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11 // For Open Source Computer Vision Library
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40 //M*/
41
42 #include "_cvaux.h"
43
44 #include "cvtypes.h"
45 #include <float.h>
46 #include <limits.h>
47 #include "cv.h"
48
49 /* Valery Mosyagin */
50
51 typedef void (*pointer_LMJac)( const CvMat* src, CvMat* dst );
52 typedef void (*pointer_LMFunc)( const CvMat* src, CvMat* dst );
53
54 void cvLevenbergMarquardtOptimization(pointer_LMJac JacobianFunction,
55 pointer_LMFunc function,
56 /*pointer_Err error_function,*/
57 CvMat *X0,CvMat *observRes,CvMat *resultX,
58 int maxIter,double epsilon);
59
60 void icvReconstructPointsFor3View( CvMat* projMatr1,CvMat* projMatr2,CvMat* projMatr3,
61 CvMat* projPoints1,CvMat* projPoints2,CvMat* projPoints3,
62 CvMat* points4D);
63
64
65 /* Jacobian computation for trifocal case */
icvJacobianFunction_ProjTrifocal(const CvMat * vectX,CvMat * Jacobian)66 void icvJacobianFunction_ProjTrifocal(const CvMat *vectX,CvMat *Jacobian)
67 {
68 CV_FUNCNAME( "icvJacobianFunction_ProjTrifocal" );
69 __BEGIN__;
70
71 /* Test data for errors */
72 if( vectX == 0 || Jacobian == 0 )
73 {
74 CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
75 }
76
77 if( !CV_IS_MAT(vectX) || !CV_IS_MAT(Jacobian) )
78 {
79 CV_ERROR( CV_StsUnsupportedFormat, "Input parameters must be a matrices" );
80 }
81
82 int numPoints;
83 numPoints = (vectX->rows - 36)/4;
84
85 if( numPoints < 1 )//!!! Need to correct this minimal number of points
86 {
87 CV_ERROR( CV_StsUnmatchedSizes, "number of points must be more than 0" );
88 }
89
90 if( Jacobian->rows == numPoints*6 || Jacobian->cols != 36+numPoints*4 )
91 {
92 CV_ERROR( CV_StsUnmatchedSizes, "Size of Jacobian is not correct it must be 6*numPoints x (36+numPoints*4)" );
93 }
94
95 /* Computed Jacobian in a given point */
96 /* This is for function with 3 projection matrices */
97 /* vector X consists of projection matrices and points3D */
98 /* each 3D points has X,Y,Z,W */
99 /* each projection matrices has 3x4 coeffs */
100 /* For N points 4D we have Jacobian 2N x (12*3+4N) */
101
102 /* Will store derivates as */
103 /* Fill Jacobian matrix */
104 int currProjPoint;
105 int currMatr;
106
107 cvZero(Jacobian);
108 for( currMatr = 0; currMatr < 3; currMatr++ )
109 {
110 double p[12];
111 for( int i=0;i<12;i++ )
112 {
113 p[i] = cvmGet(vectX,currMatr*12+i,0);
114 }
115
116 int currVal = 36;
117 for( currProjPoint = 0; currProjPoint < numPoints; currProjPoint++ )
118 {
119 /* Compute */
120 double X[4];
121 X[0] = cvmGet(vectX,currVal++,0);
122 X[1] = cvmGet(vectX,currVal++,0);
123 X[2] = cvmGet(vectX,currVal++,0);
124 X[3] = cvmGet(vectX,currVal++,0);
125
126 double piX[3];
127 piX[0] = X[0]*p[0] + X[1]*p[1] + X[2]*p[2] + X[3]*p[3];
128 piX[1] = X[0]*p[4] + X[1]*p[5] + X[2]*p[6] + X[3]*p[7];
129 piX[2] = X[0]*p[8] + X[1]*p[9] + X[2]*p[10] + X[3]*p[11];
130
131 int i,j;
132 /* fill derivate by point */
133
134 double tmp3 = 1/(piX[2]*piX[2]);
135
136 double tmp1 = -piX[0]*tmp3;
137 double tmp2 = -piX[1]*tmp3;
138 for( j = 0; j < 2; j++ )//for x and y
139 {
140 for( i = 0; i < 4; i++ )// for X,Y,Z,W
141 {
142 cvmSet( Jacobian,
143 currMatr*numPoints*2+currProjPoint*2+j, 36+currProjPoint*4+i,
144 (p[j*4+i]*piX[2]-p[8+i]*piX[j]) * tmp3 );
145 }
146 }
147 /* fill derivate by projection matrix */
148 for( i = 0; i < 4; i++ )
149 {
150 /* derivate for x */
151 cvmSet(Jacobian,currMatr*numPoints*2+currProjPoint*2,currMatr*12+i,X[i]/piX[2]);//x' p1i
152 cvmSet(Jacobian,currMatr*numPoints*2+currProjPoint*2,currMatr*12+8+i,X[i]*tmp1);//x' p3i
153
154 /* derivate for y */
155 cvmSet(Jacobian,currMatr*numPoints*2+currProjPoint*2+1,currMatr*12+4+i,X[i]/piX[2]);//y' p2i
156 cvmSet(Jacobian,currMatr*numPoints*2+currProjPoint*2+1,currMatr*12+8+i,X[i]*tmp2);//y' p3i
157 }
158
159 }
160 }
161
162 __END__;
163 return;
164 }
165
icvFunc_ProjTrifocal(const CvMat * vectX,CvMat * resFunc)166 void icvFunc_ProjTrifocal(const CvMat *vectX, CvMat *resFunc)
167 {
168 /* Computes function in a given point */
169 /* Computers project points using 3 projection matrices and points 3D */
170
171 /* vector X consists of projection matrices and points3D */
172 /* each projection matrices has 3x4 coeffs */
173 /* each 3D points has X,Y,Z,W(?) */
174
175 /* result of function is projection of N 3D points using 3 projection matrices */
176 /* projected points store as (projection by matrix P1),(projection by matrix P2),(projection by matrix P3) */
177 /* each projection is x1,y1,x2,y2,x3,y3,x4,y4 */
178
179 /* Compute projection of points */
180
181 /* Fill projection matrices */
182
183 CV_FUNCNAME( "icvFunc_ProjTrifocal" );
184 __BEGIN__;
185
186 /* Test data for errors */
187 if( vectX == 0 || resFunc == 0 )
188 {
189 CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
190 }
191
192 if( !CV_IS_MAT(vectX) || !CV_IS_MAT(resFunc) )
193 {
194 CV_ERROR( CV_StsUnsupportedFormat, "Input parameters must be a matrices" );
195 }
196
197 int numPoints;
198 numPoints = (vectX->rows - 36)/4;
199
200 if( numPoints < 1 )//!!! Need to correct this minimal number of points
201 {
202 CV_ERROR( CV_StsUnmatchedSizes, "number of points must be more than 0" );
203 }
204
205 if( resFunc->rows == 2*numPoints*3 || resFunc->cols != 1 )
206 {
207 CV_ERROR( CV_StsUnmatchedSizes, "Size of resFunc is not correct it must be 2*numPoints*3 x 1");
208 }
209
210
211 CvMat projMatrs[3];
212 double projMatrs_dat[36];
213 projMatrs[0] = cvMat(3,4,CV_64F,projMatrs_dat);
214 projMatrs[1] = cvMat(3,4,CV_64F,projMatrs_dat+12);
215 projMatrs[2] = cvMat(3,4,CV_64F,projMatrs_dat+24);
216
217 CvMat point3D;
218 double point3D_dat[3];
219 point3D = cvMat(3,1,CV_64F,point3D_dat);
220
221 int currMatr;
222 int currV;
223 int i,j;
224
225 currV=0;
226 for( currMatr = 0; currMatr < 3; currMatr++ )
227 {
228 for( i = 0; i < 3; i++ )
229 {
230 for( j = 0;j < 4; j++ )
231 {
232 double val = cvmGet(vectX,currV,0);
233 cvmSet(&projMatrs[currMatr],i,j,val);
234 currV++;
235 }
236 }
237 }
238
239 /* Project points */
240 int currPoint;
241 CvMat point4D;
242 double point4D_dat[4];
243 point4D = cvMat(4,1,CV_64F,point4D_dat);
244 for( currPoint = 0; currPoint < numPoints; currPoint++ )
245 {
246 /* get curr point */
247 point4D_dat[0] = cvmGet(vectX,currV++,0);
248 point4D_dat[1] = cvmGet(vectX,currV++,0);
249 point4D_dat[2] = cvmGet(vectX,currV++,0);
250 point4D_dat[3] = cvmGet(vectX,currV++,0);
251
252 for( currMatr = 0; currMatr < 3; currMatr++ )
253 {
254 /* Compute projection for current point */
255 cvmMul(&projMatrs[currMatr],&point4D,&point3D);
256 double z = point3D_dat[2];
257 cvmSet(resFunc,currMatr*numPoints*2 + currPoint*2, 0,point3D_dat[0]/z);
258 cvmSet(resFunc,currMatr*numPoints*2 + currPoint*2+1,0,point3D_dat[1]/z);
259 }
260 }
261
262 __END__;
263 return;
264 }
265
266
267 /*----------------------------------------------------------------------------------------*/
268
icvOptimizeProjectionTrifocal(CvMat ** projMatrs,CvMat ** projPoints,CvMat ** resultProjMatrs,CvMat * resultPoints4D)269 void icvOptimizeProjectionTrifocal(CvMat **projMatrs,CvMat **projPoints,
270 CvMat **resultProjMatrs, CvMat *resultPoints4D)
271 {
272
273 CvMat *optimX = 0;
274 CvMat *points4D = 0;
275 CvMat *vectorX0 = 0;
276 CvMat *observRes = 0;
277 //CvMat *error = 0;
278
279 CV_FUNCNAME( "icvOptimizeProjectionTrifocal" );
280 __BEGIN__;
281
282 /* Test data for errors */
283 if( projMatrs == 0 || projPoints == 0 || resultProjMatrs == 0 || resultPoints4D == 0)
284 {
285 CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
286 }
287
288 if( !CV_IS_MAT(resultPoints4D) )
289 {
290 CV_ERROR( CV_StsUnsupportedFormat, "resultPoints4D must be a matrix" );
291 }
292
293 int numPoints;
294 numPoints = resultPoints4D->cols;
295 if( numPoints < 1 )
296 {
297 CV_ERROR( CV_StsOutOfRange, "Number points of resultPoints4D must be more than 0" );
298 }
299
300 if( resultPoints4D->rows != 4 )
301 {
302 CV_ERROR( CV_StsUnmatchedSizes, "Number of coordinates of points4D must be 4" );
303 }
304
305 int i;
306 for( i = 0; i < 3; i++ )
307 {
308 if( projMatrs[i] == 0 )
309 {
310 CV_ERROR( CV_StsNullPtr, "Some of projMatrs is a NULL pointer" );
311 }
312
313 if( projPoints[i] == 0 )
314 {
315 CV_ERROR( CV_StsNullPtr, "Some of projPoints is a NULL pointer" );
316 }
317
318 if( resultProjMatrs[i] == 0 )
319 {
320 CV_ERROR( CV_StsNullPtr, "Some of resultProjMatrs is a NULL pointer" );
321 }
322
323 /* ----------- test for matrix ------------- */
324 if( !CV_IS_MAT(projMatrs[i]) )
325 {
326 CV_ERROR( CV_StsUnsupportedFormat, "Each of projMatrs must be a matrix" );
327 }
328
329 if( !CV_IS_MAT(projPoints[i]) )
330 {
331 CV_ERROR( CV_StsUnsupportedFormat, "Each of projPoints must be a matrix" );
332 }
333
334 if( !CV_IS_MAT(resultProjMatrs[i]) )
335 {
336 CV_ERROR( CV_StsUnsupportedFormat, "Each of resultProjMatrs must be a matrix" );
337 }
338
339 /* ------------- Test sizes --------------- */
340 if( projMatrs[i]->rows != 3 || projMatrs[i]->cols != 4 )
341 {
342 CV_ERROR( CV_StsUnmatchedSizes, "Size of projMatr must be 3x4" );
343 }
344
345 if( projPoints[i]->rows != 2 || projPoints[i]->cols != numPoints )
346 {
347 CV_ERROR( CV_StsUnmatchedSizes, "Size of resultProjMatrs must be 3x4" );
348 }
349
350 if( resultProjMatrs[i]->rows != 3 || resultProjMatrs[i]->cols != 4 )
351 {
352 CV_ERROR( CV_StsUnmatchedSizes, "Size of resultProjMatrs must be 3x4" );
353 }
354 }
355
356
357 /* Allocate memory for points 4D */
358 CV_CALL( points4D = cvCreateMat(4,numPoints,CV_64F) );
359 CV_CALL( vectorX0 = cvCreateMat(36 + numPoints*4,1,CV_64F) );
360 CV_CALL( observRes = cvCreateMat(2*numPoints*3,1,CV_64F) );
361 CV_CALL( optimX = cvCreateMat(36+numPoints*4,1,CV_64F) );
362 //CV_CALL( error = cvCreateMat(numPoints*2*3,1,CV_64F) );
363
364
365 /* Reconstruct points 4D using projected points and projection matrices */
366 icvReconstructPointsFor3View( projMatrs[0],projMatrs[1],projMatrs[2],
367 projPoints[0],projPoints[1],projPoints[2],
368 points4D);
369
370
371
372 /* Fill observed points on images */
373 /* result of function is projection of N 3D points using 3 projection matrices */
374 /* projected points store as (projection by matrix P1),(projection by matrix P2),(projection by matrix P3) */
375 /* each projection is x1,y1,x2,y2,x3,y3,x4,y4 */
376 int currMatr;
377 for( currMatr = 0; currMatr < 3; currMatr++ )
378 {
379 for( i = 0; i < numPoints; i++ )
380 {
381 cvmSet(observRes,currMatr*numPoints*2+i*2 ,0,cvmGet(projPoints[currMatr],0,i) );/* x */
382 cvmSet(observRes,currMatr*numPoints*2+i*2+1,0,cvmGet(projPoints[currMatr],1,i) );/* y */
383 }
384 }
385
386 /* Fill with projection matrices */
387 for( currMatr = 0; currMatr < 3; currMatr++ )
388 {
389 int i;
390 for( i = 0; i < 12; i++ )
391 {
392 cvmSet(vectorX0,currMatr*12+i,0,cvmGet(projMatrs[currMatr],i/4,i%4));
393 }
394 }
395
396 /* Fill with 4D points */
397
398 int currPoint;
399 for( currPoint = 0; currPoint < numPoints; currPoint++ )
400 {
401 cvmSet(vectorX0,36 + currPoint*4 + 0,0,cvmGet(points4D,0,currPoint));
402 cvmSet(vectorX0,36 + currPoint*4 + 1,0,cvmGet(points4D,1,currPoint));
403 cvmSet(vectorX0,36 + currPoint*4 + 2,0,cvmGet(points4D,2,currPoint));
404 cvmSet(vectorX0,36 + currPoint*4 + 3,0,cvmGet(points4D,3,currPoint));
405 }
406
407
408 /* Allocate memory for result */
409 cvLevenbergMarquardtOptimization( icvJacobianFunction_ProjTrifocal, icvFunc_ProjTrifocal,
410 vectorX0,observRes,optimX,100,1e-6);
411
412 /* Copy results */
413 for( currMatr = 0; currMatr < 3; currMatr++ )
414 {
415 /* Copy projection matrices */
416 for(int i=0;i<12;i++)
417 {
418 cvmSet(resultProjMatrs[currMatr],i/4,i%4,cvmGet(optimX,currMatr*12+i,0));
419 }
420 }
421
422 /* Copy 4D points */
423 for( currPoint = 0; currPoint < numPoints; currPoint++ )
424 {
425 cvmSet(resultPoints4D,0,currPoint,cvmGet(optimX,36 + currPoint*4,0));
426 cvmSet(resultPoints4D,1,currPoint,cvmGet(optimX,36 + currPoint*4+1,0));
427 cvmSet(resultPoints4D,2,currPoint,cvmGet(optimX,36 + currPoint*4+2,0));
428 cvmSet(resultPoints4D,3,currPoint,cvmGet(optimX,36 + currPoint*4+3,0));
429 }
430
431 __END__;
432
433 /* Free allocated memory */
434 cvReleaseMat(&optimX);
435 cvReleaseMat(&points4D);
436 cvReleaseMat(&vectorX0);
437 cvReleaseMat(&observRes);
438
439 return;
440
441
442 }
443
444 /*------------------------------------------------------------------------------*/
445 /* Create good points using status information */
icvCreateGoodPoints(CvMat * points,CvMat ** goodPoints,CvMat * status)446 void icvCreateGoodPoints(CvMat *points,CvMat **goodPoints, CvMat *status)
447 {
448 *goodPoints = 0;
449
450 CV_FUNCNAME( "icvCreateGoodPoints" );
451 __BEGIN__;
452
453 int numPoints;
454 numPoints = points->cols;
455
456 if( numPoints < 1 )
457 {
458 CV_ERROR( CV_StsOutOfRange, "Number of points must be more than 0" );
459 }
460
461 int numCoord;
462 numCoord = points->rows;
463 if( numCoord < 1 )
464 {
465 CV_ERROR( CV_StsOutOfRange, "Number of points coordinates must be more than 0" );
466 }
467
468 /* Define number of good points */
469 int goodNum;
470 int i,j;
471
472 goodNum = 0;
473 for( i = 0; i < numPoints; i++)
474 {
475 if( cvmGet(status,0,i) > 0 )
476 goodNum++;
477 }
478
479 /* Allocate memory for good points */
480 CV_CALL( *goodPoints = cvCreateMat(numCoord,goodNum,CV_64F) );
481
482 for( i = 0; i < numCoord; i++ )
483 {
484 int currPoint = 0;
485 for( j = 0; j < numPoints; j++)
486 {
487 if( cvmGet(status,0,j) > 0 )
488 {
489 cvmSet(*goodPoints,i,currPoint,cvmGet(points,i,j));
490 currPoint++;
491 }
492 }
493 }
494 __END__;
495 return;
496 }
497
498