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#include "_cv.h"
/****************************************************************************************\
calculate image homography
\****************************************************************************************/
CV_IMPL void
cvCalcImageHomography( float* line, CvPoint3D32f* _center,
float* _intrinsic, float* _homography )
{
CV_FUNCNAME( "cvCalcImageHomography" );
__BEGIN__;
double norm_xy, norm_xz, xy_sina, xy_cosa, xz_sina, xz_cosa, nx1, plane_dist;
float _ry[3], _rz[3], _r_trans[9];
CvMat rx = cvMat( 1, 3, CV_32F, line );
CvMat ry = cvMat( 1, 3, CV_32F, _ry );
CvMat rz = cvMat( 1, 3, CV_32F, _rz );
CvMat r_trans = cvMat( 3, 3, CV_32F, _r_trans );
CvMat center = cvMat( 3, 1, CV_32F, _center );
float _sub[9];
CvMat sub = cvMat( 3, 3, CV_32F, _sub );
float _t_trans[3];
CvMat t_trans = cvMat( 3, 1, CV_32F, _t_trans );
CvMat intrinsic = cvMat( 3, 3, CV_32F, _intrinsic );
CvMat homography = cvMat( 3, 3, CV_32F, _homography );
if( !line || !_center || !_intrinsic || !_homography )
CV_ERROR( CV_StsNullPtr, "" );
norm_xy = cvSqrt( line[0] * line[0] + line[1] * line[1] );
xy_cosa = line[0] / norm_xy;
xy_sina = line[1] / norm_xy;
norm_xz = cvSqrt( line[0] * line[0] + line[2] * line[2] );
xz_cosa = line[0] / norm_xz;
xz_sina = line[2] / norm_xz;
nx1 = -xz_sina;
_rz[0] = (float)(xy_cosa * nx1);
_rz[1] = (float)(xy_sina * nx1);
_rz[2] = (float)xz_cosa;
cvScale( &rz, &rz, 1./cvNorm(&rz,0,CV_L2) );
/* new axe y */
cvCrossProduct( &rz, &rx, &ry );
cvScale( &ry, &ry, 1./cvNorm( &ry, 0, CV_L2 ) );
/* transpone rotation matrix */
memcpy( &_r_trans[0], line, 3*sizeof(float));
memcpy( &_r_trans[3], _ry, 3*sizeof(float));
memcpy( &_r_trans[6], _rz, 3*sizeof(float));
/* calculate center distanse from arm plane */
plane_dist = cvDotProduct( &center, &rz );
/* calculate (I - r_trans)*center */
cvSetIdentity( &sub );
cvSub( &sub, &r_trans, &sub );
cvMatMul( &sub, &center, &t_trans );
cvMatMul( &t_trans, &rz, &sub );
cvScaleAdd( &sub, cvRealScalar(1./plane_dist), &r_trans, &sub ); /* ? */
cvMatMul( &intrinsic, &sub, &r_trans );
cvInvert( &intrinsic, &sub, CV_SVD );
cvMatMul( &r_trans, &sub, &homography );
__END__;
}
/* End of file. */