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_
 
namespace pcl {
 
namespace registration {
 
template <typename PointSource, typename PointTarget, typename Scalar>
void
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()).template 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.template topLeftCorner<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;
 
  double sum_ss = 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) * src_(0, corrIdx);
    sum_tt += cloud_tgt_demean(1, corrIdx) * src_(1, corrIdx);
    sum_tt += cloud_tgt_demean(2, corrIdx) * src_(2, corrIdx);
  }
 
  float scale = sum_tt / sum_ss;
  transformation_matrix.template topLeftCorner<3, 3>() = scale * R;
  const Eigen::Matrix<Scalar, 3, 1> Rc(scale * R * centroid_src.template head<3>());
  transformation_matrix.template block<3, 1>(0, 3) =
      centroid_tgt.template head<3>() - Rc;
}
 
} // namespace registration
} // namespace pcl
 
//#define PCL_INSTANTIATE_TransformationEstimationSVD(T,U) template class PCL_EXPORTS
// pcl::registration::TransformationEstimationSVD<T,U>;
 
#endif /* PCL_REGISTRATION_TRANSFORMATION_ESTIMATION_SVD_SCALE_HPP_ */