transformation_estimation_svd_scale.hpp
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#ifndef PCL_REGISTRATION_TRANSFORMATION_ESTIMATION_SVD_SCALE_HPP_
#define PCL_REGISTRATION_TRANSFORMATION_ESTIMATION_SVD_SCALE_HPP_
//////////////////////////////////////////////////////////////////////////////////////////////
template <typename PointSource, typename PointTarget, typename Scalar> void
pcl::registration::TransformationEstimationSVDScale<PointSource, PointTarget, Scalar>::getTransformationFromCorrelation (
const Eigen::Matrix<Scalar, Eigen::Dynamic, Eigen::Dynamic> &cloud_src_demean,
const Eigen::Matrix<Scalar, 4, 1> &centroid_src,
const Eigen::Matrix<Scalar, Eigen::Dynamic, Eigen::Dynamic> &cloud_tgt_demean,
const Eigen::Matrix<Scalar, 4, 1> &centroid_tgt,
Matrix4 &transformation_matrix) const
{
transformation_matrix.setIdentity ();
// Assemble the correlation matrix H = source * target'
Eigen::Matrix<Scalar, 3, 3> H = (cloud_src_demean * cloud_tgt_demean.transpose ()).topLeftCorner (3, 3);
// Compute the Singular Value Decomposition
Eigen::JacobiSVD<Eigen::Matrix<Scalar, 3, 3> > svd (H, Eigen::ComputeFullU | Eigen::ComputeFullV);
Eigen::Matrix<Scalar, 3, 3> u = svd.matrixU ();
Eigen::Matrix<Scalar, 3, 3> v = svd.matrixV ();
// Compute R = V * U'
if (u.determinant () * v.determinant () < 0)
{
for (int x = 0; x < 3; ++x)
v (x, 2) *= -1;
}
Eigen::Matrix<Scalar, 3, 3> R = v * u.transpose ();
// rotated cloud
Eigen::Matrix<Scalar, 4, 4> R4;
R4.block (0, 0, 3, 3) = R;
R4 (0, 3) = 0;
R4 (1, 3) = 0;
R4 (2, 3) = 0;
R4 (3, 3) = 1;
Eigen::Matrix<Scalar, Eigen::Dynamic, Eigen::Dynamic> src_ = R4 * cloud_src_demean;
float scale1, scale2;
double sum_ss = 0.0f, sum_tt = 0.0f, sum_tt_ = 0.0f;
for (unsigned corrIdx = 0; corrIdx < cloud_src_demean.cols (); ++corrIdx)
{
sum_ss += cloud_src_demean (0, corrIdx) * cloud_src_demean (0, corrIdx);
sum_ss += cloud_src_demean (1, corrIdx) * cloud_src_demean (1, corrIdx);
sum_ss += cloud_src_demean (2, corrIdx) * cloud_src_demean (2, corrIdx);
sum_tt += cloud_tgt_demean (0, corrIdx) * cloud_tgt_demean (0, corrIdx);
sum_tt += cloud_tgt_demean (1, corrIdx) * cloud_tgt_demean (1, corrIdx);
sum_tt += cloud_tgt_demean (2, corrIdx) * cloud_tgt_demean (2, corrIdx);
sum_tt_ += cloud_tgt_demean (0, corrIdx) * src_ (0, corrIdx);
sum_tt_ += cloud_tgt_demean (1, corrIdx) * src_ (1, corrIdx);
sum_tt_ += cloud_tgt_demean (2, corrIdx) * src_ (2, corrIdx);
}
scale1 = sqrt (sum_tt / sum_ss);
scale2 = sum_tt_ / sum_ss;
float scale = scale2;
transformation_matrix.topLeftCorner (3, 3) = scale * R;
const Eigen::Matrix<Scalar, 3, 1> Rc (scale * R * centroid_src.head (3));
transformation_matrix.block (0, 3, 3, 1) = centroid_tgt. head (3) - Rc;
}
//#define PCL_INSTANTIATE_TransformationEstimationSVD(T,U) template class PCL_EXPORTS pcl::registration::TransformationEstimationSVD<T,U>;
#endif /* PCL_REGISTRATION_TRANSFORMATION_ESTIMATION_SVD_SCALE_HPP_ */
pcl::registration::TransformationEstimation::Matrix4
Eigen::Matrix< Scalar, 4, 4 > Matrix4
Definition: transformation_estimation.h:65
pcl::registration::TransformationEstimationSVDScale::getTransformationFromCorrelation
void getTransformationFromCorrelation(const Eigen::Matrix< Scalar, Eigen::Dynamic, Eigen::Dynamic > &cloud_src_demean, const Eigen::Matrix< Scalar, 4, 1 > &centroid_src, const Eigen::Matrix< Scalar, Eigen::Dynamic, Eigen::Dynamic > &cloud_tgt_demean, const Eigen::Matrix< Scalar, 4, 1 > &centroid_tgt, Matrix4 &transformation_matrix) const
Obtain a 4x4 rigid transformation matrix from a correlation matrix H = src * tgt&#39;.
Definition: transformation_estimation_svd_scale.hpp:44