Update the changelog
[opencv] / cvaux / src / cvlevmarprojbandle.cpp
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41
42
43 #include "_cvaux.h"
44 //#include "cvtypes.h"
45 #include <float.h>
46 #include <limits.h>
47 //#include "cv.h"
48
49 #include <stdio.h>
50
51 void icvReconstructPoints4DStatus(CvMat** projPoints, CvMat **projMatrs, CvMat** presPoints, CvMat *points4D,int numImages,CvMat **projError=0);
52
53 /* Valery Mosyagin */
54
55 /* If you want to save internal debug info to files uncomment next lines and set paths to files if need */
56 /* Note these file may be very large */
57 /*
58 #define TRACK_BUNDLE
59 #define TRACK_BUNDLE_FILE            "d:\\test\\bundle.txt"
60 #define TRACK_BUNDLE_FILE_JAC        "d:\\test\\bundle.txt"
61 #define TRACK_BUNDLE_FILE_JACERRPROJ "d:\\test\\JacErrProj.txt"
62 #define TRACK_BUNDLE_FILE_JACERRPNT  "d:\\test\\JacErrPoint.txt"
63 #define TRACK_BUNDLE_FILE_MATRW      "d:\\test\\matrWt.txt"
64 #define TRACK_BUNDLE_FILE_DELTAP     "d:\\test\\deltaP.txt"
65 */
66 #define TRACK_BUNDLE_FILE            "d:\\test\\bundle.txt"
67
68
69 /* ============== Bundle adjustment optimization ================= */
70 void icvComputeDerivateProj(CvMat *points4D,CvMat *projMatr, CvMat *status, CvMat *derivProj)
71 {
72     /* Compute derivate for given projection matrix points and status of points */
73
74     CV_FUNCNAME( "icvComputeDerivateProj" );
75     __BEGIN__;
76
77
78     /* ----- Test input params for errors ----- */
79     if( points4D == 0 || projMatr == 0 || status == 0 || derivProj == 0)
80     {
81         CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
82     }
83
84     if( !CV_IS_MAT(points4D) )
85     {
86         CV_ERROR( CV_StsUnsupportedFormat, "points4D must be a matrix 4xN" );
87     }
88
89     /* Compute number of points */
90     int numPoints;
91     numPoints = points4D->cols;
92
93     if( numPoints < 1 )
94     {
95         CV_ERROR( CV_StsOutOfRange, "Number of points4D must be more than zero" );
96     }
97
98     if( points4D->rows != 4 )
99     {
100         CV_ERROR( CV_StsOutOfRange, "Number of coordinates of points4D must be 4" );
101     }
102
103     if( !CV_IS_MAT(projMatr) )
104     {
105         CV_ERROR( CV_StsUnsupportedFormat, "projMatr must be a matrix 3x4" );
106     }
107
108     if( projMatr->rows != 3 || projMatr->cols != 4 )
109     {
110         CV_ERROR( CV_StsOutOfRange, "Size of projection matrix (projMatr) must be 3x4" );
111     }
112
113     if( !CV_IS_MAT(status) )
114     {
115         CV_ERROR( CV_StsUnsupportedFormat, "Status must be a matrix 1xN" );
116     }
117
118     if( status->rows != 1 || status->cols != numPoints )
119     {
120         CV_ERROR( CV_StsOutOfRange, "Size of status of points must be 1xN" );
121     }
122
123     if( !CV_IS_MAT(derivProj) )
124     {
125         CV_ERROR( CV_StsUnsupportedFormat, "derivProj must be a matrix VisN x 12" );
126     }
127
128     if( derivProj->cols != 12 )
129     {
130         CV_ERROR( CV_StsOutOfRange, "derivProj must be a matrix VisN x 12" );
131     }
132     /* ----- End test ----- */
133
134     int i;
135
136     /* Allocate memory for derivates */
137
138     double p[12];
139     /* Copy projection matrix */
140     for( i = 0; i < 12; i++ )
141     {
142         p[i] = cvmGet(projMatr,i/4,i%4);
143     }
144
145     /* Fill deriv matrix */
146     int currVisPoint;
147     int currPoint;
148
149     currVisPoint = 0;
150     for( currPoint = 0; currPoint < numPoints; currPoint++ )
151     {
152         if( cvmGet(status,0,currPoint) > 0 )
153         {
154             double X[4];
155             X[0] = cvmGet(points4D,0,currVisPoint);
156             X[1] = cvmGet(points4D,1,currVisPoint);
157             X[2] = cvmGet(points4D,2,currVisPoint);
158             X[3] = cvmGet(points4D,3,currVisPoint);
159
160             /* Compute derivate for this point */
161
162             double piX[3];
163             piX[0] = X[0]*p[0] + X[1]*p[1] + X[2]*p[2]  + X[3]*p[3];
164             piX[1] = X[0]*p[4] + X[1]*p[5] + X[2]*p[6]  + X[3]*p[7];
165             piX[2] = X[0]*p[8] + X[1]*p[9] + X[2]*p[10] + X[3]*p[11];
166
167             int i;
168             /* fill derivate by point */
169
170             double tmp3 = 1/(piX[2]*piX[2]);
171
172             double tmp1 = -piX[0]*tmp3;
173             double tmp2 = -piX[1]*tmp3;
174
175             /* fill derivate by projection matrix */
176             for( i = 0; i < 4; i++ )
177             {
178                 /* derivate for x */
179                 cvmSet(derivProj,currVisPoint*2,i,X[i]/piX[2]);//x' p1i
180                 cvmSet(derivProj,currVisPoint*2,4+i,0);//x' p1i
181                 cvmSet(derivProj,currVisPoint*2,8+i,X[i]*tmp1);//x' p3i
182
183                 /* derivate for y */
184                 cvmSet(derivProj,currVisPoint*2+1,i,0);//y' p2i
185                 cvmSet(derivProj,currVisPoint*2+1,4+i,X[i]/piX[2]);//y' p2i
186                 cvmSet(derivProj,currVisPoint*2+1,8+i,X[i]*tmp2);//y' p3i
187             }
188
189             currVisPoint++;
190         }
191     }
192
193     if( derivProj->rows != currVisPoint * 2 )
194     {
195         CV_ERROR( CV_StsOutOfRange, "derivProj must be a matrix 2VisN x 12" );
196     }
197
198
199     __END__;
200     return;
201 }
202 /*======================================================================================*/
203
204 void icvComputeDerivateProjAll(CvMat *points4D, CvMat **projMatrs, CvMat **pointPres, int numImages,CvMat **projDerives)
205 {
206     CV_FUNCNAME( "icvComputeDerivateProjAll" );
207     __BEGIN__;
208
209     /* ----- Test input params for errors ----- */
210     if( numImages < 1 )
211     {
212         CV_ERROR( CV_StsOutOfRange, "Number of images must more than zero" );
213     }
214     if( projMatrs == 0 || pointPres == 0 || projDerives == 0 )
215     {
216         CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
217     }
218     /* ----- End test ----- */
219
220     int currImage;
221     for( currImage = 0; currImage < numImages; currImage++ )
222     {
223         icvComputeDerivateProj(points4D,projMatrs[currImage], pointPres[currImage], projDerives[currImage]);
224     }
225
226     __END__;
227     return;
228 }
229 /*======================================================================================*/
230
231 void icvComputeDerivatePoints(CvMat *points4D,CvMat *projMatr, CvMat *presPoints, CvMat *derivPoint)
232 {
233
234     CV_FUNCNAME( "icvComputeDerivatePoints" );
235     __BEGIN__;
236
237     /* ----- Test input params for errors ----- */
238     if( points4D == 0 || projMatr == 0 || presPoints == 0 || derivPoint == 0)
239     {
240         CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
241     }
242
243     if( !CV_IS_MAT(points4D) )
244     {
245         CV_ERROR( CV_StsUnsupportedFormat, "points4D must be a matrix N x 4" );
246     }
247
248     int numPoints;
249     numPoints = presPoints->cols;
250
251     if( numPoints < 1 )
252     {
253         CV_ERROR( CV_StsOutOfRange, "Number of points must be more than zero" );
254     }
255
256     if( points4D->rows != 4 )
257     {
258         CV_ERROR( CV_StsOutOfRange, "points4D must be a matrix N x 4" );
259     }
260
261     if( !CV_IS_MAT(projMatr) )
262     {
263         CV_ERROR( CV_StsUnsupportedFormat, "projMatr must be a matrix 3x4" );
264     }
265
266     if( projMatr->rows != 3 || projMatr->cols != 4 )
267     {
268         CV_ERROR( CV_StsOutOfRange, "Size of projection matrix (projMatr) must be 3x4" );
269     }
270     
271     if( !CV_IS_MAT(presPoints) )
272     {
273         CV_ERROR( CV_StsUnsupportedFormat, "Status must be a matrix 1xN" );
274     }
275
276     if( presPoints->rows != 1 || presPoints->cols != numPoints )
277     {
278         CV_ERROR( CV_StsOutOfRange, "Size of presPoints status must be 1xN" );
279     }
280
281     if( !CV_IS_MAT(derivPoint) )
282     {
283         CV_ERROR( CV_StsUnsupportedFormat, "derivPoint must be a matrix 2 x 4VisNum" );
284     }
285     /* ----- End test ----- */    
286     
287     /* Compute derivates by points */
288         
289     double p[12];
290     int i;
291     for( i = 0; i < 12; i++ )
292     {
293         p[i] = cvmGet(projMatr,i/4,i%4);
294     }
295
296     int currVisPoint;
297     int currProjPoint;
298
299     currVisPoint = 0;
300     for( currProjPoint = 0; currProjPoint < numPoints; currProjPoint++ )
301     {
302         if( cvmGet(presPoints,0,currProjPoint) > 0 )
303         {
304             double X[4];
305             X[0] = cvmGet(points4D,0,currProjPoint);
306             X[1] = cvmGet(points4D,1,currProjPoint);
307             X[2] = cvmGet(points4D,2,currProjPoint);
308             X[3] = cvmGet(points4D,3,currProjPoint);
309
310             double piX[3];
311             piX[0] = X[0]*p[0] + X[1]*p[1] + X[2]*p[2]  + X[3]*p[3];
312             piX[1] = X[0]*p[4] + X[1]*p[5] + X[2]*p[6]  + X[3]*p[7];
313             piX[2] = X[0]*p[8] + X[1]*p[9] + X[2]*p[10] + X[3]*p[11];
314             
315             int i,j;
316
317             double tmp3 = 1/(piX[2]*piX[2]);
318                       
319             for( j = 0; j < 2; j++ )//for x and y
320             {
321                 for( i = 0; i < 4; i++ )// for X,Y,Z,W
322                 {
323                     cvmSet( derivPoint, 
324                             j, currVisPoint*4+i,
325                             (p[j*4+i]*piX[2]-p[8+i]*piX[j]) * tmp3  );
326                 }
327             }
328             currVisPoint++;
329         }
330     }
331
332     if( derivPoint->rows != 2 || derivPoint->cols != currVisPoint*4 )
333     {
334         CV_ERROR( CV_StsUnsupportedFormat, "derivPoint must be a matrix 2 x 4VisNum" );
335     }
336
337     __END__;
338     return;
339 }
340 /*======================================================================================*/
341 void icvComputeDerivatePointsAll(CvMat *points4D, CvMat **projMatrs, CvMat **pointPres, int numImages,CvMat **pointDerives)
342 {
343     CV_FUNCNAME( "icvComputeDerivatePointsAll" );
344     __BEGIN__;
345
346     /* ----- Test input params for errors ----- */
347     if( numImages < 1 )
348     {
349         CV_ERROR( CV_StsOutOfRange, "Number of images must more than zero" );
350     }
351     if( projMatrs == 0 || pointPres == 0 || pointDerives == 0 )
352     {
353         CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
354     }
355     /* ----- End test ----- */
356
357     int currImage;
358     for( currImage = 0; currImage < numImages; currImage++ )
359     {
360         icvComputeDerivatePoints(points4D, projMatrs[currImage], pointPres[currImage], pointDerives[currImage]);
361     }
362
363     __END__;
364     return;
365 }
366 /*======================================================================================*/
367 void icvComputeMatrixVAll(int numImages,CvMat **pointDeriv,CvMat **presPoints, CvMat **matrV)
368 {
369     int *shifts = 0;
370
371     CV_FUNCNAME( "icvComputeMatrixVAll" );
372     __BEGIN__;
373
374     /* ----- Test input params for errors ----- */
375     if( numImages < 1 )
376     {
377         CV_ERROR( CV_StsOutOfRange, "Number of images must more than zero" );
378     }
379     if( pointDeriv == 0 || presPoints == 0 || matrV == 0 )
380     {
381         CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
382     }
383     /*  !!! not tested all parameters */
384     /* ----- End test ----- */
385
386     /* Compute all matrices U */
387     int currImage;
388     int currPoint;
389     int numPoints;
390     numPoints = presPoints[0]->cols;
391     CV_CALL(shifts = (int*)cvAlloc(sizeof(int)*numImages));
392     memset(shifts,0,sizeof(int)*numImages);
393
394     for( currPoint = 0; currPoint < numPoints; currPoint++ )//For each point (matrix V)
395     {
396         int i,j;
397
398         for( i = 0; i < 4; i++ )
399         {
400             for( j = 0; j < 4; j++ )
401             {
402                 double sum = 0;
403                 for( currImage = 0; currImage < numImages; currImage++ )
404                 {
405                     if( cvmGet(presPoints[currImage],0,currPoint) > 0 )
406                     {
407                         sum += cvmGet(pointDeriv[currImage],0,shifts[currImage]*4+i) * 
408                                cvmGet(pointDeriv[currImage],0,shifts[currImage]*4+j);
409
410                         sum += cvmGet(pointDeriv[currImage],1,shifts[currImage]*4+i) * 
411                                cvmGet(pointDeriv[currImage],1,shifts[currImage]*4+j);
412                     }
413                 }
414
415                 cvmSet(matrV[currPoint],i,j,sum);
416             }
417         }
418
419
420         /* shift position of visible points */
421         for( currImage = 0; currImage < numImages; currImage++ )
422         {
423             if( cvmGet(presPoints[currImage],0,currPoint) > 0 )
424             {
425                 shifts[currImage]++;
426             }
427         }
428     }
429
430     __END__;
431     cvFree( &shifts);
432     
433     return;
434 }
435 /*======================================================================================*/
436 void icvComputeMatrixUAll(int numImages,CvMat **projDeriv,CvMat** matrU)
437 {
438     CV_FUNCNAME( "icvComputeMatrixVAll" );
439     __BEGIN__;
440     /* ----- Test input params for errors ----- */
441     if( numImages < 1 )
442     {
443         CV_ERROR( CV_StsOutOfRange, "Number of images must more than zero" );
444     }
445     if( projDeriv == 0 || matrU == 0 )
446     {
447         CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
448     }
449     /* !!! Not tested all input parameters */
450     /* ----- End test ----- */
451
452     /* Compute matrices V */
453     int currImage;
454     for( currImage = 0; currImage < numImages; currImage++ )
455     {
456         cvMulTransposed(projDeriv[currImage],matrU[currImage],1);
457     }
458
459     __END__;
460     return;
461 }
462 /*======================================================================================*/
463 void icvComputeMatrixW(int numImages, CvMat **projDeriv, CvMat **pointDeriv, CvMat **presPoints, CvMat *matrW)
464 {
465     CV_FUNCNAME( "icvComputeMatrixW" );
466     __BEGIN__;
467
468     /* ----- Test input params for errors ----- */
469     if( numImages < 1 )
470     {
471         CV_ERROR( CV_StsOutOfRange, "Number of images must more than zero" );
472     }
473     if( projDeriv == 0 || pointDeriv == 0 || presPoints == 0 || matrW == 0 )
474     {
475         CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
476     }
477     int numPoints;
478     numPoints = presPoints[0]->cols;
479     if( numPoints < 1 )
480     {
481         CV_ERROR( CV_StsOutOfRange, "Number of points must more than zero" );
482     }
483     if( !CV_IS_MAT(matrW) )
484     {
485         CV_ERROR( CV_StsUnsupportedFormat, "matrW must be a matrix 12NumIm x 4NumPnt" );
486     }
487     if( matrW->rows != numImages*12 || matrW->cols != numPoints*4 )
488     {
489         CV_ERROR( CV_StsOutOfRange, "matrW must be a matrix 12NumIm x 4NumPnt" );
490     }
491     /* !!! Not tested all input parameters */
492     /* ----- End test ----- */
493
494     /* Compute number of points */
495     /* Compute matrix W using derivate proj and points */
496
497     int currImage;
498
499     for( currImage = 0; currImage < numImages; currImage++ )
500     {
501         for( int currLine = 0; currLine < 12; currLine++ )
502         {
503             int currVis = 0;
504             for( int currPoint = 0; currPoint < numPoints; currPoint++ )
505             {
506                 if( cvmGet(presPoints[currImage],0,currPoint) > 0 )
507                 {
508
509                     for( int currCol = 0; currCol < 4; currCol++ )
510                     {
511                         double sum;
512                         sum = cvmGet(projDeriv[currImage],currVis*2+0,currLine) * 
513                               cvmGet(pointDeriv[currImage],0,currVis*4+currCol);
514
515                         sum += cvmGet(projDeriv[currImage],currVis*2+1,currLine) * 
516                               cvmGet(pointDeriv[currImage],1,currVis*4+currCol);
517
518                         cvmSet(matrW,currImage*12+currLine,currPoint*4+currCol,sum);
519                     }
520                     currVis++;
521                 }
522                 else
523                 {/* set all sub elements to zero */
524                     for( int currCol = 0; currCol < 4; currCol++ )
525                     {
526                         cvmSet(matrW,currImage*12+currLine,currPoint*4+currCol,0);
527                     }
528                 }
529             }
530         }
531     }
532     
533 #ifdef TRACK_BUNDLE
534     {
535         FILE *file;
536         file = fopen( TRACK_BUNDLE_FILE_MATRW ,"w");
537         int currPoint,currImage;
538         for( currPoint = 0; currPoint < numPoints; currPoint++ )
539         {
540             fprintf(file,"\nPoint=%d\n",currPoint);
541             int currRow;
542             for( currRow = 0; currRow < 4; currRow++  )
543             {
544                 for( currImage = 0; currImage< numImages; currImage++ )
545                 {
546                     int i;
547                     for( i = 0; i < 12; i++ )
548                     {
549                         double val = cvmGet(matrW, currImage * 12 + i, currPoint * 4 + currRow);
550                         fprintf(file,"%lf ",val);
551                     }
552                 }
553                 fprintf(file,"\n");
554             }
555         }
556         fclose(file);
557     }
558 #endif
559
560     __END__;
561     return;
562 }
563 /*======================================================================================*/
564 /* Compute jacobian mult projection matrices error */
565 void icvComputeJacErrorProj(int numImages,CvMat **projDeriv,CvMat **projErrors,CvMat *jacProjErr )
566 {
567     CV_FUNCNAME( "icvComputeJacErrorProj" );
568     __BEGIN__;
569
570     /* ----- Test input params for errors ----- */
571     if( numImages < 1 )
572     {
573         CV_ERROR( CV_StsOutOfRange, "Number of images must more than zero" );
574     }
575     if( projDeriv == 0 || projErrors == 0 || jacProjErr == 0 )
576     {
577         CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
578     }
579     if( !CV_IS_MAT(jacProjErr) )
580     {
581         CV_ERROR( CV_StsUnsupportedFormat, "jacProjErr must be a matrix 12NumIm x 1" );
582     }
583     if( jacProjErr->rows != numImages*12 || jacProjErr->cols != 1 )
584     {
585         CV_ERROR( CV_StsOutOfRange, "jacProjErr must be a matrix 12NumIm x 1" );
586     }
587     /* !!! Not tested all input parameters */
588     /* ----- End test ----- */
589
590     int currImage;
591     for( currImage = 0; currImage < numImages; currImage++ )
592     {
593         for( int currCol = 0; currCol < 12; currCol++ )
594         {
595             int num = projDeriv[currImage]->rows;
596             double sum = 0;
597             for( int i = 0; i < num; i++ )
598             {
599                 sum += cvmGet(projDeriv[currImage],i,currCol) * 
600                        cvmGet(projErrors[currImage],i%2,i/2);
601             }
602             cvmSet(jacProjErr,currImage*12+currCol,0,sum);
603         }
604     }
605
606 #ifdef TRACK_BUNDLE
607     {
608         FILE *file;
609         file = fopen( TRACK_BUNDLE_FILE_JACERRPROJ ,"w");
610         int currImage;
611         for( currImage = 0; currImage < numImages; currImage++ )
612         {
613             fprintf(file,"\nImage=%d\n",currImage);
614             int currRow;
615             for( currRow = 0; currRow < 12; currRow++  )
616             {
617                 double val = cvmGet(jacProjErr, currImage * 12 + currRow, 0);
618                 fprintf(file,"%lf\n",val);
619             }
620             fprintf(file,"\n");
621         }
622         fclose(file);
623     }
624 #endif
625
626
627     __END__;
628     return;
629 }
630 /*======================================================================================*/
631 /* Compute jacobian mult points error */
632 void icvComputeJacErrorPoint(int numImages,CvMat **pointDeriv,CvMat **projErrors, CvMat **presPoints,CvMat *jacPointErr )
633 {
634     int *shifts = 0;
635
636     CV_FUNCNAME( "icvComputeJacErrorPoint" );
637     __BEGIN__;
638
639     /* ----- Test input params for errors ----- */
640     if( numImages < 1 )
641     {
642         CV_ERROR( CV_StsOutOfRange, "Number of images must more than zero" );
643     }
644
645     if( pointDeriv == 0 || projErrors == 0 || presPoints == 0 || jacPointErr == 0 )
646     {
647         CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
648     }
649
650     int numPoints;
651     numPoints = presPoints[0]->cols;
652     if( numPoints < 1 )
653     {
654         CV_ERROR( CV_StsOutOfRange, "Number of points must more than zero" );
655     }
656
657     if( !CV_IS_MAT(jacPointErr) )
658     {
659         CV_ERROR( CV_StsUnsupportedFormat, "jacPointErr must be a matrix 4NumPnt x 1" );
660     }
661
662     if( jacPointErr->rows != numPoints*4 || jacPointErr->cols != 1 )
663     {
664         CV_ERROR( CV_StsOutOfRange, "jacPointErr must be a matrix 4NumPnt x 1" );
665     }
666     /* !!! Not tested all input parameters */
667     /* ----- End test ----- */
668
669     int currImage;
670     int currPoint;
671     CV_CALL(shifts = (int*)cvAlloc(sizeof(int)*numImages));
672     memset(shifts,0,sizeof(int)*numImages);
673     for( currPoint = 0; currPoint < numPoints; currPoint++ )
674     {
675         for( int currCoord = 0; currCoord < 4; currCoord++ )
676         {
677             double sum = 0;
678             {
679                 int currVis = 0;
680                 for( currImage = 0; currImage < numImages; currImage++ )
681                 {
682                     if( cvmGet(presPoints[currImage],0,currPoint) > 0 )
683                     {
684                         sum += cvmGet(pointDeriv[currImage],0,shifts[currImage]*4+currCoord) *
685                                cvmGet(projErrors[currImage],0,shifts[currImage]);//currVis);
686
687                         sum += cvmGet(pointDeriv[currImage],1,shifts[currImage]*4+currCoord) *
688                                cvmGet(projErrors[currImage],1,shifts[currImage]);//currVis);
689
690                         currVis++;
691                     }
692                 }
693             }
694
695             cvmSet(jacPointErr,currPoint*4+currCoord,0,sum);
696         }
697
698         /* Increase shifts */
699         for( currImage = 0; currImage < numImages; currImage++ )
700         {
701             if( cvmGet(presPoints[currImage],0,currPoint) > 0 )
702             {
703                 shifts[currImage]++;
704             }
705         }
706     }
707
708
709 #ifdef TRACK_BUNDLE
710     {
711         FILE *file;
712         file = fopen(TRACK_BUNDLE_FILE_JACERRPNT,"w");
713         int currPoint;
714         for( currPoint = 0; currPoint < numPoints; currPoint++ )
715         {
716             fprintf(file,"\nPoint=%d\n",currPoint);
717             int currRow;
718             for( currRow = 0; currRow < 4; currRow++  )
719             {
720                 double val = cvmGet(jacPointErr, currPoint * 4 + currRow, 0);
721                 fprintf(file,"%lf\n",val);
722             }
723             fprintf(file,"\n");
724         }
725         fclose(file);
726     }
727 #endif
728
729
730
731     __END__;
732     cvFree( &shifts);
733
734 }
735 /*======================================================================================*/
736
737 /* Reconstruct 4D points using status */
738 void icvReconstructPoints4DStatus(CvMat** projPoints, CvMat **projMatrs, CvMat** presPoints,
739                                   CvMat *points4D,int numImages,CvMat **projError)
740 {
741
742     double* matrA_dat = 0;
743     double* matrW_dat = 0;
744
745     CV_FUNCNAME( "icvReconstructPoints4DStatus" );
746     __BEGIN__;
747
748     /* ----- Test input params for errors ----- */
749     if( numImages < 2 )
750     {
751         CV_ERROR( CV_StsOutOfRange, "Number of images must be more than one" );
752     }
753
754     if( projPoints == 0 || projMatrs == 0 || presPoints == 0 || points4D == 0 )
755     {
756         CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
757     }
758
759     int numPoints;
760     numPoints = points4D->cols;
761     if( numPoints < 1 )
762     {
763         CV_ERROR( CV_StsOutOfRange, "Number of points4D must be more than zero" );
764     }
765
766     if( points4D->rows != 4 )
767     {
768         CV_ERROR( CV_StsOutOfRange, "Points must have 4 cordinates" );
769     }
770
771     /* !!! Not tested all input parameters */
772     /* ----- End test ----- */
773
774     int currImage;
775     int currPoint;
776
777     /* Allocate maximum data */
778
779
780     CvMat matrV;
781     double matrV_dat[4*4];
782     matrV = cvMat(4,4,CV_64F,matrV_dat);
783
784     CV_CALL(matrA_dat = (double*)cvAlloc(3*numImages * 4 * sizeof(double)));
785     CV_CALL(matrW_dat = (double*)cvAlloc(3*numImages * 4 * sizeof(double)));
786
787     /* reconstruct each point */
788     for( currPoint = 0; currPoint < numPoints; currPoint++ )
789     {
790         /* Reconstruct current point */
791         /* Define number of visible projections */
792         int numVisProj = 0;
793         for( currImage = 0; currImage < numImages; currImage++ )
794         {
795             if( cvmGet(presPoints[currImage],0,currPoint) > 0 )
796             {
797                 numVisProj++;
798             }
799         }
800         
801         if( numVisProj < 2 )
802         {
803             /* This point can't be reconstructed */
804             continue;
805         }
806
807         /* Allocate memory and create matrices */
808         CvMat matrA;
809         matrA = cvMat(3*numVisProj,4,CV_64F,matrA_dat);
810
811         CvMat matrW;
812         matrW = cvMat(3*numVisProj,4,CV_64F,matrW_dat);
813
814         int currVisProj = 0;
815         for( currImage = 0; currImage < numImages; currImage++ )/* For each view */
816         {
817             if( cvmGet(presPoints[currImage],0,currPoint) > 0 )
818             {
819                 double x,y;
820                 x = cvmGet(projPoints[currImage],0,currPoint);
821                 y = cvmGet(projPoints[currImage],1,currPoint);
822                 for( int k = 0; k < 4; k++ )
823                 {
824                     matrA_dat[currVisProj*12   + k] = 
825                            x * cvmGet(projMatrs[currImage],2,k) -     cvmGet(projMatrs[currImage],0,k);
826
827                     matrA_dat[currVisProj*12+4 + k] =
828                            y * cvmGet(projMatrs[currImage],2,k) -     cvmGet(projMatrs[currImage],1,k);
829
830                     matrA_dat[currVisProj*12+8 + k] =
831                            x * cvmGet(projMatrs[currImage],1,k) - y * cvmGet(projMatrs[currImage],0,k);
832                 }
833                 currVisProj++;
834             }
835         }
836
837         /* Solve system for current point */
838         {
839             cvSVD(&matrA,&matrW,0,&matrV,CV_SVD_V_T);
840
841             /* Copy computed point */
842             cvmSet(points4D,0,currPoint,cvmGet(&matrV,3,0));//X
843             cvmSet(points4D,1,currPoint,cvmGet(&matrV,3,1));//Y
844             cvmSet(points4D,2,currPoint,cvmGet(&matrV,3,2));//Z
845             cvmSet(points4D,3,currPoint,cvmGet(&matrV,3,3));//W
846         }
847
848     }
849
850     {/* Compute projection error */
851         for( currImage = 0; currImage < numImages; currImage++ )
852         {
853             CvMat point4D;
854             CvMat point3D;
855             double point3D_dat[3];
856             point3D = cvMat(3,1,CV_64F,point3D_dat);
857             
858             int currPoint;
859             int numVis = 0;
860             double totalError = 0;
861             for( currPoint = 0; currPoint < numPoints; currPoint++ )
862             {
863                 if( cvmGet(presPoints[currImage],0,currPoint) > 0)
864                 {
865                     double  dx,dy;
866                     cvGetCol(points4D,&point4D,currPoint);
867                     cvmMul(projMatrs[currImage],&point4D,&point3D);
868                     double w = point3D_dat[2];
869                     double x = point3D_dat[0] / w;
870                     double y = point3D_dat[1] / w;
871
872                     dx = cvmGet(projPoints[currImage],0,currPoint) - x;
873                     dy = cvmGet(projPoints[currImage],1,currPoint) - y;
874                     if( projError )
875                     {
876                         cvmSet(projError[currImage],0,currPoint,dx);
877                         cvmSet(projError[currImage],1,currPoint,dy);
878                     }
879                     totalError += sqrt(dx*dx+dy*dy);
880                     numVis++;
881                 }
882             }
883
884             //double meanError = totalError / (double)numVis;
885
886         }
887
888     }
889
890     __END__;
891
892     cvFree( &matrA_dat);
893     cvFree( &matrW_dat);
894
895     return;
896 }
897
898 /*======================================================================================*/
899
900 void icvProjPointsStatusFunc( int numImages, CvMat *points4D, CvMat **projMatrs, CvMat **pointsPres, CvMat **projPoints)
901 {
902     CV_FUNCNAME( "icvProjPointsStatusFunc" );
903     __BEGIN__;
904
905     /* ----- Test input params for errors ----- */
906     if( numImages < 1 )
907     {
908         CV_ERROR( CV_StsOutOfRange, "Number of images must be more than zero" );
909     }
910
911     if( points4D == 0 || projMatrs == 0 || pointsPres == 0 || projPoints == 0 )
912     {
913         CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
914     }
915
916     int numPoints;
917     numPoints = points4D->cols;
918     if( numPoints < 1 )
919     {
920         CV_ERROR( CV_StsOutOfRange, "Number of points4D must be more than zero" );
921     }
922
923     if( points4D->rows != 4 )
924     {
925         CV_ERROR( CV_StsOutOfRange, "Points must have 4 cordinates" );
926     }
927
928     /* !!! Not tested all input parameters */
929     /* ----- End test ----- */
930
931     CvMat point4D;
932     CvMat point3D;
933     double point4D_dat[4];
934     double point3D_dat[3];
935     point4D = cvMat(4,1,CV_64F,point4D_dat);
936     point3D = cvMat(3,1,CV_64F,point3D_dat);
937
938 #ifdef TRACK_BUNDLE
939         {
940             FILE *file;
941             file = fopen( TRACK_BUNDLE_FILE ,"a");
942             fprintf(file,"\n----- test 14.01 icvProjPointsStatusFunc -----\n");
943             fclose(file);
944         }
945 #endif
946     
947     int currImage;
948     for( currImage = 0; currImage < numImages; currImage++ )
949     {
950         /* Get project matrix */
951         /* project visible points using current projection matrix */
952         int currVisPoint = 0;
953         for( int currPoint = 0; currPoint < numPoints; currPoint++ )
954         {
955             if( cvmGet(pointsPres[currImage],0,currPoint) > 0 )
956             {
957                 /* project current point */
958                 cvGetSubRect(points4D,&point4D,cvRect(currPoint,0,1,4));
959
960 #ifdef TRACK_BUNDLE
961                 {
962                     FILE *file;
963                     file = fopen( TRACK_BUNDLE_FILE ,"a");
964                     fprintf(file,"\n----- test 14.02 point4D (%lf, %lf, %lf, %lf) -----\n",
965                                  cvmGet(&point4D,0,0),
966                                  cvmGet(&point4D,1,0),
967                                  cvmGet(&point4D,2,0),
968                                  cvmGet(&point4D,3,0));
969                     fclose(file);
970                 }
971 #endif
972                 
973                 cvmMul(projMatrs[currImage],&point4D,&point3D);
974                 double w = point3D_dat[2];
975                 cvmSet(projPoints[currImage],0,currVisPoint,point3D_dat[0]/w);
976                 cvmSet(projPoints[currImage],1,currVisPoint,point3D_dat[1]/w);
977
978 #ifdef TRACK_BUNDLE
979                 {
980                     FILE *file;
981                     file = fopen( TRACK_BUNDLE_FILE ,"a");
982                     fprintf(file,"\n----- test 14.03 (%lf, %lf, %lf) -> (%lf, %lf)-----\n",
983                                  point3D_dat[0],
984                                  point3D_dat[1],
985                                  point3D_dat[2],
986                                  point3D_dat[0]/w,
987                                  point3D_dat[1]/w
988                                  );
989                     fclose(file);
990                 }
991 #endif
992                 currVisPoint++;
993             }
994         }
995     }
996
997     __END__;
998 }
999
1000 /*======================================================================================*/
1001 void icvFreeMatrixArray(CvMat ***matrArray,int numMatr)
1002 {
1003     /* Free each matrix */
1004     int currMatr;
1005     
1006     if( *matrArray != 0 )
1007     {/* Need delete */
1008         for( currMatr = 0; currMatr < numMatr; currMatr++ )
1009         {
1010             cvReleaseMat((*matrArray)+currMatr);
1011         }
1012         cvFree( matrArray);
1013     }
1014     return;
1015 }
1016
1017 /*======================================================================================*/
1018 void *icvClearAlloc(int size)
1019 {
1020     void *ptr = 0;
1021
1022     CV_FUNCNAME( "icvClearAlloc" );
1023     __BEGIN__;
1024
1025     if( size > 0 )
1026     {
1027         CV_CALL(ptr = cvAlloc(size));
1028         memset(ptr,0,size);
1029     }
1030
1031     __END__;
1032     return ptr;
1033 }
1034
1035 /*======================================================================================*/
1036 #if 0
1037 void cvOptimizeLevenbergMarquardtBundleWraper( CvMat** projMatrs, CvMat** observProjPoints,
1038                                        CvMat** pointsPres, int numImages,
1039                                        CvMat** resultProjMatrs, CvMat* resultPoints4D,int maxIter,double epsilon )
1040 {
1041     /* Delete al sparse points */
1042
1043 int icvDeleteSparsInPoints(  int numImages,
1044                              CvMat **points,
1045                              CvMat **status,
1046                              CvMat *wasStatus)/* status of previous configuration */
1047
1048 }
1049 #endif
1050 /*======================================================================================*/
1051 /* !!! may be useful to return norm of error */
1052 /* !!! may be does not work correct with not all visible 4D points */
1053 void cvOptimizeLevenbergMarquardtBundle( CvMat** projMatrs, CvMat** observProjPoints,
1054                                        CvMat** pointsPres, int numImages,
1055                                        CvMat** resultProjMatrs, CvMat* resultPoints4D,int maxIter,double epsilon )
1056 {
1057     
1058     CvMat  *vectorX_points4D = 0;
1059     CvMat **vectorX_projMatrs = 0;    
1060
1061     CvMat  *newVectorX_points4D = 0;
1062     CvMat **newVectorX_projMatrs = 0;
1063
1064     CvMat  *changeVectorX_points4D = 0;
1065     CvMat  *changeVectorX_projMatrs = 0;  
1066
1067     CvMat **observVisPoints = 0;
1068     CvMat **projVisPoints = 0;
1069     CvMat **errorProjPoints = 0;
1070     CvMat **DerivProj = 0;
1071     CvMat **DerivPoint = 0;
1072     CvMat *matrW = 0;
1073     CvMat **matrsUk = 0;
1074     CvMat **workMatrsUk = 0;
1075     CvMat **matrsVi = 0;
1076     CvMat *workMatrVi = 0;
1077     CvMat **workMatrsInvVi = 0;
1078     CvMat *jacProjErr = 0;
1079     CvMat *jacPointErr = 0;
1080
1081     CvMat *matrTmpSys1 = 0;
1082     CvMat *matrSysDeltaP = 0;
1083     CvMat *vectTmpSys3 = 0;
1084     CvMat *vectSysDeltaP = 0;
1085     CvMat *deltaP = 0;
1086     CvMat *deltaM = 0;
1087     CvMat *vectTmpSysM = 0;
1088
1089     int numPoints = 0;
1090
1091
1092     CV_FUNCNAME( "cvOptimizeLevenbergMarquardtBundle" );
1093     __BEGIN__;
1094
1095     /* ----- Test input params for errors ----- */
1096     if( numImages < 1 )
1097     {
1098         CV_ERROR( CV_StsOutOfRange, "Number of images must be more than zero" );
1099     }
1100     
1101     if( maxIter < 1 || maxIter > 2000 )
1102     {
1103         CV_ERROR( CV_StsOutOfRange, "Maximum number of iteration must be in [1..1000]" );
1104     }
1105     
1106     if( epsilon < 0  )
1107     {
1108         CV_ERROR( CV_StsOutOfRange, "Epsilon parameter must be >= 0" );
1109     }
1110     
1111     if( !CV_IS_MAT(resultPoints4D) )
1112     {
1113         CV_ERROR( CV_StsUnsupportedFormat, "resultPoints4D must be a matrix 4 x NumPnt" );
1114     }
1115
1116     numPoints = resultPoints4D->cols;
1117     if( numPoints < 1 )
1118     {
1119         CV_ERROR( CV_StsOutOfRange, "Number of points must be more than zero" );//!!!
1120     }
1121
1122     if( resultPoints4D->rows != 4 )
1123     {
1124         CV_ERROR( CV_StsOutOfRange, "resultPoints4D must have 4 cordinates" );
1125     }
1126
1127     /* ----- End test ----- */
1128
1129     /* Optimization using bundle adjustment */
1130     /* work with non visible points */
1131
1132     CV_CALL( vectorX_points4D  = cvCreateMat(4,numPoints,CV_64F));
1133     CV_CALL( vectorX_projMatrs = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages));
1134
1135     CV_CALL( newVectorX_points4D  = cvCreateMat(4,numPoints,CV_64F));
1136     CV_CALL( newVectorX_projMatrs = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages));
1137
1138     CV_CALL( changeVectorX_points4D  = cvCreateMat(4,numPoints,CV_64F));
1139     CV_CALL( changeVectorX_projMatrs = cvCreateMat(3,4,CV_64F));
1140
1141     int currImage;
1142     
1143     /* ----- Test input params ----- */
1144     for( currImage = 0; currImage < numImages; currImage++ )
1145     {
1146         /* Test size of input initial and result projection matrices */
1147         if( !CV_IS_MAT(projMatrs[currImage]) )
1148         {
1149             CV_ERROR( CV_StsUnsupportedFormat, "each of initial projMatrs must be a matrix 3 x 4" );
1150         }
1151         if( projMatrs[currImage]->rows != 3 || projMatrs[currImage]->cols != 4 )
1152         {
1153             CV_ERROR( CV_StsOutOfRange, "each of initial projMatrs must be a matrix 3 x 4" );
1154         }
1155
1156
1157         if( !CV_IS_MAT(observProjPoints[currImage]) )
1158         {
1159             CV_ERROR( CV_StsUnsupportedFormat, "each of observProjPoints must be a matrix 2 x NumPnts" );
1160         }
1161         if( observProjPoints[currImage]->rows != 2 || observProjPoints[currImage]->cols != numPoints )
1162         {
1163             CV_ERROR( CV_StsOutOfRange, "each of observProjPoints must be a matrix 2 x NumPnts" );
1164         }
1165
1166         if( !CV_IS_MAT(pointsPres[currImage]) )
1167         {
1168             CV_ERROR( CV_StsUnsupportedFormat, "each of pointsPres must be a matrix 1 x NumPnt" );
1169         }
1170         if( pointsPres[currImage]->rows != 1 || pointsPres[currImage]->cols != numPoints )
1171         {
1172             CV_ERROR( CV_StsOutOfRange, "each of pointsPres must be a matrix 1 x NumPnt" );
1173         }
1174
1175         if( !CV_IS_MAT(resultProjMatrs[currImage]) )
1176         {
1177             CV_ERROR( CV_StsUnsupportedFormat, "each of resultProjMatrs must be a matrix 3 x 4" );
1178         }
1179         if( resultProjMatrs[currImage]->rows != 3 || resultProjMatrs[currImage]->cols != 4 )
1180         {
1181             CV_ERROR( CV_StsOutOfRange, "each of resultProjMatrs must be a matrix 3 x 4" );
1182         }
1183
1184     }
1185     /* ----- End test ----- */
1186
1187     /* Copy projection matrices to vectorX0 */
1188     for( currImage = 0; currImage < numImages; currImage++ )
1189     {
1190         CV_CALL( vectorX_projMatrs[currImage] = cvCreateMat(3,4,CV_64F));
1191         CV_CALL( newVectorX_projMatrs[currImage] = cvCreateMat(3,4,CV_64F));
1192         cvCopy(projMatrs[currImage],vectorX_projMatrs[currImage]);
1193     }
1194
1195     /* Reconstruct points4D using projection matrices and status information */
1196     icvReconstructPoints4DStatus(observProjPoints, projMatrs, pointsPres, vectorX_points4D, numImages);
1197
1198     /* ----- Allocate memory for work matrices ----- */
1199     /* Compute number of good points on each images */
1200
1201     CV_CALL( observVisPoints = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages) );
1202     CV_CALL( projVisPoints   = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages) );
1203     CV_CALL( errorProjPoints = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages) );
1204     CV_CALL( DerivProj       = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages) );
1205     CV_CALL( DerivPoint      = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages) );
1206     CV_CALL( matrW           = cvCreateMat(12*numImages,4*numPoints,CV_64F) );
1207     CV_CALL( matrsUk         = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages) );
1208     CV_CALL( workMatrsUk     = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages) );
1209     CV_CALL( matrsVi         = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numPoints) );
1210     CV_CALL( workMatrVi      = cvCreateMat(4,4,CV_64F) );
1211     CV_CALL( workMatrsInvVi  = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numPoints) );
1212
1213     CV_CALL( jacProjErr      = cvCreateMat(12*numImages,1,CV_64F) );
1214     CV_CALL( jacPointErr     = cvCreateMat(4*numPoints,1,CV_64F) );
1215
1216
1217     int i;
1218     for( i = 0; i < numPoints; i++ )
1219     {
1220         CV_CALL( matrsVi[i]        = cvCreateMat(4,4,CV_64F) );
1221         CV_CALL( workMatrsInvVi[i] = cvCreateMat(4,4,CV_64F) );
1222     }
1223
1224     for( currImage = 0; currImage < numImages; currImage++ )
1225     {
1226         CV_CALL( matrsUk[currImage]     = cvCreateMat(12,12,CV_64F) );
1227         CV_CALL( workMatrsUk[currImage] = cvCreateMat(12,12,CV_64F) );
1228
1229         int currVisPoint = 0, currPoint, numVisPoint;
1230         for( currPoint = 0; currPoint < numPoints; currPoint++ )
1231         {
1232             if( cvmGet(pointsPres[currImage],0,currPoint) > 0 )
1233             {
1234                 currVisPoint++;
1235             }
1236         }
1237
1238         numVisPoint = currVisPoint;
1239
1240         /* Allocate memory for current image data */
1241         CV_CALL( observVisPoints[currImage]  = cvCreateMat(2,numVisPoint,CV_64F) );
1242         CV_CALL( projVisPoints[currImage]    = cvCreateMat(2,numVisPoint,CV_64F) );
1243
1244         /* create error matrix */
1245         CV_CALL( errorProjPoints[currImage] = cvCreateMat(2,numVisPoint,CV_64F) );
1246
1247         /* Create derivate matrices */
1248         CV_CALL( DerivProj[currImage]  = cvCreateMat(2*numVisPoint,12,CV_64F) );
1249         CV_CALL( DerivPoint[currImage] = cvCreateMat(2,numVisPoint*4,CV_64F) );
1250
1251         /* Copy observed projected visible points */
1252         currVisPoint = 0;
1253         for( currPoint = 0; currPoint < numPoints; currPoint++ )
1254         {
1255             if( cvmGet(pointsPres[currImage],0,currPoint) > 0 )
1256             {
1257                 cvmSet(observVisPoints[currImage],0,currVisPoint,cvmGet(observProjPoints[currImage],0,currPoint));
1258                 cvmSet(observVisPoints[currImage],1,currVisPoint,cvmGet(observProjPoints[currImage],1,currPoint));
1259                 currVisPoint++;
1260             }
1261         }
1262     }
1263     /*---------------------------------------------------*/
1264
1265     CV_CALL( matrTmpSys1   = cvCreateMat(numPoints*4, numImages*12, CV_64F) );
1266     CV_CALL( matrSysDeltaP = cvCreateMat(numImages*12, numImages*12, CV_64F) );
1267     CV_CALL( vectTmpSys3   = cvCreateMat(numPoints*4,1,CV_64F) );
1268     CV_CALL( vectSysDeltaP = cvCreateMat(numImages*12,1,CV_64F) );
1269     CV_CALL( deltaP        = cvCreateMat(numImages*12,1,CV_64F) );
1270     CV_CALL( deltaM        = cvCreateMat(numPoints*4,1,CV_64F) );
1271     CV_CALL( vectTmpSysM   = cvCreateMat(numPoints*4,1,CV_64F) );
1272
1273
1274 //#ifdef TRACK_BUNDLE
1275 #if 1
1276     {
1277         /* Create file to track */
1278         FILE* file;
1279         file = fopen( TRACK_BUNDLE_FILE ,"w");
1280         fprintf(file,"begin\n");
1281         fclose(file);
1282     }
1283 #endif
1284
1285     /* ============= main optimization loop ============== */
1286
1287     /* project all points using current vector X */
1288     icvProjPointsStatusFunc(numImages, vectorX_points4D, vectorX_projMatrs, pointsPres, projVisPoints);
1289
1290     /* Compute error with observed value and computed projection */
1291     double prevError;
1292     prevError = 0;
1293     for( currImage = 0; currImage < numImages; currImage++ )
1294     {
1295         cvSub(observVisPoints[currImage],projVisPoints[currImage],errorProjPoints[currImage]);
1296         double currNorm = cvNorm(errorProjPoints[currImage]);
1297         prevError += currNorm * currNorm;
1298     }
1299     prevError = sqrt(prevError);
1300
1301     int currIter;
1302     double change;
1303     double alpha;
1304
1305 //#ifdef TRACK_BUNDLE
1306 #if 1
1307     {
1308         /* Create file to track */
1309         FILE* file;
1310         file = fopen( TRACK_BUNDLE_FILE ,"a");
1311         fprintf(file,"\n========================================\n");;
1312         fprintf(file,"Iter=0\n");
1313         fprintf(file,"Error = %20.15lf\n",prevError);
1314         fprintf(file,"Change = %20.15lf\n",1.0);
1315
1316         fprintf(file,"projection errors\n");
1317
1318         /* Print all proejction errors */
1319         int currImage;
1320         for( currImage = 0; currImage < numImages; currImage++)
1321         {
1322             fprintf(file,"\nImage=%d\n",currImage);
1323             int numPn = errorProjPoints[currImage]->cols;
1324             for( int currPoint = 0; currPoint < numPn; currPoint++ )
1325             {
1326                 double ex,ey;
1327                 ex = cvmGet(errorProjPoints[currImage],0,currPoint);
1328                 ey = cvmGet(errorProjPoints[currImage],1,currPoint);
1329                 fprintf(file,"%40.35lf, %40.35lf\n",ex,ey);
1330             }
1331         }
1332         fclose(file);
1333     }
1334 #endif
1335
1336     currIter = 0;
1337     change = 1;
1338     alpha = 0.001;
1339
1340
1341     do
1342     {
1343
1344 #ifdef TRACK_BUNDLE
1345         {
1346             FILE *file;
1347             file = fopen( TRACK_BUNDLE_FILE ,"a");
1348             fprintf(file,"\n----- test 6 do main -----\n");
1349
1350             double norm = cvNorm(vectorX_points4D);
1351             fprintf(file,"        test 6.01 prev normPnts=%lf\n",norm);
1352
1353             for( int i=0;i<numImages;i++ )
1354             {
1355                 double norm = cvNorm(vectorX_projMatrs[i]);
1356                 fprintf(file,"        test 6.01 prev normProj=%lf\n",norm);
1357             }
1358             
1359             fclose(file);
1360         }
1361 #endif
1362
1363         /* Compute derivates by projectinon matrices */
1364         icvComputeDerivateProjAll(vectorX_points4D,vectorX_projMatrs,pointsPres,numImages,DerivProj);
1365
1366         /* Compute derivates by 4D points */
1367         icvComputeDerivatePointsAll(vectorX_points4D,vectorX_projMatrs,pointsPres,numImages,DerivPoint);
1368
1369         /* Compute matrces Uk */
1370         icvComputeMatrixUAll(numImages,DerivProj,matrsUk);
1371         icvComputeMatrixVAll(numImages,DerivPoint,pointsPres,matrsVi);
1372         icvComputeMatrixW(numImages,DerivProj,DerivPoint,pointsPres,matrW);
1373
1374
1375 #ifdef TRACK_BUNDLE
1376         {
1377             FILE *file;
1378             file = fopen( TRACK_BUNDLE_FILE ,"a");
1379             fprintf(file,"\n----- test 6.03 do matrs U V -----\n");
1380
1381             int i;
1382             for( i = 0; i < numImages; i++ )
1383             {
1384                 double norm = cvNorm(matrsUk[i]);
1385                 fprintf(file,"        test 6.01 prev matrsUk=%lf\n",norm);
1386             }
1387             
1388             for( i = 0; i < numPoints; i++ )
1389             {
1390                 double norm = cvNorm(matrsVi[i]);
1391                 fprintf(file,"        test 6.01 prev matrsVi=%lf\n",norm);
1392             }
1393
1394             fclose(file);
1395         }
1396 #endif
1397
1398         /* Compute jac errors */
1399         icvComputeJacErrorProj(numImages, DerivProj, errorProjPoints, jacProjErr);
1400         icvComputeJacErrorPoint(numImages, DerivPoint, errorProjPoints, pointsPres, jacPointErr);
1401
1402 #ifdef TRACK_BUNDLE
1403         {
1404             FILE *file;
1405             file = fopen( TRACK_BUNDLE_FILE ,"a");
1406             fprintf(file,"\n----- test 6 do main -----\n");
1407             double norm1 = cvNorm(vectorX_points4D);
1408             fprintf(file,"        test 6.02 post normPnts=%lf\n",norm1);
1409             fclose(file);
1410         }
1411 #endif
1412         /* Copy matrices Uk to work matrices Uk */
1413         for( currImage = 0; currImage < numImages; currImage++ )
1414         {
1415             cvCopy(matrsUk[currImage],workMatrsUk[currImage]);
1416         }
1417
1418 #ifdef TRACK_BUNDLE
1419         {
1420             FILE *file;
1421             file = fopen( TRACK_BUNDLE_FILE ,"a");
1422             fprintf(file,"\n----- test 60.3 do matrs U V -----\n");
1423
1424             int i;
1425             for( i = 0; i < numImages; i++ )
1426             {
1427                 double norm = cvNorm(matrsUk[i]);
1428                 fprintf(file,"        test 6.01 post1 matrsUk=%lf\n",norm);
1429             }
1430             
1431             for( i = 0; i < numPoints; i++ )
1432             {
1433                 double norm = cvNorm(matrsVi[i]);
1434                 fprintf(file,"        test 6.01 post1 matrsVi=%lf\n",norm);
1435             }
1436
1437             fclose(file);
1438         }
1439 #endif
1440
1441         /* ========== Solve normal equation for given alpha and Jacobian ============ */
1442
1443         do
1444         {
1445             /* ---- Add alpha to matrices --- */
1446             /* Add alpha to matrInvVi and make workMatrsInvVi */
1447
1448             int currV;
1449             for( currV = 0; currV < numPoints; currV++ )
1450             {
1451                 cvCopy(matrsVi[currV],workMatrVi);
1452
1453                 for( int i = 0; i < 4; i++ )
1454                 {
1455                     cvmSet(workMatrVi,i,i,cvmGet(matrsVi[currV],i,i)*(1+alpha) );
1456                 }
1457
1458                 cvInvert(workMatrVi,workMatrsInvVi[currV],CV_LU/*,&currV*/);
1459             }
1460
1461             /* Add alpha to matrUk and make matrix workMatrsUk */
1462             for( currImage = 0; currImage< numImages; currImage++ )
1463             {
1464
1465                 for( i = 0; i < 12; i++ )
1466                 {
1467                     cvmSet(workMatrsUk[currImage],i,i,cvmGet(matrsUk[currImage],i,i)*(1+alpha));
1468                 }
1469
1470
1471             }
1472
1473             /* Fill matrix to make system for computing delta P (matrTmpSys1 = inv(V)*tr(W) )*/
1474             for( currV = 0; currV < numPoints; currV++ )
1475             {
1476                 int currRowV;
1477                 for( currRowV = 0; currRowV < 4; currRowV++ )
1478                 {
1479                     for( currImage = 0; currImage < numImages; currImage++ )
1480                     {
1481                         for( int currCol = 0; currCol < 12; currCol++ )/* For each column of transposed matrix W */
1482                         {
1483                             double sum = 0;
1484                             for( i = 0; i < 4; i++ )
1485                             {
1486                                 sum += cvmGet(workMatrsInvVi[currV],currRowV,i) *
1487                                        cvmGet(matrW,currImage*12+currCol,currV*4+i);
1488                             }
1489                             cvmSet(matrTmpSys1,currV*4+currRowV,currImage*12+currCol,sum);
1490                         }
1491                     }
1492                 }
1493             }
1494
1495
1496             /* Fill matrix to make system for computing delta P (matrTmpSys2 = W * matrTmpSys ) */
1497             cvmMul(matrW,matrTmpSys1,matrSysDeltaP);
1498
1499             /* need to compute U-matrTmpSys2. But we compute matTmpSys2-U */
1500             for( currImage = 0; currImage < numImages; currImage++ )
1501             {
1502                 CvMat subMatr;
1503                 cvGetSubRect(matrSysDeltaP,&subMatr,cvRect(currImage*12,currImage*12,12,12));
1504                 cvSub(&subMatr,workMatrsUk[currImage],&subMatr);
1505             }
1506
1507             /* Compute right side of normal equation  */
1508             for( currV = 0; currV < numPoints; currV++ )
1509             {
1510                 CvMat subMatrErPnts;
1511                 CvMat subMatr;
1512                 cvGetSubRect(jacPointErr,&subMatrErPnts,cvRect(0,currV*4,1,4));
1513                 cvGetSubRect(vectTmpSys3,&subMatr,cvRect(0,currV*4,1,4));
1514                 cvmMul(workMatrsInvVi[currV],&subMatrErPnts,&subMatr);
1515             }
1516
1517             cvmMul(matrW,vectTmpSys3,vectSysDeltaP);
1518             cvSub(vectSysDeltaP,jacProjErr,vectSysDeltaP);
1519
1520             /* Now we can compute part of normal system - deltaP */
1521             cvSolve(matrSysDeltaP ,vectSysDeltaP, deltaP, CV_SVD);
1522
1523             /* Print deltaP to file */
1524
1525 #ifdef TRACK_BUNDLE
1526             {
1527                 FILE* file;
1528                 file = fopen( TRACK_BUNDLE_FILE_DELTAP ,"w");
1529
1530                 int currImage;
1531                 for( currImage = 0; currImage < numImages; currImage++ )
1532                 {
1533                     fprintf(file,"\nImage=%d\n",currImage);
1534                     int i;
1535                     for( i = 0; i < 12; i++ )
1536                     {
1537                         double val;
1538                         val = cvmGet(deltaP,currImage*12+i,0);
1539                         fprintf(file,"%lf\n",val);
1540                     }
1541                     fprintf(file,"\n");
1542                 }
1543                 fclose(file);
1544             }
1545 #endif
1546             /* We know deltaP and now we can compute system for deltaM */
1547             for( i = 0; i < numPoints * 4; i++ )
1548             {
1549                 double sum = 0;
1550                 for( int j = 0; j < numImages * 12; j++ )
1551                 {
1552                     sum += cvmGet(matrW,j,i) * cvmGet(deltaP,j,0);
1553                 }
1554                 cvmSet(vectTmpSysM,i,0,cvmGet(jacPointErr,i,0)-sum);
1555             }
1556
1557             /* Compute deltaM */
1558             for( currV = 0; currV < numPoints; currV++ )
1559             {
1560                 CvMat subMatr;
1561                 CvMat subMatrM;
1562                 cvGetSubRect(vectTmpSysM,&subMatr,cvRect(0,currV*4,1,4));
1563                 cvGetSubRect(deltaM,&subMatrM,cvRect(0,currV*4,1,4));
1564                 cvmMul(workMatrsInvVi[currV],&subMatr,&subMatrM);
1565             }
1566
1567             /* We know delta and compute new value of vector X: nextVectX = vectX + deltas */
1568
1569             /* Compute new P */
1570             for( currImage = 0; currImage < numImages; currImage++ )
1571             {
1572                 for( i = 0; i < 3; i++ )
1573                 {
1574                     for( int j = 0; j < 4; j++ )
1575                     {
1576                         cvmSet(newVectorX_projMatrs[currImage],i,j,
1577                                 cvmGet(vectorX_projMatrs[currImage],i,j) + cvmGet(deltaP,currImage*12+i*4+j,0));
1578                     }
1579                 }
1580             }
1581
1582             /* Compute new M */
1583             int currPoint;
1584             for( currPoint = 0; currPoint < numPoints; currPoint++ )
1585             {
1586                 for( i = 0; i < 4; i++ )
1587                 {
1588                     cvmSet(newVectorX_points4D,i,currPoint,
1589                         cvmGet(vectorX_points4D,i,currPoint) + cvmGet(deltaM,currPoint*4+i,0));
1590                 }
1591             }
1592
1593             /* ----- Compute errors for new vectorX ----- */
1594             /* Project points using new vectorX and status of each point */
1595             icvProjPointsStatusFunc(numImages, newVectorX_points4D, newVectorX_projMatrs, pointsPres, projVisPoints);
1596             /* Compute error with observed value and computed projection */
1597             double newError = 0;
1598             for( currImage = 0; currImage < numImages; currImage++ )
1599             {
1600                 cvSub(observVisPoints[currImage],projVisPoints[currImage],errorProjPoints[currImage]);
1601                 double currNorm = cvNorm(errorProjPoints[currImage]);
1602
1603 //#ifdef TRACK_BUNDLE
1604 #if 1
1605                 {
1606                     FILE *file;
1607                     file = fopen( TRACK_BUNDLE_FILE ,"a");
1608                     fprintf(file,"\n----- test 13,01 currImage=%d currNorm=%lf -----\n",currImage,currNorm);
1609                     fclose(file);
1610                 }
1611 #endif
1612                 newError += currNorm * currNorm;
1613             }
1614             newError = sqrt(newError);
1615             
1616             currIter++;
1617
1618
1619
1620
1621 //#ifdef TRACK_BUNDLE
1622 #if 1
1623             {
1624                 /* Create file to track */
1625                 FILE* file;
1626                 file = fopen( TRACK_BUNDLE_FILE ,"a");
1627                 fprintf(file,"\n========================================\n");
1628                 fprintf(file,"numPoints=%d\n",numPoints);
1629                 fprintf(file,"Iter=%d\n",currIter);
1630                 fprintf(file,"Error = %20.15lf\n",newError);
1631                 fprintf(file,"Change = %20.15lf\n",change);
1632
1633
1634                 /* Print all projection errors */
1635 #if 0
1636                 fprintf(file,"projection errors\n");
1637                 int currImage;
1638                 for( currImage = 0; currImage < numImages; currImage++)
1639                 {
1640                     fprintf(file,"\nImage=%d\n",currImage);
1641                     int numPn = errorProjPoints[currImage]->cols;
1642                     for( int currPoint = 0; currPoint < numPn; currPoint++ )
1643                     {
1644                         double ex,ey;
1645                         ex = cvmGet(errorProjPoints[currImage],0,currPoint);
1646                         ey = cvmGet(errorProjPoints[currImage],1,currPoint);
1647                         fprintf(file,"%lf,%lf\n",ex,ey);
1648                     }
1649                 }
1650                 fprintf(file,"\n---- test 0 -----\n");
1651 #endif
1652
1653                 fclose(file);
1654             }
1655 #endif
1656
1657
1658
1659             /* Compare new error and last error */
1660             if( newError < prevError )
1661             {/* accept new value */
1662                 prevError = newError;
1663                 /* Compute relative change of required parameter vectorX. change = norm(curr-prev) / norm(curr) )  */
1664                 {
1665                     double normAll1 = 0;
1666                     double normAll2 = 0;
1667                     double currNorm1 = 0;
1668                     double currNorm2 = 0;
1669                     /* compute norm for projection matrices */
1670                     for( currImage = 0; currImage < numImages; currImage++ )
1671                     {
1672                         currNorm1 = cvNorm(newVectorX_projMatrs[currImage],vectorX_projMatrs[currImage]);
1673                         currNorm2 = cvNorm(newVectorX_projMatrs[currImage]);
1674
1675                         normAll1 += currNorm1 * currNorm1;
1676                         normAll2 += currNorm2 * currNorm2;
1677                     }
1678
1679                     /* compute norm for points */
1680                     currNorm1 = cvNorm(newVectorX_points4D,vectorX_points4D);
1681                     currNorm2 = cvNorm(newVectorX_points4D);
1682
1683                     normAll1 += currNorm1 * currNorm1;
1684                     normAll2 += currNorm2 * currNorm2;
1685
1686                     /* compute change */
1687                     change = sqrt(normAll1) / sqrt(normAll2);
1688
1689
1690 //#ifdef TRACK_BUNDLE
1691 #if 1
1692                     {
1693                         /* Create file to track */
1694                         FILE* file;
1695                         file = fopen( TRACK_BUNDLE_FILE ,"a");
1696                         fprintf(file,"\nChange inside newVal change = %20.15lf\n",change);
1697                         fprintf(file,"   normAll1= %20.15lf\n",sqrt(normAll1));
1698                         fprintf(file,"   normAll2= %20.15lf\n",sqrt(normAll2));
1699
1700                         fclose(file);
1701                     }
1702 #endif
1703
1704                 }
1705
1706                 alpha /= 10;
1707                 for( currImage = 0; currImage < numImages; currImage++ )
1708                 {
1709                     cvCopy(newVectorX_projMatrs[currImage],vectorX_projMatrs[currImage]);
1710                 }
1711                 cvCopy(newVectorX_points4D,vectorX_points4D);
1712
1713                 break;
1714             }
1715             else
1716             {
1717                 alpha *= 10;
1718             }
1719
1720         } while( change > epsilon && currIter < maxIter );/* solve normal equation using current alpha */
1721
1722 //#ifdef TRACK_BUNDLE
1723 #if 1
1724         {
1725             FILE* file;
1726             file = fopen( TRACK_BUNDLE_FILE ,"a");
1727             fprintf(file,"\nBest error = %40.35lf\n",prevError);
1728             fclose(file);
1729         }
1730
1731 #endif
1732
1733
1734     } while( change > epsilon && currIter < maxIter );
1735      
1736     /*--------------------------------------------*/
1737     /* Optimization complete copy computed params */
1738     /* Copy projection matrices */
1739     for( currImage = 0; currImage < numImages; currImage++ )
1740     {
1741         cvCopy(newVectorX_projMatrs[currImage],resultProjMatrs[currImage]);
1742     }
1743     /* Copy 4D points */
1744     cvCopy(newVectorX_points4D,resultPoints4D);
1745
1746 //    free(memory);
1747
1748     __END__;
1749
1750     /* Free allocated memory */
1751
1752     /* Free simple matrices */
1753     cvFree(&vectorX_points4D);
1754     cvFree(&newVectorX_points4D);
1755     cvFree(&changeVectorX_points4D);
1756     cvFree(&changeVectorX_projMatrs);
1757     cvFree(&matrW);
1758     cvFree(&workMatrVi);
1759     cvFree(&jacProjErr);
1760     cvFree(&jacPointErr);
1761     cvFree(&matrTmpSys1);
1762     cvFree(&matrSysDeltaP);
1763     cvFree(&vectTmpSys3);
1764     cvFree(&vectSysDeltaP);
1765     cvFree(&deltaP);
1766     cvFree(&deltaM);
1767     cvFree(&vectTmpSysM);
1768
1769     /* Free arrays of matrices */
1770     icvFreeMatrixArray(&vectorX_projMatrs,numImages);
1771     icvFreeMatrixArray(&newVectorX_projMatrs,numImages);
1772     icvFreeMatrixArray(&observVisPoints,numImages);
1773     icvFreeMatrixArray(&projVisPoints,numImages);
1774     icvFreeMatrixArray(&errorProjPoints,numImages);
1775     icvFreeMatrixArray(&DerivProj,numImages);
1776     icvFreeMatrixArray(&DerivPoint,numImages);
1777     icvFreeMatrixArray(&matrsUk,numImages);
1778     icvFreeMatrixArray(&workMatrsUk,numImages);
1779     icvFreeMatrixArray(&matrsVi,numPoints);
1780     icvFreeMatrixArray(&workMatrsInvVi,numPoints);
1781
1782     return;
1783 }