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41 
42 #include "_cv.h"
43 
44 /****************************************************************************************\
45 
46    calculate image homography
47 
48 \****************************************************************************************/
49 
50 CV_IMPL void
51 cvCalcImageHomography( float* line, CvPoint3D32f* _center,
52                        float* _intrinsic, float* _homography )
53 {
54     CV_FUNCNAME( "cvCalcImageHomography" );
55 
56     __BEGIN__;
57 
58     double norm_xy, norm_xz, xy_sina, xy_cosa, xz_sina, xz_cosa, nx1, plane_dist;
59     float _ry[3], _rz[3], _r_trans[9];
60     CvMat rx = cvMat( 1, 3, CV_32F, line );
61     CvMat ry = cvMat( 1, 3, CV_32F, _ry );
62     CvMat rz = cvMat( 1, 3, CV_32F, _rz );
63     CvMat r_trans = cvMat( 3, 3, CV_32F, _r_trans );
64     CvMat center = cvMat( 3, 1, CV_32F, _center );
65 
66     float _sub[9];
67     CvMat sub = cvMat( 3, 3, CV_32F, _sub );
68     float _t_trans[3];
69     CvMat t_trans = cvMat( 3, 1, CV_32F, _t_trans );
70 
71     CvMat intrinsic = cvMat( 3, 3, CV_32F, _intrinsic );
72     CvMat homography = cvMat( 3, 3, CV_32F, _homography );
73 
74     if( !line || !_center || !_intrinsic || !_homography )
75         CV_ERROR( CV_StsNullPtr, "" );
76 
77     norm_xy = cvSqrt( line[0] * line[0] + line[1] * line[1] );
78     xy_cosa = line[0] / norm_xy;
79     xy_sina = line[1] / norm_xy;
80 
81     norm_xz = cvSqrt( line[0] * line[0] + line[2] * line[2] );
82     xz_cosa = line[0] / norm_xz;
83     xz_sina = line[2] / norm_xz;
84 
85     nx1 = -xz_sina;
86 
87     _rz[0] = (float)(xy_cosa * nx1);
88     _rz[1] = (float)(xy_sina * nx1);
89     _rz[2] = (float)xz_cosa;
90     cvScale( &rz, &rz, 1./cvNorm(&rz,0,CV_L2) );
91 
92     /*  new axe  y  */
93     cvCrossProduct( &rz, &rx, &ry );
94     cvScale( &ry, &ry, 1./cvNorm( &ry, 0, CV_L2 ) );
95 
96     /*  transpone rotation matrix    */
97     memcpy( &_r_trans[0], line, 3*sizeof(float));
98     memcpy( &_r_trans[3], _ry, 3*sizeof(float));
99     memcpy( &_r_trans[6], _rz, 3*sizeof(float));
100 
101     /*  calculate center distanse from arm plane  */
102     plane_dist = cvDotProduct( &center, &rz );
103 
104     /* calculate (I - r_trans)*center */
105     cvSetIdentity( &sub );
106     cvSub( &sub, &r_trans, &sub );
107     cvMatMul( &sub, &center, &t_trans );
108 
109     cvMatMul( &t_trans, &rz, &sub );
110     cvScaleAdd( &sub, cvRealScalar(1./plane_dist), &r_trans, &sub ); /* ? */
111 
112     cvMatMul( &intrinsic, &sub, &r_trans );
113     cvInvert( &intrinsic, &sub, CV_SVD );
114     cvMatMul( &r_trans, &sub, &homography );
115 
116     __END__;
117 }
118 
119 /* End of file. */
120 
121