Update to 2.0.0 tree from current Fremantle build
[opencv] / src / cvaux / cvlevmarprojbandle.cpp
diff --git a/src/cvaux/cvlevmarprojbandle.cpp b/src/cvaux/cvlevmarprojbandle.cpp
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+/*M///////////////////////////////////////////////////////////////////////////////////////
+//
+//  IMPORTANT: READ BEFORE DOWNLOADING, COPYING, INSTALLING OR USING.
+//
+//  By downloading, copying, installing or using the software you agree to this license.
+//  If you do not agree to this license, do not download, install,
+//  copy or use the software.
+//
+//
+//                        Intel License Agreement
+//                For Open Source Computer Vision Library
+//
+// Copyright (C) 2000, Intel Corporation, all rights reserved.
+// Third party copyrights are property of their respective owners.
+//
+// Redistribution and use in source and binary forms, with or without modification,
+// are permitted provided that the following conditions are met:
+//
+//   * Redistribution's of source code must retain the above copyright notice,
+//     this list of conditions and the following disclaimer.
+//
+//   * Redistribution's in binary form must reproduce the above copyright notice,
+//     this list of conditions and the following disclaimer in the documentation
+//     and/or other materials provided with the distribution.
+//
+//   * The name of Intel Corporation may not be used to endorse or promote products
+//     derived from this software without specific prior written permission.
+//
+// This software is provided by the copyright holders and contributors "as is" and
+// any express or implied warranties, including, but not limited to, the implied
+// warranties of merchantability and fitness for a particular purpose are disclaimed.
+// In no event shall the Intel Corporation or contributors be liable for any direct,
+// indirect, incidental, special, exemplary, or consequential damages
+// (including, but not limited to, procurement of substitute goods or services;
+// loss of use, data, or profits; or business interruption) however caused
+// and on any theory of liability, whether in contract, strict liability,
+// or tort (including negligence or otherwise) arising in any way out of
+// the use of this software, even if advised of the possibility of such damage.
+//
+//M*/
+
+
+#include "_cvaux.h"
+//#include "cvtypes.h"
+#include <float.h>
+#include <limits.h>
+//#include "cv.h"
+
+#include <stdio.h>
+
+void icvReconstructPoints4DStatus(CvMat** projPoints, CvMat **projMatrs, CvMat** presPoints, CvMat *points4D,int numImages,CvMat **projError=0);
+
+/* Valery Mosyagin */
+
+/* If you want to save internal debug info to files uncomment next lines and set paths to files if need */
+/* Note these file may be very large */
+/*
+#define TRACK_BUNDLE
+#define TRACK_BUNDLE_FILE            "d:\\test\\bundle.txt"
+#define TRACK_BUNDLE_FILE_JAC        "d:\\test\\bundle.txt"
+#define TRACK_BUNDLE_FILE_JACERRPROJ "d:\\test\\JacErrProj.txt"
+#define TRACK_BUNDLE_FILE_JACERRPNT  "d:\\test\\JacErrPoint.txt"
+#define TRACK_BUNDLE_FILE_MATRW      "d:\\test\\matrWt.txt"
+#define TRACK_BUNDLE_FILE_DELTAP     "d:\\test\\deltaP.txt"
+*/
+#define TRACK_BUNDLE_FILE            "d:\\test\\bundle.txt"
+
+
+/* ============== Bundle adjustment optimization ================= */
+void icvComputeDerivateProj(CvMat *points4D,CvMat *projMatr, CvMat *status, CvMat *derivProj)
+{
+    /* Compute derivate for given projection matrix points and status of points */
+
+    CV_FUNCNAME( "icvComputeDerivateProj" );
+    __BEGIN__;
+
+
+    /* ----- Test input params for errors ----- */
+    if( points4D == 0 || projMatr == 0 || status == 0 || derivProj == 0)
+    {
+        CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
+    }
+
+    if( !CV_IS_MAT(points4D) )
+    {
+        CV_ERROR( CV_StsUnsupportedFormat, "points4D must be a matrix 4xN" );
+    }
+
+    /* Compute number of points */
+    int numPoints;
+    numPoints = points4D->cols;
+
+    if( numPoints < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of points4D must be more than zero" );
+    }
+
+    if( points4D->rows != 4 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of coordinates of points4D must be 4" );
+    }
+
+    if( !CV_IS_MAT(projMatr) )
+    {
+        CV_ERROR( CV_StsUnsupportedFormat, "projMatr must be a matrix 3x4" );
+    }
+
+    if( projMatr->rows != 3 || projMatr->cols != 4 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Size of projection matrix (projMatr) must be 3x4" );
+    }
+
+    if( !CV_IS_MAT(status) )
+    {
+        CV_ERROR( CV_StsUnsupportedFormat, "Status must be a matrix 1xN" );
+    }
+
+    if( status->rows != 1 || status->cols != numPoints )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Size of status of points must be 1xN" );
+    }
+
+    if( !CV_IS_MAT(derivProj) )
+    {
+        CV_ERROR( CV_StsUnsupportedFormat, "derivProj must be a matrix VisN x 12" );
+    }
+
+    if( derivProj->cols != 12 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "derivProj must be a matrix VisN x 12" );
+    }
+    /* ----- End test ----- */
+
+    int i;
+
+    /* Allocate memory for derivates */
+
+    double p[12];
+    /* Copy projection matrix */
+    for( i = 0; i < 12; i++ )
+    {
+        p[i] = cvmGet(projMatr,i/4,i%4);
+    }
+
+    /* Fill deriv matrix */
+    int currVisPoint;
+    int currPoint;
+
+    currVisPoint = 0;
+    for( currPoint = 0; currPoint < numPoints; currPoint++ )
+    {
+        if( cvmGet(status,0,currPoint) > 0 )
+        {
+            double X[4];
+            X[0] = cvmGet(points4D,0,currVisPoint);
+            X[1] = cvmGet(points4D,1,currVisPoint);
+            X[2] = cvmGet(points4D,2,currVisPoint);
+            X[3] = cvmGet(points4D,3,currVisPoint);
+
+            /* Compute derivate for this point */
+
+            double piX[3];
+            piX[0] = X[0]*p[0] + X[1]*p[1] + X[2]*p[2]  + X[3]*p[3];
+            piX[1] = X[0]*p[4] + X[1]*p[5] + X[2]*p[6]  + X[3]*p[7];
+            piX[2] = X[0]*p[8] + X[1]*p[9] + X[2]*p[10] + X[3]*p[11];
+
+            int i;
+            /* fill derivate by point */
+
+            double tmp3 = 1/(piX[2]*piX[2]);
+
+            double tmp1 = -piX[0]*tmp3;
+            double tmp2 = -piX[1]*tmp3;
+
+            /* fill derivate by projection matrix */
+            for( i = 0; i < 4; i++ )
+            {
+                /* derivate for x */
+                cvmSet(derivProj,currVisPoint*2,i,X[i]/piX[2]);//x' p1i
+                cvmSet(derivProj,currVisPoint*2,4+i,0);//x' p1i
+                cvmSet(derivProj,currVisPoint*2,8+i,X[i]*tmp1);//x' p3i
+
+                /* derivate for y */
+                cvmSet(derivProj,currVisPoint*2+1,i,0);//y' p2i
+                cvmSet(derivProj,currVisPoint*2+1,4+i,X[i]/piX[2]);//y' p2i
+                cvmSet(derivProj,currVisPoint*2+1,8+i,X[i]*tmp2);//y' p3i
+            }
+
+            currVisPoint++;
+        }
+    }
+
+    if( derivProj->rows != currVisPoint * 2 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "derivProj must be a matrix 2VisN x 12" );
+    }
+
+
+    __END__;
+    return;
+}
+/*======================================================================================*/
+
+void icvComputeDerivateProjAll(CvMat *points4D, CvMat **projMatrs, CvMat **pointPres, int numImages,CvMat **projDerives)
+{
+    CV_FUNCNAME( "icvComputeDerivateProjAll" );
+    __BEGIN__;
+
+    /* ----- Test input params for errors ----- */
+    if( numImages < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of images must more than zero" );
+    }
+    if( projMatrs == 0 || pointPres == 0 || projDerives == 0 )
+    {
+        CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
+    }
+    /* ----- End test ----- */
+
+    int currImage;
+    for( currImage = 0; currImage < numImages; currImage++ )
+    {
+        icvComputeDerivateProj(points4D,projMatrs[currImage], pointPres[currImage], projDerives[currImage]);
+    }
+
+    __END__;
+    return;
+}
+/*======================================================================================*/
+
+void icvComputeDerivatePoints(CvMat *points4D,CvMat *projMatr, CvMat *presPoints, CvMat *derivPoint)
+{
+
+    CV_FUNCNAME( "icvComputeDerivatePoints" );
+    __BEGIN__;
+
+    /* ----- Test input params for errors ----- */
+    if( points4D == 0 || projMatr == 0 || presPoints == 0 || derivPoint == 0)
+    {
+        CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
+    }
+
+    if( !CV_IS_MAT(points4D) )
+    {
+        CV_ERROR( CV_StsUnsupportedFormat, "points4D must be a matrix N x 4" );
+    }
+
+    int numPoints;
+    numPoints = presPoints->cols;
+
+    if( numPoints < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of points must be more than zero" );
+    }
+
+    if( points4D->rows != 4 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "points4D must be a matrix N x 4" );
+    }
+
+    if( !CV_IS_MAT(projMatr) )
+    {
+        CV_ERROR( CV_StsUnsupportedFormat, "projMatr must be a matrix 3x4" );
+    }
+
+    if( projMatr->rows != 3 || projMatr->cols != 4 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Size of projection matrix (projMatr) must be 3x4" );
+    }
+    
+    if( !CV_IS_MAT(presPoints) )
+    {
+        CV_ERROR( CV_StsUnsupportedFormat, "Status must be a matrix 1xN" );
+    }
+
+    if( presPoints->rows != 1 || presPoints->cols != numPoints )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Size of presPoints status must be 1xN" );
+    }
+
+    if( !CV_IS_MAT(derivPoint) )
+    {
+        CV_ERROR( CV_StsUnsupportedFormat, "derivPoint must be a matrix 2 x 4VisNum" );
+    }
+    /* ----- End test ----- */    
+    
+    /* Compute derivates by points */
+        
+    double p[12];
+    int i;
+    for( i = 0; i < 12; i++ )
+    {
+        p[i] = cvmGet(projMatr,i/4,i%4);
+    }
+
+    int currVisPoint;
+    int currProjPoint;
+
+    currVisPoint = 0;
+    for( currProjPoint = 0; currProjPoint < numPoints; currProjPoint++ )
+    {
+        if( cvmGet(presPoints,0,currProjPoint) > 0 )
+        {
+            double X[4];
+            X[0] = cvmGet(points4D,0,currProjPoint);
+            X[1] = cvmGet(points4D,1,currProjPoint);
+            X[2] = cvmGet(points4D,2,currProjPoint);
+            X[3] = cvmGet(points4D,3,currProjPoint);
+
+            double piX[3];
+            piX[0] = X[0]*p[0] + X[1]*p[1] + X[2]*p[2]  + X[3]*p[3];
+            piX[1] = X[0]*p[4] + X[1]*p[5] + X[2]*p[6]  + X[3]*p[7];
+            piX[2] = X[0]*p[8] + X[1]*p[9] + X[2]*p[10] + X[3]*p[11];
+            
+            int i,j;
+
+            double tmp3 = 1/(piX[2]*piX[2]);
+                      
+            for( j = 0; j < 2; j++ )//for x and y
+            {
+                for( i = 0; i < 4; i++ )// for X,Y,Z,W
+                {
+                    cvmSet( derivPoint, 
+                            j, currVisPoint*4+i,
+                            (p[j*4+i]*piX[2]-p[8+i]*piX[j]) * tmp3  );
+                }
+            }
+            currVisPoint++;
+        }
+    }
+
+    if( derivPoint->rows != 2 || derivPoint->cols != currVisPoint*4 )
+    {
+        CV_ERROR( CV_StsUnsupportedFormat, "derivPoint must be a matrix 2 x 4VisNum" );
+    }
+
+    __END__;
+    return;
+}
+/*======================================================================================*/
+void icvComputeDerivatePointsAll(CvMat *points4D, CvMat **projMatrs, CvMat **pointPres, int numImages,CvMat **pointDerives)
+{
+    CV_FUNCNAME( "icvComputeDerivatePointsAll" );
+    __BEGIN__;
+
+    /* ----- Test input params for errors ----- */
+    if( numImages < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of images must more than zero" );
+    }
+    if( projMatrs == 0 || pointPres == 0 || pointDerives == 0 )
+    {
+        CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
+    }
+    /* ----- End test ----- */
+
+    int currImage;
+    for( currImage = 0; currImage < numImages; currImage++ )
+    {
+        icvComputeDerivatePoints(points4D, projMatrs[currImage], pointPres[currImage], pointDerives[currImage]);
+    }
+
+    __END__;
+    return;
+}
+/*======================================================================================*/
+void icvComputeMatrixVAll(int numImages,CvMat **pointDeriv,CvMat **presPoints, CvMat **matrV)
+{
+    int *shifts = 0;
+
+    CV_FUNCNAME( "icvComputeMatrixVAll" );
+    __BEGIN__;
+
+    /* ----- Test input params for errors ----- */
+    if( numImages < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of images must more than zero" );
+    }
+    if( pointDeriv == 0 || presPoints == 0 || matrV == 0 )
+    {
+        CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
+    }
+    /*  !!! not tested all parameters */
+    /* ----- End test ----- */
+
+    /* Compute all matrices U */
+    int currImage;
+    int currPoint;
+    int numPoints;
+    numPoints = presPoints[0]->cols;
+    CV_CALL(shifts = (int*)cvAlloc(sizeof(int)*numImages));
+    memset(shifts,0,sizeof(int)*numImages);
+
+    for( currPoint = 0; currPoint < numPoints; currPoint++ )//For each point (matrix V)
+    {
+        int i,j;
+
+        for( i = 0; i < 4; i++ )
+        {
+            for( j = 0; j < 4; j++ )
+            {
+                double sum = 0;
+                for( currImage = 0; currImage < numImages; currImage++ )
+                {
+                    if( cvmGet(presPoints[currImage],0,currPoint) > 0 )
+                    {
+                        sum += cvmGet(pointDeriv[currImage],0,shifts[currImage]*4+i) * 
+                               cvmGet(pointDeriv[currImage],0,shifts[currImage]*4+j);
+
+                        sum += cvmGet(pointDeriv[currImage],1,shifts[currImage]*4+i) * 
+                               cvmGet(pointDeriv[currImage],1,shifts[currImage]*4+j);
+                    }
+                }
+
+                cvmSet(matrV[currPoint],i,j,sum);
+            }
+        }
+
+
+        /* shift position of visible points */
+        for( currImage = 0; currImage < numImages; currImage++ )
+        {
+            if( cvmGet(presPoints[currImage],0,currPoint) > 0 )
+            {
+                shifts[currImage]++;
+            }
+        }
+    }
+
+    __END__;
+    cvFree( &shifts);
+    
+    return;
+}
+/*======================================================================================*/
+void icvComputeMatrixUAll(int numImages,CvMat **projDeriv,CvMat** matrU)
+{
+    CV_FUNCNAME( "icvComputeMatrixVAll" );
+    __BEGIN__;
+    /* ----- Test input params for errors ----- */
+    if( numImages < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of images must more than zero" );
+    }
+    if( projDeriv == 0 || matrU == 0 )
+    {
+        CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
+    }
+    /* !!! Not tested all input parameters */
+    /* ----- End test ----- */
+
+    /* Compute matrices V */
+    int currImage;
+    for( currImage = 0; currImage < numImages; currImage++ )
+    {
+        cvMulTransposed(projDeriv[currImage],matrU[currImage],1);
+    }
+
+    __END__;
+    return;
+}
+/*======================================================================================*/
+void icvComputeMatrixW(int numImages, CvMat **projDeriv, CvMat **pointDeriv, CvMat **presPoints, CvMat *matrW)
+{
+    CV_FUNCNAME( "icvComputeMatrixW" );
+    __BEGIN__;
+
+    /* ----- Test input params for errors ----- */
+    if( numImages < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of images must more than zero" );
+    }
+    if( projDeriv == 0 || pointDeriv == 0 || presPoints == 0 || matrW == 0 )
+    {
+        CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
+    }
+    int numPoints;
+    numPoints = presPoints[0]->cols;
+    if( numPoints < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of points must more than zero" );
+    }
+    if( !CV_IS_MAT(matrW) )
+    {
+        CV_ERROR( CV_StsUnsupportedFormat, "matrW must be a matrix 12NumIm x 4NumPnt" );
+    }
+    if( matrW->rows != numImages*12 || matrW->cols != numPoints*4 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "matrW must be a matrix 12NumIm x 4NumPnt" );
+    }
+    /* !!! Not tested all input parameters */
+    /* ----- End test ----- */
+
+    /* Compute number of points */
+    /* Compute matrix W using derivate proj and points */
+
+    int currImage;
+
+    for( currImage = 0; currImage < numImages; currImage++ )
+    {
+        for( int currLine = 0; currLine < 12; currLine++ )
+        {
+            int currVis = 0;
+            for( int currPoint = 0; currPoint < numPoints; currPoint++ )
+            {
+                if( cvmGet(presPoints[currImage],0,currPoint) > 0 )
+                {
+
+                    for( int currCol = 0; currCol < 4; currCol++ )
+                    {
+                        double sum;
+                        sum = cvmGet(projDeriv[currImage],currVis*2+0,currLine) * 
+                              cvmGet(pointDeriv[currImage],0,currVis*4+currCol);
+
+                        sum += cvmGet(projDeriv[currImage],currVis*2+1,currLine) * 
+                              cvmGet(pointDeriv[currImage],1,currVis*4+currCol);
+
+                        cvmSet(matrW,currImage*12+currLine,currPoint*4+currCol,sum);
+                    }
+                    currVis++;
+                }
+                else
+                {/* set all sub elements to zero */
+                    for( int currCol = 0; currCol < 4; currCol++ )
+                    {
+                        cvmSet(matrW,currImage*12+currLine,currPoint*4+currCol,0);
+                    }
+                }
+            }
+        }
+    }
+    
+#ifdef TRACK_BUNDLE
+    {
+        FILE *file;
+        file = fopen( TRACK_BUNDLE_FILE_MATRW ,"w");
+        int currPoint,currImage;
+        for( currPoint = 0; currPoint < numPoints; currPoint++ )
+        {
+            fprintf(file,"\nPoint=%d\n",currPoint);
+            int currRow;
+            for( currRow = 0; currRow < 4; currRow++  )
+            {
+                for( currImage = 0; currImage< numImages; currImage++ )
+                {
+                    int i;
+                    for( i = 0; i < 12; i++ )
+                    {
+                        double val = cvmGet(matrW, currImage * 12 + i, currPoint * 4 + currRow);
+                        fprintf(file,"%lf ",val);
+                    }
+                }
+                fprintf(file,"\n");
+            }
+        }
+        fclose(file);
+    }
+#endif
+
+    __END__;
+    return;
+}
+/*======================================================================================*/
+/* Compute jacobian mult projection matrices error */
+void icvComputeJacErrorProj(int numImages,CvMat **projDeriv,CvMat **projErrors,CvMat *jacProjErr )
+{
+    CV_FUNCNAME( "icvComputeJacErrorProj" );
+    __BEGIN__;
+
+    /* ----- Test input params for errors ----- */
+    if( numImages < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of images must more than zero" );
+    }
+    if( projDeriv == 0 || projErrors == 0 || jacProjErr == 0 )
+    {
+        CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
+    }
+    if( !CV_IS_MAT(jacProjErr) )
+    {
+        CV_ERROR( CV_StsUnsupportedFormat, "jacProjErr must be a matrix 12NumIm x 1" );
+    }
+    if( jacProjErr->rows != numImages*12 || jacProjErr->cols != 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "jacProjErr must be a matrix 12NumIm x 1" );
+    }
+    /* !!! Not tested all input parameters */
+    /* ----- End test ----- */
+
+    int currImage;
+    for( currImage = 0; currImage < numImages; currImage++ )
+    {
+        for( int currCol = 0; currCol < 12; currCol++ )
+        {
+            int num = projDeriv[currImage]->rows;
+            double sum = 0;
+            for( int i = 0; i < num; i++ )
+            {
+                sum += cvmGet(projDeriv[currImage],i,currCol) * 
+                       cvmGet(projErrors[currImage],i%2,i/2);
+            }
+            cvmSet(jacProjErr,currImage*12+currCol,0,sum);
+        }
+    }
+
+#ifdef TRACK_BUNDLE
+    {
+        FILE *file;
+        file = fopen( TRACK_BUNDLE_FILE_JACERRPROJ ,"w");
+        int currImage;
+        for( currImage = 0; currImage < numImages; currImage++ )
+        {
+            fprintf(file,"\nImage=%d\n",currImage);
+            int currRow;
+            for( currRow = 0; currRow < 12; currRow++  )
+            {
+                double val = cvmGet(jacProjErr, currImage * 12 + currRow, 0);
+                fprintf(file,"%lf\n",val);
+            }
+            fprintf(file,"\n");
+        }
+        fclose(file);
+    }
+#endif
+
+
+    __END__;
+    return;
+}
+/*======================================================================================*/
+/* Compute jacobian mult points error */
+void icvComputeJacErrorPoint(int numImages,CvMat **pointDeriv,CvMat **projErrors, CvMat **presPoints,CvMat *jacPointErr )
+{
+    int *shifts = 0;
+
+    CV_FUNCNAME( "icvComputeJacErrorPoint" );
+    __BEGIN__;
+
+    /* ----- Test input params for errors ----- */
+    if( numImages < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of images must more than zero" );
+    }
+
+    if( pointDeriv == 0 || projErrors == 0 || presPoints == 0 || jacPointErr == 0 )
+    {
+        CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
+    }
+
+    int numPoints;
+    numPoints = presPoints[0]->cols;
+    if( numPoints < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of points must more than zero" );
+    }
+
+    if( !CV_IS_MAT(jacPointErr) )
+    {
+        CV_ERROR( CV_StsUnsupportedFormat, "jacPointErr must be a matrix 4NumPnt x 1" );
+    }
+
+    if( jacPointErr->rows != numPoints*4 || jacPointErr->cols != 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "jacPointErr must be a matrix 4NumPnt x 1" );
+    }
+    /* !!! Not tested all input parameters */
+    /* ----- End test ----- */
+
+    int currImage;
+    int currPoint;
+    CV_CALL(shifts = (int*)cvAlloc(sizeof(int)*numImages));
+    memset(shifts,0,sizeof(int)*numImages);
+    for( currPoint = 0; currPoint < numPoints; currPoint++ )
+    {
+        for( int currCoord = 0; currCoord < 4; currCoord++ )
+        {
+            double sum = 0;
+            {
+                int currVis = 0;
+                for( currImage = 0; currImage < numImages; currImage++ )
+                {
+                    if( cvmGet(presPoints[currImage],0,currPoint) > 0 )
+                    {
+                        sum += cvmGet(pointDeriv[currImage],0,shifts[currImage]*4+currCoord) *
+                               cvmGet(projErrors[currImage],0,shifts[currImage]);//currVis);
+
+                        sum += cvmGet(pointDeriv[currImage],1,shifts[currImage]*4+currCoord) *
+                               cvmGet(projErrors[currImage],1,shifts[currImage]);//currVis);
+
+                        currVis++;
+                    }
+                }
+            }
+
+            cvmSet(jacPointErr,currPoint*4+currCoord,0,sum);
+        }
+
+        /* Increase shifts */
+        for( currImage = 0; currImage < numImages; currImage++ )
+        {
+            if( cvmGet(presPoints[currImage],0,currPoint) > 0 )
+            {
+                shifts[currImage]++;
+            }
+        }
+    }
+
+
+#ifdef TRACK_BUNDLE
+    {
+        FILE *file;
+        file = fopen(TRACK_BUNDLE_FILE_JACERRPNT,"w");
+        int currPoint;
+        for( currPoint = 0; currPoint < numPoints; currPoint++ )
+        {
+            fprintf(file,"\nPoint=%d\n",currPoint);
+            int currRow;
+            for( currRow = 0; currRow < 4; currRow++  )
+            {
+                double val = cvmGet(jacPointErr, currPoint * 4 + currRow, 0);
+                fprintf(file,"%lf\n",val);
+            }
+            fprintf(file,"\n");
+        }
+        fclose(file);
+    }
+#endif
+
+
+
+    __END__;
+    cvFree( &shifts);
+
+}
+/*======================================================================================*/
+
+/* Reconstruct 4D points using status */
+void icvReconstructPoints4DStatus(CvMat** projPoints, CvMat **projMatrs, CvMat** presPoints,
+                                  CvMat *points4D,int numImages,CvMat **projError)
+{
+
+    double* matrA_dat = 0;
+    double* matrW_dat = 0;
+
+    CV_FUNCNAME( "icvReconstructPoints4DStatus" );
+    __BEGIN__;
+
+    /* ----- Test input params for errors ----- */
+    if( numImages < 2 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of images must be more than one" );
+    }
+
+    if( projPoints == 0 || projMatrs == 0 || presPoints == 0 || points4D == 0 )
+    {
+        CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
+    }
+
+    int numPoints;
+    numPoints = points4D->cols;
+    if( numPoints < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of points4D must be more than zero" );
+    }
+
+    if( points4D->rows != 4 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Points must have 4 cordinates" );
+    }
+
+    /* !!! Not tested all input parameters */
+    /* ----- End test ----- */
+
+    int currImage;
+    int currPoint;
+
+    /* Allocate maximum data */
+
+
+    CvMat matrV;
+    double matrV_dat[4*4];
+    matrV = cvMat(4,4,CV_64F,matrV_dat);
+
+    CV_CALL(matrA_dat = (double*)cvAlloc(3*numImages * 4 * sizeof(double)));
+    CV_CALL(matrW_dat = (double*)cvAlloc(3*numImages * 4 * sizeof(double)));
+
+    /* reconstruct each point */
+    for( currPoint = 0; currPoint < numPoints; currPoint++ )
+    {
+        /* Reconstruct current point */
+        /* Define number of visible projections */
+        int numVisProj = 0;
+        for( currImage = 0; currImage < numImages; currImage++ )
+        {
+            if( cvmGet(presPoints[currImage],0,currPoint) > 0 )
+            {
+                numVisProj++;
+            }
+        }
+        
+        if( numVisProj < 2 )
+        {
+            /* This point can't be reconstructed */
+            continue;
+        }
+
+        /* Allocate memory and create matrices */
+        CvMat matrA;
+        matrA = cvMat(3*numVisProj,4,CV_64F,matrA_dat);
+
+        CvMat matrW;
+        matrW = cvMat(3*numVisProj,4,CV_64F,matrW_dat);
+
+        int currVisProj = 0;
+        for( currImage = 0; currImage < numImages; currImage++ )/* For each view */
+        {
+            if( cvmGet(presPoints[currImage],0,currPoint) > 0 )
+            {
+                double x,y;
+                x = cvmGet(projPoints[currImage],0,currPoint);
+                y = cvmGet(projPoints[currImage],1,currPoint);
+                for( int k = 0; k < 4; k++ )
+                {
+                    matrA_dat[currVisProj*12   + k] = 
+                           x * cvmGet(projMatrs[currImage],2,k) -     cvmGet(projMatrs[currImage],0,k);
+
+                    matrA_dat[currVisProj*12+4 + k] =
+                           y * cvmGet(projMatrs[currImage],2,k) -     cvmGet(projMatrs[currImage],1,k);
+
+                    matrA_dat[currVisProj*12+8 + k] =
+                           x * cvmGet(projMatrs[currImage],1,k) - y * cvmGet(projMatrs[currImage],0,k);
+                }
+                currVisProj++;
+            }
+        }
+
+        /* Solve system for current point */
+        {
+            cvSVD(&matrA,&matrW,0,&matrV,CV_SVD_V_T);
+
+            /* Copy computed point */
+            cvmSet(points4D,0,currPoint,cvmGet(&matrV,3,0));//X
+            cvmSet(points4D,1,currPoint,cvmGet(&matrV,3,1));//Y
+            cvmSet(points4D,2,currPoint,cvmGet(&matrV,3,2));//Z
+            cvmSet(points4D,3,currPoint,cvmGet(&matrV,3,3));//W
+        }
+
+    }
+
+    {/* Compute projection error */
+        for( currImage = 0; currImage < numImages; currImage++ )
+        {
+            CvMat point4D;
+            CvMat point3D;
+            double point3D_dat[3];
+            point3D = cvMat(3,1,CV_64F,point3D_dat);
+            
+            int currPoint;
+            int numVis = 0;
+            double totalError = 0;
+            for( currPoint = 0; currPoint < numPoints; currPoint++ )
+            {
+                if( cvmGet(presPoints[currImage],0,currPoint) > 0)
+                {
+                    double  dx,dy;
+                    cvGetCol(points4D,&point4D,currPoint);
+                    cvmMul(projMatrs[currImage],&point4D,&point3D);
+                    double w = point3D_dat[2];
+                    double x = point3D_dat[0] / w;
+                    double y = point3D_dat[1] / w;
+
+                    dx = cvmGet(projPoints[currImage],0,currPoint) - x;
+                    dy = cvmGet(projPoints[currImage],1,currPoint) - y;
+                    if( projError )
+                    {
+                        cvmSet(projError[currImage],0,currPoint,dx);
+                        cvmSet(projError[currImage],1,currPoint,dy);
+                    }
+                    totalError += sqrt(dx*dx+dy*dy);
+                    numVis++;
+                }
+            }
+
+            //double meanError = totalError / (double)numVis;
+
+        }
+
+    }
+
+    __END__;
+
+    cvFree( &matrA_dat);
+    cvFree( &matrW_dat);
+
+    return;
+}
+
+/*======================================================================================*/
+
+void icvProjPointsStatusFunc( int numImages, CvMat *points4D, CvMat **projMatrs, CvMat **pointsPres, CvMat **projPoints)
+{
+    CV_FUNCNAME( "icvProjPointsStatusFunc" );
+    __BEGIN__;
+
+    /* ----- Test input params for errors ----- */
+    if( numImages < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of images must be more than zero" );
+    }
+
+    if( points4D == 0 || projMatrs == 0 || pointsPres == 0 || projPoints == 0 )
+    {
+        CV_ERROR( CV_StsNullPtr, "Some of parameters is a NULL pointer" );
+    }
+
+    int numPoints;
+    numPoints = points4D->cols;
+    if( numPoints < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of points4D must be more than zero" );
+    }
+
+    if( points4D->rows != 4 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Points must have 4 cordinates" );
+    }
+
+    /* !!! Not tested all input parameters */
+    /* ----- End test ----- */
+
+    CvMat point4D;
+    CvMat point3D;
+    double point4D_dat[4];
+    double point3D_dat[3];
+    point4D = cvMat(4,1,CV_64F,point4D_dat);
+    point3D = cvMat(3,1,CV_64F,point3D_dat);
+
+#ifdef TRACK_BUNDLE
+        {
+            FILE *file;
+            file = fopen( TRACK_BUNDLE_FILE ,"a");
+            fprintf(file,"\n----- test 14.01 icvProjPointsStatusFunc -----\n");
+            fclose(file);
+        }
+#endif
+    
+    int currImage;
+    for( currImage = 0; currImage < numImages; currImage++ )
+    {
+        /* Get project matrix */
+        /* project visible points using current projection matrix */
+        int currVisPoint = 0;
+        for( int currPoint = 0; currPoint < numPoints; currPoint++ )
+        {
+            if( cvmGet(pointsPres[currImage],0,currPoint) > 0 )
+            {
+                /* project current point */
+                cvGetSubRect(points4D,&point4D,cvRect(currPoint,0,1,4));
+
+#ifdef TRACK_BUNDLE
+                {
+                    FILE *file;
+                    file = fopen( TRACK_BUNDLE_FILE ,"a");
+                    fprintf(file,"\n----- test 14.02 point4D (%lf, %lf, %lf, %lf) -----\n",
+                                 cvmGet(&point4D,0,0),
+                                 cvmGet(&point4D,1,0),
+                                 cvmGet(&point4D,2,0),
+                                 cvmGet(&point4D,3,0));
+                    fclose(file);
+                }
+#endif
+                
+                cvmMul(projMatrs[currImage],&point4D,&point3D);
+                double w = point3D_dat[2];
+                cvmSet(projPoints[currImage],0,currVisPoint,point3D_dat[0]/w);
+                cvmSet(projPoints[currImage],1,currVisPoint,point3D_dat[1]/w);
+
+#ifdef TRACK_BUNDLE
+                {
+                    FILE *file;
+                    file = fopen( TRACK_BUNDLE_FILE ,"a");
+                    fprintf(file,"\n----- test 14.03 (%lf, %lf, %lf) -> (%lf, %lf)-----\n",
+                                 point3D_dat[0],
+                                 point3D_dat[1],
+                                 point3D_dat[2],
+                                 point3D_dat[0]/w,
+                                 point3D_dat[1]/w
+                                 );
+                    fclose(file);
+                }
+#endif
+                currVisPoint++;
+            }
+        }
+    }
+
+    __END__;
+}
+
+/*======================================================================================*/
+void icvFreeMatrixArray(CvMat ***matrArray,int numMatr)
+{
+    /* Free each matrix */
+    int currMatr;
+    
+    if( *matrArray != 0 )
+    {/* Need delete */
+        for( currMatr = 0; currMatr < numMatr; currMatr++ )
+        {
+            cvReleaseMat((*matrArray)+currMatr);
+        }
+        cvFree( matrArray);
+    }
+    return;
+}
+
+/*======================================================================================*/
+void *icvClearAlloc(int size)
+{
+    void *ptr = 0;
+
+    CV_FUNCNAME( "icvClearAlloc" );
+    __BEGIN__;
+
+    if( size > 0 )
+    {
+        CV_CALL(ptr = cvAlloc(size));
+        memset(ptr,0,size);
+    }
+
+    __END__;
+    return ptr;
+}
+
+/*======================================================================================*/
+#if 0
+void cvOptimizeLevenbergMarquardtBundleWraper( CvMat** projMatrs, CvMat** observProjPoints,
+                                       CvMat** pointsPres, int numImages,
+                                       CvMat** resultProjMatrs, CvMat* resultPoints4D,int maxIter,double epsilon )
+{
+    /* Delete al sparse points */
+
+int icvDeleteSparsInPoints(  int numImages,
+                             CvMat **points,
+                             CvMat **status,
+                             CvMat *wasStatus)/* status of previous configuration */
+
+}
+#endif
+/*======================================================================================*/
+/* !!! may be useful to return norm of error */
+/* !!! may be does not work correct with not all visible 4D points */
+void cvOptimizeLevenbergMarquardtBundle( CvMat** projMatrs, CvMat** observProjPoints,
+                                       CvMat** pointsPres, int numImages,
+                                       CvMat** resultProjMatrs, CvMat* resultPoints4D,int maxIter,double epsilon )
+{
+    
+    CvMat  *vectorX_points4D = 0;
+    CvMat **vectorX_projMatrs = 0;    
+
+    CvMat  *newVectorX_points4D = 0;
+    CvMat **newVectorX_projMatrs = 0;
+
+    CvMat  *changeVectorX_points4D = 0;
+    CvMat  *changeVectorX_projMatrs = 0;  
+
+    CvMat **observVisPoints = 0;
+    CvMat **projVisPoints = 0;
+    CvMat **errorProjPoints = 0;
+    CvMat **DerivProj = 0;
+    CvMat **DerivPoint = 0;
+    CvMat *matrW = 0;
+    CvMat **matrsUk = 0;
+    CvMat **workMatrsUk = 0;
+    CvMat **matrsVi = 0;
+    CvMat *workMatrVi = 0;
+    CvMat **workMatrsInvVi = 0;
+    CvMat *jacProjErr = 0;
+    CvMat *jacPointErr = 0;
+
+    CvMat *matrTmpSys1 = 0;
+    CvMat *matrSysDeltaP = 0;
+    CvMat *vectTmpSys3 = 0;
+    CvMat *vectSysDeltaP = 0;
+    CvMat *deltaP = 0;
+    CvMat *deltaM = 0;
+    CvMat *vectTmpSysM = 0;
+
+    int numPoints = 0;
+
+
+    CV_FUNCNAME( "cvOptimizeLevenbergMarquardtBundle" );
+    __BEGIN__;
+
+    /* ----- Test input params for errors ----- */
+    if( numImages < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of images must be more than zero" );
+    }
+    
+    if( maxIter < 1 || maxIter > 2000 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Maximum number of iteration must be in [1..1000]" );
+    }
+    
+    if( epsilon < 0  )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Epsilon parameter must be >= 0" );
+    }
+    
+    if( !CV_IS_MAT(resultPoints4D) )
+    {
+        CV_ERROR( CV_StsUnsupportedFormat, "resultPoints4D must be a matrix 4 x NumPnt" );
+    }
+
+    numPoints = resultPoints4D->cols;
+    if( numPoints < 1 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "Number of points must be more than zero" );//!!!
+    }
+
+    if( resultPoints4D->rows != 4 )
+    {
+        CV_ERROR( CV_StsOutOfRange, "resultPoints4D must have 4 cordinates" );
+    }
+
+    /* ----- End test ----- */
+
+    /* Optimization using bundle adjustment */
+    /* work with non visible points */
+
+    CV_CALL( vectorX_points4D  = cvCreateMat(4,numPoints,CV_64F));
+    CV_CALL( vectorX_projMatrs = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages));
+
+    CV_CALL( newVectorX_points4D  = cvCreateMat(4,numPoints,CV_64F));
+    CV_CALL( newVectorX_projMatrs = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages));
+
+    CV_CALL( changeVectorX_points4D  = cvCreateMat(4,numPoints,CV_64F));
+    CV_CALL( changeVectorX_projMatrs = cvCreateMat(3,4,CV_64F));
+
+    int currImage;
+    
+    /* ----- Test input params ----- */
+    for( currImage = 0; currImage < numImages; currImage++ )
+    {
+        /* Test size of input initial and result projection matrices */
+        if( !CV_IS_MAT(projMatrs[currImage]) )
+        {
+            CV_ERROR( CV_StsUnsupportedFormat, "each of initial projMatrs must be a matrix 3 x 4" );
+        }
+        if( projMatrs[currImage]->rows != 3 || projMatrs[currImage]->cols != 4 )
+        {
+            CV_ERROR( CV_StsOutOfRange, "each of initial projMatrs must be a matrix 3 x 4" );
+        }
+
+
+        if( !CV_IS_MAT(observProjPoints[currImage]) )
+        {
+            CV_ERROR( CV_StsUnsupportedFormat, "each of observProjPoints must be a matrix 2 x NumPnts" );
+        }
+        if( observProjPoints[currImage]->rows != 2 || observProjPoints[currImage]->cols != numPoints )
+        {
+            CV_ERROR( CV_StsOutOfRange, "each of observProjPoints must be a matrix 2 x NumPnts" );
+        }
+
+        if( !CV_IS_MAT(pointsPres[currImage]) )
+        {
+            CV_ERROR( CV_StsUnsupportedFormat, "each of pointsPres must be a matrix 1 x NumPnt" );
+        }
+        if( pointsPres[currImage]->rows != 1 || pointsPres[currImage]->cols != numPoints )
+        {
+            CV_ERROR( CV_StsOutOfRange, "each of pointsPres must be a matrix 1 x NumPnt" );
+        }
+
+        if( !CV_IS_MAT(resultProjMatrs[currImage]) )
+        {
+            CV_ERROR( CV_StsUnsupportedFormat, "each of resultProjMatrs must be a matrix 3 x 4" );
+        }
+        if( resultProjMatrs[currImage]->rows != 3 || resultProjMatrs[currImage]->cols != 4 )
+        {
+            CV_ERROR( CV_StsOutOfRange, "each of resultProjMatrs must be a matrix 3 x 4" );
+        }
+
+    }
+    /* ----- End test ----- */
+
+    /* Copy projection matrices to vectorX0 */
+    for( currImage = 0; currImage < numImages; currImage++ )
+    {
+        CV_CALL( vectorX_projMatrs[currImage] = cvCreateMat(3,4,CV_64F));
+        CV_CALL( newVectorX_projMatrs[currImage] = cvCreateMat(3,4,CV_64F));
+        cvCopy(projMatrs[currImage],vectorX_projMatrs[currImage]);
+    }
+
+    /* Reconstruct points4D using projection matrices and status information */
+    icvReconstructPoints4DStatus(observProjPoints, projMatrs, pointsPres, vectorX_points4D, numImages);
+
+    /* ----- Allocate memory for work matrices ----- */
+    /* Compute number of good points on each images */
+
+    CV_CALL( observVisPoints = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages) );
+    CV_CALL( projVisPoints   = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages) );
+    CV_CALL( errorProjPoints = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages) );
+    CV_CALL( DerivProj       = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages) );
+    CV_CALL( DerivPoint      = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages) );
+    CV_CALL( matrW           = cvCreateMat(12*numImages,4*numPoints,CV_64F) );
+    CV_CALL( matrsUk         = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages) );
+    CV_CALL( workMatrsUk     = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numImages) );
+    CV_CALL( matrsVi         = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numPoints) );
+    CV_CALL( workMatrVi      = cvCreateMat(4,4,CV_64F) );
+    CV_CALL( workMatrsInvVi  = (CvMat**)icvClearAlloc(sizeof(CvMat*)*numPoints) );
+
+    CV_CALL( jacProjErr      = cvCreateMat(12*numImages,1,CV_64F) );
+    CV_CALL( jacPointErr     = cvCreateMat(4*numPoints,1,CV_64F) );
+
+
+    int i;
+    for( i = 0; i < numPoints; i++ )
+    {
+        CV_CALL( matrsVi[i]        = cvCreateMat(4,4,CV_64F) );
+        CV_CALL( workMatrsInvVi[i] = cvCreateMat(4,4,CV_64F) );
+    }
+
+    for( currImage = 0; currImage < numImages; currImage++ )
+    {
+        CV_CALL( matrsUk[currImage]     = cvCreateMat(12,12,CV_64F) );
+        CV_CALL( workMatrsUk[currImage] = cvCreateMat(12,12,CV_64F) );
+
+        int currVisPoint = 0, currPoint, numVisPoint;
+        for( currPoint = 0; currPoint < numPoints; currPoint++ )
+        {
+            if( cvmGet(pointsPres[currImage],0,currPoint) > 0 )
+            {
+                currVisPoint++;
+            }
+        }
+
+        numVisPoint = currVisPoint;
+
+        /* Allocate memory for current image data */
+        CV_CALL( observVisPoints[currImage]  = cvCreateMat(2,numVisPoint,CV_64F) );
+        CV_CALL( projVisPoints[currImage]    = cvCreateMat(2,numVisPoint,CV_64F) );
+
+        /* create error matrix */
+        CV_CALL( errorProjPoints[currImage] = cvCreateMat(2,numVisPoint,CV_64F) );
+
+        /* Create derivate matrices */
+        CV_CALL( DerivProj[currImage]  = cvCreateMat(2*numVisPoint,12,CV_64F) );
+        CV_CALL( DerivPoint[currImage] = cvCreateMat(2,numVisPoint*4,CV_64F) );
+
+        /* Copy observed projected visible points */
+        currVisPoint = 0;
+        for( currPoint = 0; currPoint < numPoints; currPoint++ )
+        {
+            if( cvmGet(pointsPres[currImage],0,currPoint) > 0 )
+            {
+                cvmSet(observVisPoints[currImage],0,currVisPoint,cvmGet(observProjPoints[currImage],0,currPoint));
+                cvmSet(observVisPoints[currImage],1,currVisPoint,cvmGet(observProjPoints[currImage],1,currPoint));
+                currVisPoint++;
+            }
+        }
+    }
+    /*---------------------------------------------------*/
+
+    CV_CALL( matrTmpSys1   = cvCreateMat(numPoints*4, numImages*12, CV_64F) );
+    CV_CALL( matrSysDeltaP = cvCreateMat(numImages*12, numImages*12, CV_64F) );
+    CV_CALL( vectTmpSys3   = cvCreateMat(numPoints*4,1,CV_64F) );
+    CV_CALL( vectSysDeltaP = cvCreateMat(numImages*12,1,CV_64F) );
+    CV_CALL( deltaP        = cvCreateMat(numImages*12,1,CV_64F) );
+    CV_CALL( deltaM        = cvCreateMat(numPoints*4,1,CV_64F) );
+    CV_CALL( vectTmpSysM   = cvCreateMat(numPoints*4,1,CV_64F) );
+
+
+//#ifdef TRACK_BUNDLE
+#if 1
+    {
+        /* Create file to track */
+        FILE* file;
+        file = fopen( TRACK_BUNDLE_FILE ,"w");
+        fprintf(file,"begin\n");
+        fclose(file);
+    }
+#endif
+
+    /* ============= main optimization loop ============== */
+
+    /* project all points using current vector X */
+    icvProjPointsStatusFunc(numImages, vectorX_points4D, vectorX_projMatrs, pointsPres, projVisPoints);
+
+    /* Compute error with observed value and computed projection */
+    double prevError;
+    prevError = 0;
+    for( currImage = 0; currImage < numImages; currImage++ )
+    {
+        cvSub(observVisPoints[currImage],projVisPoints[currImage],errorProjPoints[currImage]);
+        double currNorm = cvNorm(errorProjPoints[currImage]);
+        prevError += currNorm * currNorm;
+    }
+    prevError = sqrt(prevError);
+
+    int currIter;
+    double change;
+    double alpha;
+
+//#ifdef TRACK_BUNDLE
+#if 1
+    {
+        /* Create file to track */
+        FILE* file;
+        file = fopen( TRACK_BUNDLE_FILE ,"a");
+        fprintf(file,"\n========================================\n");;
+        fprintf(file,"Iter=0\n");
+        fprintf(file,"Error = %20.15lf\n",prevError);
+        fprintf(file,"Change = %20.15lf\n",1.0);
+
+        fprintf(file,"projection errors\n");
+
+        /* Print all proejction errors */
+        int currImage;
+        for( currImage = 0; currImage < numImages; currImage++)
+        {
+            fprintf(file,"\nImage=%d\n",currImage);
+            int numPn = errorProjPoints[currImage]->cols;
+            for( int currPoint = 0; currPoint < numPn; currPoint++ )
+            {
+                double ex,ey;
+                ex = cvmGet(errorProjPoints[currImage],0,currPoint);
+                ey = cvmGet(errorProjPoints[currImage],1,currPoint);
+                fprintf(file,"%40.35lf, %40.35lf\n",ex,ey);
+            }
+        }
+        fclose(file);
+    }
+#endif
+
+    currIter = 0;
+    change = 1;
+    alpha = 0.001;
+
+
+    do
+    {
+
+#ifdef TRACK_BUNDLE
+        {
+            FILE *file;
+            file = fopen( TRACK_BUNDLE_FILE ,"a");
+            fprintf(file,"\n----- test 6 do main -----\n");
+
+            double norm = cvNorm(vectorX_points4D);
+            fprintf(file,"        test 6.01 prev normPnts=%lf\n",norm);
+
+            for( int i=0;i<numImages;i++ )
+            {
+                double norm = cvNorm(vectorX_projMatrs[i]);
+                fprintf(file,"        test 6.01 prev normProj=%lf\n",norm);
+            }
+            
+            fclose(file);
+        }
+#endif
+
+        /* Compute derivates by projectinon matrices */
+        icvComputeDerivateProjAll(vectorX_points4D,vectorX_projMatrs,pointsPres,numImages,DerivProj);
+
+        /* Compute derivates by 4D points */
+        icvComputeDerivatePointsAll(vectorX_points4D,vectorX_projMatrs,pointsPres,numImages,DerivPoint);
+
+        /* Compute matrces Uk */
+        icvComputeMatrixUAll(numImages,DerivProj,matrsUk);
+        icvComputeMatrixVAll(numImages,DerivPoint,pointsPres,matrsVi);
+        icvComputeMatrixW(numImages,DerivProj,DerivPoint,pointsPres,matrW);
+
+
+#ifdef TRACK_BUNDLE
+        {
+            FILE *file;
+            file = fopen( TRACK_BUNDLE_FILE ,"a");
+            fprintf(file,"\n----- test 6.03 do matrs U V -----\n");
+
+            int i;
+            for( i = 0; i < numImages; i++ )
+            {
+                double norm = cvNorm(matrsUk[i]);
+                fprintf(file,"        test 6.01 prev matrsUk=%lf\n",norm);
+            }
+            
+            for( i = 0; i < numPoints; i++ )
+            {
+                double norm = cvNorm(matrsVi[i]);
+                fprintf(file,"        test 6.01 prev matrsVi=%lf\n",norm);
+            }
+
+            fclose(file);
+        }
+#endif
+
+        /* Compute jac errors */
+        icvComputeJacErrorProj(numImages, DerivProj, errorProjPoints, jacProjErr);
+        icvComputeJacErrorPoint(numImages, DerivPoint, errorProjPoints, pointsPres, jacPointErr);
+
+#ifdef TRACK_BUNDLE
+        {
+            FILE *file;
+            file = fopen( TRACK_BUNDLE_FILE ,"a");
+            fprintf(file,"\n----- test 6 do main -----\n");
+            double norm1 = cvNorm(vectorX_points4D);
+            fprintf(file,"        test 6.02 post normPnts=%lf\n",norm1);
+            fclose(file);
+        }
+#endif
+        /* Copy matrices Uk to work matrices Uk */
+        for( currImage = 0; currImage < numImages; currImage++ )
+        {
+            cvCopy(matrsUk[currImage],workMatrsUk[currImage]);
+        }
+
+#ifdef TRACK_BUNDLE
+        {
+            FILE *file;
+            file = fopen( TRACK_BUNDLE_FILE ,"a");
+            fprintf(file,"\n----- test 60.3 do matrs U V -----\n");
+
+            int i;
+            for( i = 0; i < numImages; i++ )
+            {
+                double norm = cvNorm(matrsUk[i]);
+                fprintf(file,"        test 6.01 post1 matrsUk=%lf\n",norm);
+            }
+            
+            for( i = 0; i < numPoints; i++ )
+            {
+                double norm = cvNorm(matrsVi[i]);
+                fprintf(file,"        test 6.01 post1 matrsVi=%lf\n",norm);
+            }
+
+            fclose(file);
+        }
+#endif
+
+        /* ========== Solve normal equation for given alpha and Jacobian ============ */
+
+        do
+        {
+            /* ---- Add alpha to matrices --- */
+            /* Add alpha to matrInvVi and make workMatrsInvVi */
+
+            int currV;
+            for( currV = 0; currV < numPoints; currV++ )
+            {
+                cvCopy(matrsVi[currV],workMatrVi);
+
+                for( int i = 0; i < 4; i++ )
+                {
+                    cvmSet(workMatrVi,i,i,cvmGet(matrsVi[currV],i,i)*(1+alpha) );
+                }
+
+                cvInvert(workMatrVi,workMatrsInvVi[currV],CV_LU/*,&currV*/);
+            }
+
+            /* Add alpha to matrUk and make matrix workMatrsUk */
+            for( currImage = 0; currImage< numImages; currImage++ )
+            {
+
+                for( i = 0; i < 12; i++ )
+                {
+                    cvmSet(workMatrsUk[currImage],i,i,cvmGet(matrsUk[currImage],i,i)*(1+alpha));
+                }
+
+
+            }
+
+            /* Fill matrix to make system for computing delta P (matrTmpSys1 = inv(V)*tr(W) )*/
+            for( currV = 0; currV < numPoints; currV++ )
+            {
+                int currRowV;
+                for( currRowV = 0; currRowV < 4; currRowV++ )
+                {
+                    for( currImage = 0; currImage < numImages; currImage++ )
+                    {
+                        for( int currCol = 0; currCol < 12; currCol++ )/* For each column of transposed matrix W */
+                        {
+                            double sum = 0;
+                            for( i = 0; i < 4; i++ )
+                            {
+                                sum += cvmGet(workMatrsInvVi[currV],currRowV,i) *
+                                       cvmGet(matrW,currImage*12+currCol,currV*4+i);
+                            }
+                            cvmSet(matrTmpSys1,currV*4+currRowV,currImage*12+currCol,sum);
+                        }
+                    }
+                }
+            }
+
+
+            /* Fill matrix to make system for computing delta P (matrTmpSys2 = W * matrTmpSys ) */
+            cvmMul(matrW,matrTmpSys1,matrSysDeltaP);
+
+            /* need to compute U-matrTmpSys2. But we compute matTmpSys2-U */
+            for( currImage = 0; currImage < numImages; currImage++ )
+            {
+                CvMat subMatr;
+                cvGetSubRect(matrSysDeltaP,&subMatr,cvRect(currImage*12,currImage*12,12,12));
+                cvSub(&subMatr,workMatrsUk[currImage],&subMatr);
+            }
+
+            /* Compute right side of normal equation  */
+            for( currV = 0; currV < numPoints; currV++ )
+            {
+                CvMat subMatrErPnts;
+                CvMat subMatr;
+                cvGetSubRect(jacPointErr,&subMatrErPnts,cvRect(0,currV*4,1,4));
+                cvGetSubRect(vectTmpSys3,&subMatr,cvRect(0,currV*4,1,4));
+                cvmMul(workMatrsInvVi[currV],&subMatrErPnts,&subMatr);
+            }
+
+            cvmMul(matrW,vectTmpSys3,vectSysDeltaP);
+            cvSub(vectSysDeltaP,jacProjErr,vectSysDeltaP);
+
+            /* Now we can compute part of normal system - deltaP */
+            cvSolve(matrSysDeltaP ,vectSysDeltaP, deltaP, CV_SVD);
+
+            /* Print deltaP to file */
+
+#ifdef TRACK_BUNDLE
+            {
+                FILE* file;
+                file = fopen( TRACK_BUNDLE_FILE_DELTAP ,"w");
+
+                int currImage;
+                for( currImage = 0; currImage < numImages; currImage++ )
+                {
+                    fprintf(file,"\nImage=%d\n",currImage);
+                    int i;
+                    for( i = 0; i < 12; i++ )
+                    {
+                        double val;
+                        val = cvmGet(deltaP,currImage*12+i,0);
+                        fprintf(file,"%lf\n",val);
+                    }
+                    fprintf(file,"\n");
+                }
+                fclose(file);
+            }
+#endif
+            /* We know deltaP and now we can compute system for deltaM */
+            for( i = 0; i < numPoints * 4; i++ )
+            {
+                double sum = 0;
+                for( int j = 0; j < numImages * 12; j++ )
+                {
+                    sum += cvmGet(matrW,j,i) * cvmGet(deltaP,j,0);
+                }
+                cvmSet(vectTmpSysM,i,0,cvmGet(jacPointErr,i,0)-sum);
+            }
+
+            /* Compute deltaM */
+            for( currV = 0; currV < numPoints; currV++ )
+            {
+                CvMat subMatr;
+                CvMat subMatrM;
+                cvGetSubRect(vectTmpSysM,&subMatr,cvRect(0,currV*4,1,4));
+                cvGetSubRect(deltaM,&subMatrM,cvRect(0,currV*4,1,4));
+                cvmMul(workMatrsInvVi[currV],&subMatr,&subMatrM);
+            }
+
+            /* We know delta and compute new value of vector X: nextVectX = vectX + deltas */
+
+            /* Compute new P */
+            for( currImage = 0; currImage < numImages; currImage++ )
+            {
+                for( i = 0; i < 3; i++ )
+                {
+                    for( int j = 0; j < 4; j++ )
+                    {
+                        cvmSet(newVectorX_projMatrs[currImage],i,j,
+                                cvmGet(vectorX_projMatrs[currImage],i,j) + cvmGet(deltaP,currImage*12+i*4+j,0));
+                    }
+                }
+            }
+
+            /* Compute new M */
+            int currPoint;
+            for( currPoint = 0; currPoint < numPoints; currPoint++ )
+            {
+                for( i = 0; i < 4; i++ )
+                {
+                    cvmSet(newVectorX_points4D,i,currPoint,
+                        cvmGet(vectorX_points4D,i,currPoint) + cvmGet(deltaM,currPoint*4+i,0));
+                }
+            }
+
+            /* ----- Compute errors for new vectorX ----- */
+            /* Project points using new vectorX and status of each point */
+            icvProjPointsStatusFunc(numImages, newVectorX_points4D, newVectorX_projMatrs, pointsPres, projVisPoints);
+            /* Compute error with observed value and computed projection */
+            double newError = 0;
+            for( currImage = 0; currImage < numImages; currImage++ )
+            {
+                cvSub(observVisPoints[currImage],projVisPoints[currImage],errorProjPoints[currImage]);
+                double currNorm = cvNorm(errorProjPoints[currImage]);
+
+//#ifdef TRACK_BUNDLE
+#if 1
+                {
+                    FILE *file;
+                    file = fopen( TRACK_BUNDLE_FILE ,"a");
+                    fprintf(file,"\n----- test 13,01 currImage=%d currNorm=%lf -----\n",currImage,currNorm);
+                    fclose(file);
+                }
+#endif
+                newError += currNorm * currNorm;
+            }
+            newError = sqrt(newError);
+            
+            currIter++;
+
+
+
+
+//#ifdef TRACK_BUNDLE
+#if 1
+            {
+                /* Create file to track */
+                FILE* file;
+                file = fopen( TRACK_BUNDLE_FILE ,"a");
+                fprintf(file,"\n========================================\n");
+                fprintf(file,"numPoints=%d\n",numPoints);
+                fprintf(file,"Iter=%d\n",currIter);
+                fprintf(file,"Error = %20.15lf\n",newError);
+                fprintf(file,"Change = %20.15lf\n",change);
+
+
+                /* Print all projection errors */
+#if 0
+                fprintf(file,"projection errors\n");
+                int currImage;
+                for( currImage = 0; currImage < numImages; currImage++)
+                {
+                    fprintf(file,"\nImage=%d\n",currImage);
+                    int numPn = errorProjPoints[currImage]->cols;
+                    for( int currPoint = 0; currPoint < numPn; currPoint++ )
+                    {
+                        double ex,ey;
+                        ex = cvmGet(errorProjPoints[currImage],0,currPoint);
+                        ey = cvmGet(errorProjPoints[currImage],1,currPoint);
+                        fprintf(file,"%lf,%lf\n",ex,ey);
+                    }
+                }
+                fprintf(file,"\n---- test 0 -----\n");
+#endif
+
+                fclose(file);
+            }
+#endif
+
+
+
+            /* Compare new error and last error */
+            if( newError < prevError )
+            {/* accept new value */
+                prevError = newError;
+                /* Compute relative change of required parameter vectorX. change = norm(curr-prev) / norm(curr) )  */
+                {
+                    double normAll1 = 0;
+                    double normAll2 = 0;
+                    double currNorm1 = 0;
+                    double currNorm2 = 0;
+                    /* compute norm for projection matrices */
+                    for( currImage = 0; currImage < numImages; currImage++ )
+                    {
+                        currNorm1 = cvNorm(newVectorX_projMatrs[currImage],vectorX_projMatrs[currImage]);
+                        currNorm2 = cvNorm(newVectorX_projMatrs[currImage]);
+
+                        normAll1 += currNorm1 * currNorm1;
+                        normAll2 += currNorm2 * currNorm2;
+                    }
+
+                    /* compute norm for points */
+                    currNorm1 = cvNorm(newVectorX_points4D,vectorX_points4D);
+                    currNorm2 = cvNorm(newVectorX_points4D);
+
+                    normAll1 += currNorm1 * currNorm1;
+                    normAll2 += currNorm2 * currNorm2;
+
+                    /* compute change */
+                    change = sqrt(normAll1) / sqrt(normAll2);
+
+
+//#ifdef TRACK_BUNDLE
+#if 1
+                    {
+                        /* Create file to track */
+                        FILE* file;
+                        file = fopen( TRACK_BUNDLE_FILE ,"a");
+                        fprintf(file,"\nChange inside newVal change = %20.15lf\n",change);
+                        fprintf(file,"   normAll1= %20.15lf\n",sqrt(normAll1));
+                        fprintf(file,"   normAll2= %20.15lf\n",sqrt(normAll2));
+
+                        fclose(file);
+                    }
+#endif
+
+                }
+
+                alpha /= 10;
+                for( currImage = 0; currImage < numImages; currImage++ )
+                {
+                    cvCopy(newVectorX_projMatrs[currImage],vectorX_projMatrs[currImage]);
+                }
+                cvCopy(newVectorX_points4D,vectorX_points4D);
+
+                break;
+            }
+            else
+            {
+                alpha *= 10;
+            }
+
+        } while( change > epsilon && currIter < maxIter );/* solve normal equation using current alpha */
+
+//#ifdef TRACK_BUNDLE
+#if 1
+        {
+            FILE* file;
+            file = fopen( TRACK_BUNDLE_FILE ,"a");
+            fprintf(file,"\nBest error = %40.35lf\n",prevError);
+            fclose(file);
+        }
+
+#endif
+
+
+    } while( change > epsilon && currIter < maxIter );
+     
+    /*--------------------------------------------*/
+    /* Optimization complete copy computed params */
+    /* Copy projection matrices */
+    for( currImage = 0; currImage < numImages; currImage++ )
+    {
+        cvCopy(newVectorX_projMatrs[currImage],resultProjMatrs[currImage]);
+    }
+    /* Copy 4D points */
+    cvCopy(newVectorX_points4D,resultPoints4D);
+
+//    free(memory);
+
+    __END__;
+
+    /* Free allocated memory */
+
+    /* Free simple matrices */
+    cvFree(&vectorX_points4D);
+    cvFree(&newVectorX_points4D);
+    cvFree(&changeVectorX_points4D);
+    cvFree(&changeVectorX_projMatrs);
+    cvFree(&matrW);
+    cvFree(&workMatrVi);
+    cvFree(&jacProjErr);
+    cvFree(&jacPointErr);
+    cvFree(&matrTmpSys1);
+    cvFree(&matrSysDeltaP);
+    cvFree(&vectTmpSys3);
+    cvFree(&vectSysDeltaP);
+    cvFree(&deltaP);
+    cvFree(&deltaM);
+    cvFree(&vectTmpSysM);
+
+    /* Free arrays of matrices */
+    icvFreeMatrixArray(&vectorX_projMatrs,numImages);
+    icvFreeMatrixArray(&newVectorX_projMatrs,numImages);
+    icvFreeMatrixArray(&observVisPoints,numImages);
+    icvFreeMatrixArray(&projVisPoints,numImages);
+    icvFreeMatrixArray(&errorProjPoints,numImages);
+    icvFreeMatrixArray(&DerivProj,numImages);
+    icvFreeMatrixArray(&DerivPoint,numImages);
+    icvFreeMatrixArray(&matrsUk,numImages);
+    icvFreeMatrixArray(&workMatrsUk,numImages);
+    icvFreeMatrixArray(&matrsVi,numPoints);
+    icvFreeMatrixArray(&workMatrsInvVi,numPoints);
+
+    return;
+}