2(0, i1 + i_u * w + j_l);
i1_vec2 = vload2(0, i1 + i_l * w + j_l);
diff = (j_m - j_l) * (i_m - i_l) * i1_vec1.y +
(j_u - j_m) * (i_m - i_l) * i1_vec1.x +
(j_m - j_l) * (i_u - i_m) * i1_vec2.y +
(j_u - j_m) * (i_u - i_m) * i1_vec2.x - i0[i * w + j];
coef = 1 / max(1.0f, fabs(diff));
sum_Ux += coef * sx_val;
sum_Uy += coef * sy_val;
sum_coef += coef;
}
ux[i * w + j] = sum_Ux / sum_coef;
uy[i * w + j] = sum_Uy / sum_coef;
}
#define INIT_BILINEAR_WEIGHTS(Ux, Uy) \
i_I1 = min(max(i + Uy + bsz, i_lower_limit), i_upper_limit); \
j_I1 = min(max(j + Ux + bsz, j_lower_limit), j_upper_limit); \
\
w11 = (i_I1 - floor(i_I1)) * (j_I1 - floor(j_I1)); \
w10 = (i_I1 - floor(i_I1)) * (floor(j_I1) + 1 - j_I1); \
w01 = (floor(i_I1) + 1 - i_I1) * (j_I1 - floor(j_I1)); \
w00 = (floor(i_I1) + 1 - i_I1) * (floor(j_I1) + 1 - j_I1);
float computeSSDMeanNorm(const __global uchar *I0_ptr, const __global uchar *I1_ptr,
int I0_stride, int I1_stride,
float w00, float w01, float w10, float w11, int patch_sz, int i)
{
float sum_diff = 0.0f, sum_diff_sq = 0.0f;
int n = patch_sz * patch_sz;
uchar8 I1_vec1, I1_vec2, I0_vec;
uchar I1_val1, I1_val2;
I0_vec = vload8(0, I0_ptr + i * I0_stride);
I1_vec1 = vload8(0, I1_ptr + i * I1_stride);
I1_vec2 = vload8(0, I1_ptr + (i + 1) * I1_stride);
I1_val1 = I1_ptr[i * I1_stride + 8];
I1_val2 = I1_ptr[(i + 1) * I1_stride + 8];
float8 vec = w00 * convert_float8(I1_vec1) + w01 * convert_float8((uchar8)(I1_vec1.s123, I1_vec1.s4567, I1_val1)) +
w10 * convert_float8(I1_vec2) + w11 * convert_float8((uchar8)(I1_vec2.s123, I1_vec2.s4567, I1_val2)) -
convert_float8(I0_vec);
sum_diff = (dot(vec.lo, 1.0) + dot(vec.hi, 1.0));
sum_diff_sq = (dot(vec.lo, vec.lo) + dot(vec.hi, vec.hi));
sum_diff = sub_group_reduce_add(sum_diff);
sum_diff_sq = sub_group_reduce_add(sum_diff_sq);
return sum_diff_sq - sum_diff * sum_diff / n;
}
__kernel void dis_patch_inverse_search_fwd_1(__global const float *Ux_ptr, __global const float *Uy_ptr,
__global const uchar *I0_ptr, __global const uchar *I1_ptr,
int border_size, int patch_size, int patch_stride,
int w, int h, int ws, int hs, int pyr_level,
__global float *Sx_ptr, __global float *Sy_ptr)
{
int id = get_global_id(0);
int is = id / 8;
if (id >= (hs * 8)) return;
int i = is * patch_stride;
int j = 0;
int psz = patch_size;
int psz2 = psz / 2;
int w_ext = w + 2 * border_size;
int bsz = border_size;
float i_lower_limit = bsz - psz + 1.0f;
float i_upper_limit = bsz + h - 1.0f;
float j_lower_limit = bsz - psz + 1.0f;
float j_upper_limit = bsz + w - 1.0f;
float i_I1, j_I1, w00, w01, w10, w11;
float prev_Ux = Ux_ptr[(i + psz2) * w + j + psz2];
float prev_Uy = Uy_ptr[(i + psz2) * w + j + psz2];
Sx_ptr[is * ws] = prev_Ux;
Sy_ptr[is * ws] = prev_Uy;
j += patch_stride;
int sid = get_sub_group_local_id();
for (int js = 1; js < ws; js++, j += patch_stride)
{
float min_SSD, cur_SSD;
float Ux = Ux_ptr[(i + psz2) * w + j + psz2];
float Uy = Uy_ptr[(i + psz2) * w + j + psz2];
INIT_BILINEAR_WEIGHTS(Ux, Uy);
min_SSD = computeSSDMeanNorm(I0_ptr + i * w + j, I1_ptr + (int)i_I1 * w_ext + (int)j_I1,
w, w_ext, w00, w01, w10, w11, psz, sid);
INIT_BILINEAR_WEIGHTS(prev_Ux, prev_Uy);
cur_SSD = computeSSDMeanNorm(I0_ptr + i * w + j, I1_ptr + (int)i_I1 * w_ext + (int)j_I1,
w, w_ext, w00, w01, w10, w11, psz, sid);
if (cur_SSD < min_SSD)
{
Ux = prev_Ux;
Uy = prev_Uy;
}
prev_Ux = Ux;
prev_Uy = Uy;
Sx_ptr[is * ws + js] = Ux;
Sy_ptr[is * ws + js] = Uy;
}
}
float3 processPatchMeanNorm(const __global uchar *I0_ptr, const __global uchar *I1_ptr,
const __global short *I0x_ptr, const __global short *I0y_ptr,
int I0_stride, int I1_stride, float w00, float w01, float w10,
float w11, int patch_sz, float x_grad_sum, float y_grad_sum)
{
float sum_diff = 0.0, sum_diff_sq = 0.0;
float sum_I0x_mul = 0.0, sum_I0y_mul = 0.0;
int n = patch_sz * patch_sz;
uchar8 I1_vec1, I1_vec2;
uchar I1_val1, I1_val2;
for (int i = 0; i < 8; i++)
{
uchar8 I0_vec = vload8(0, I0_ptr + i * I0_stride);
I1_vec1 = (i == 0) ? vload8(0, I1_ptr + i * I1_stride) : I1_vec2;
I1_vec2 = vload8(0, I1_ptr + (i + 1) * I1_stride);
I1_val1 = (i == 0) ? I1_ptr[i * I1_stride + patch_sz] : I1_val2;
I1_val2 = I1_ptr[(i + 1) * I1_stride + patch_sz];
float8 vec = w00 * convert_float8(I1_vec1) + w01 * convert_float8((uchar8)(I1_vec1.s123, I1_vec1.s4567, I1_val1)) +
w10 * convert_float8(I1_vec2) + w11 * convert_float8((uchar8)(I1_vec2.s123, I1_vec2.s4567, I1_val2)) -
convert_float8(I0_vec);
sum_diff += (dot(vec.lo, 1.0) + dot(vec.hi, 1.0));
sum_diff_sq += (dot(vec.lo, vec.lo) + dot(vec.hi, vec.hi));
short8 I0x_vec = vload8(0, I0x_ptr + i * I0_stride);
short8 I0y_vec = vload8(0, I0y_ptr + i * I0_stride);
sum_I0x_mul += dot(vec.lo, convert_float4(I0x_vec.lo));
sum_I0x_mul += dot(vec.hi, convert_float4(I0x_vec.hi));
sum_I0y_mul += dot(vec.lo, convert_float4(I0y_vec.lo));
sum_I0y_mul += dot(vec.hi, convert_float4(I0y_vec.hi));
}
float dst_dUx = sum_I0x_mul - sum_diff * x_grad_sum / n;
float dst_dUy = sum_I0y_mul - sum_diff * y_grad_sum / n;
float SSD = sum_diff_sq - sum_diff * sum_diff / n;
return (float3)(SSD, dst_dUx, dst_dUy);
}
__kernel void dis_patch_inverse_search_fwd_2(__global const float *Ux_ptr, __global const float *Uy_ptr,
__global const uchar *I0_ptr, __global const uchar *I1_ptr,
__global const short *I0x_ptr, __global const short *I0y_ptr,
__global const float *xx_ptr, __global const float *yy_ptr,
__global const float *xy_ptr,
__global const float *x_ptr, __global const float *y_ptr,
int border_size, int patch_size, int patch_stride,
int w, int h, int ws, int hs, int num_inner_iter, int pyr_level,
__global float *Sx_ptr, __global float *Sy_ptr)
{
int js = get_global_id(0);
int is = get_global_id(1);
int i = is * patch_stride;
int j = js * patch_stride;
int psz = patch_size;
int psz2 = psz / 2;
int w_ext = w + 2 * border_size;
int bsz = border_size;
int index = is * ws + js;
if (js >= ws || is >= hs) return;
float Ux = Sx_ptr[index];
float Uy = Sy_ptr[index];
float cur_Ux = Ux;
float cur_Uy = Uy;
float cur_xx = xx_ptr[index];
float cur_yy = yy_ptr[index];
float cur_xy = xy_ptr[index];
float detH = cur_xx * cur_yy - cur_xy * cur_xy;
if (fabs(detH) < EPS) detH = EPS;
float invH11 = cur_yy / detH;
float invH12 = -cur_xy / detH;
float invH22 = cur_xx / detH;
float prev_SSD = INF, SSD;
float x_grad_sum = x_ptr[index];
float y_grad_sum = y_ptr[index];
float i_lower_limit = bsz - psz + 1.0f;
float i_upper_limit = bsz + h - 1.0f;
float j_lower_limit = bsz - psz + 1.0f;
float j_upper_limit = bsz + w - 1.0f;
float dUx, dUy, i_I1, j_I1, w00, w01, w10, w11, dx, dy;
float3 res;
for (int t = 0; t < num_inner_iter; t++)
{
INIT_BILINEAR_WEIGHTS(cur_Ux, cur_Uy);
res = processPatchMeanNorm(I0_ptr + i * w + j,
I1_ptr + (int)i_I1 * w_ext + (int)j_I1, I0x_ptr + i * w + j,
I0y_ptr + i * w + j, w, w_ext, w00, w01, w10, w11, psz,
x_grad_sum, y_grad_sum);
SSD = res.x;
dUx = res.y;
dUy = res.z;
dx = invH11 * dUx + invH12 * dUy;
dy = invH12 * dUx + invH22 * dUy;
cur_Ux -= dx;
cur_Uy -= dy;
if (SSD >= prev_SSD)
break;
prev_SSD = SSD;
}
float2 vec = (float2)(cur_Ux - Ux, cur_Uy - Uy);
if (dot(vec, vec) <= (float)(psz * psz))
{
Sx_ptr[index] = cur_Ux;
Sy_ptr[index] = cur_Uy;
}
}
__kernel void dis_patch_inverse_search_bwd_1(__global const uchar *I0_ptr, __global const uchar *I1_ptr,
int border_size, int patch_size, int patch_stride,
int w, int h, int ws, int hs, int pyr_level,
__global float *Sx_ptr, __global float *Sy_ptr)
{
int id = get_global_id(0);
int is = id / 8;
if (id >= (hs * 8)) return;
is = (hs - 1 - is);
int i = is * patch_stride;
int j = (ws - 2) * patch_stride;
int psz = patch_size;
int psz2 = psz / 2;
int w_ext = w + 2 * border_size;
int bsz = border_size;
float i_lower_limit = bsz - psz + 1.0f;
float i_upper_limit = bsz + h - 1.0f;
float j_lower_limit = bsz - psz + 1.0f;
float j_upper_limit = bsz + w - 1.0f;
float i_I1, j_I1, w00, w01, w10, w11;
int sid = get_sub_group_local_id();
for (int js = (ws - 2); js > -1; js--, j -= patch_stride)
{
float min_SSD, cur_SSD;
float2 Ux = vload2(0, Sx_ptr + is * ws + js);
float2 Uy = vload2(0, Sy_ptr + is * ws + js);
INIT_BILINEAR_WEIGHTS(Ux.x, Uy.x);
min_SSD = computeSSDMeanNorm(I0_ptr + i * w + j, I1_ptr + (int)i_I1 * w_ext + (int)j_I1,
w, w_ext, w00, w01, w10, w11, psz, sid);
INIT_BILINEAR_WEIGHTS(Ux.y, Uy.y);
cur_SSD = computeSSDMeanNorm(I0_ptr + i * w + j, I1_ptr + (int)i_I1 * w_ext + (int)j_I1,
w, w_ext, w00, w01, w10, w11, psz, sid);
if (cur_SSD < min_SSD)
{
Sx_ptr[is * ws + js] = Ux.y;
Sy_ptr[is * ws + js] = Uy.y;
}
}
}
__kernel void dis_patch_inverse_search_bwd_2(__global const uchar *I0_ptr, __global const uchar *I1_ptr,
__global const short *I0x_ptr, __global const short *I0y_ptr,
__global const float *xx_ptr, __global const float *yy_ptr,
__global const float *xy_ptr,
__global const float *x_ptr, __global const float *y_ptr,
int border_size, int patch_size, int patch_stride,
int w, int h, int ws, int hs, int num_inner_iter,
__global float *Sx_ptr, __global float *Sy_ptr)
{
int js = get_global_id(0);
int is = get_global_id(1);
if (js >= ws || is >= hs) return;
js = (ws - 1 - js);
is = (hs - 1 - is);
int j = js * patch_stride;
int i = is * patch_stride;
int psz = patch_size;
int psz2 = psz / 2;
int w_ext = w + 2 * border_size;
int bsz = border_size;
int index = is * ws + js;
float Ux = Sx_ptr[index];
float Uy = Sy_ptr[index];
float cur_Ux = Ux;
float cur_Uy = Uy;
float cur_xx = xx_ptr[index];
float cur_yy = yy_ptr[index];
float cur_xy = xy_ptr[index];
float detH = cur_xx * cur_yy - cur_xy * cur_xy;
if (fabs(detH) < EPS) detH = EPS;
float invH11 = cur_yy / detH;
float invH12 = -cur_xy / detH;
float invH22 = cur_xx / detH;
float prev_SSD = INF, SSD;
float x_grad_sum = x_ptr[index];
float y_grad_sum = y_ptr[index];
float i_lower_limit = bsz - psz + 1.0f;
float i_upper_limit = bsz + h - 1.0f;
float j_lower_limit = bsz - psz + 1.0f;
float j_upper_limit = bsz + w - 1.0f;
float dUx, dUy, i_I1, j_I1, w00, w01, w10, w11, dx, dy;
float3 res;
for (int t = 0; t < num_inner_iter; t++)
{
INIT_BILINEAR_WEIGHTS(cur_Ux, cur_Uy);
res = processPatchMeanNorm(I0_ptr + i * w + j,
I1_ptr + (int)i_I1 * w_ext + (int)j_I1, I0x_ptr + i * w + j,
I0y_ptr + i * w + j, w, w_ext, w00, w01, w10, w11, psz,
x_grad_sum, y_grad_sum);
SSD = res.x;
dUx = res.y;
dUy = res.z;
dx = invH11 * dUx + invH12 * dUy;
dy = invH12 * dUx + invH22 * dUy;
cur_Ux -= dx;
cur_Uy -= dy;
if (SSD >= prev_SSD)
break;
prev_SSD = SSD;
}
float2 vec = (float2)(cur_Ux - Ux, cur_Uy - Uy);
if ((dot(vec, vec)) <= (float)(psz * psz))
{
Sx_ptr[index] = cur_Ux;
Sy_ptr[index] = cur_Uy;
}
}