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* $Id: principal_curvatures.hpp 5026 2012-03-12 02:51:44Z rusu $
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#ifndef PCL_FEATURES_IMPL_PRINCIPAL_CURVATURES_H_
#define PCL_FEATURES_IMPL_PRINCIPAL_CURVATURES_H_
#include <pcl/features/principal_curvatures.h>
//////////////////////////////////////////////////////////////////////////////////////////////
template <typename PointInT, typename PointNT, typename PointOutT> void
pcl::PrincipalCurvaturesEstimation<PointInT, PointNT, PointOutT>::computePointPrincipalCurvatures (
const pcl::PointCloud<PointNT> &normals, int p_idx, const std::vector<int> &indices,
float &pcx, float &pcy, float &pcz, float &pc1, float &pc2)
{
EIGEN_ALIGN16 Eigen::Matrix3f I = Eigen::Matrix3f::Identity ();
Eigen::Vector3f n_idx (normals.points[p_idx].normal[0], normals.points[p_idx].normal[1], normals.points[p_idx].normal[2]);
EIGEN_ALIGN16 Eigen::Matrix3f M = I - n_idx * n_idx.transpose (); // projection matrix (into tangent plane)
// Project normals into the tangent plane
Eigen::Vector3f normal;
projected_normals_.resize (indices.size ());
xyz_centroid_.setZero ();
for (size_t idx = 0; idx < indices.size(); ++idx)
{
normal[0] = normals.points[indices[idx]].normal[0];
normal[1] = normals.points[indices[idx]].normal[1];
normal[2] = normals.points[indices[idx]].normal[2];
projected_normals_[idx] = M * normal;
xyz_centroid_ += projected_normals_[idx];
}
// Estimate the XYZ centroid
xyz_centroid_ /= static_cast<float> (indices.size ());
// Initialize to 0
covariance_matrix_.setZero ();
double demean_xy, demean_xz, demean_yz;
// For each point in the cloud
for (size_t idx = 0; idx < indices.size (); ++idx)
{
demean_ = projected_normals_[idx] - xyz_centroid_;
demean_xy = demean_[0] * demean_[1];
demean_xz = demean_[0] * demean_[2];
demean_yz = demean_[1] * demean_[2];
covariance_matrix_(0, 0) += demean_[0] * demean_[0];
covariance_matrix_(0, 1) += static_cast<float> (demean_xy);
covariance_matrix_(0, 2) += static_cast<float> (demean_xz);
covariance_matrix_(1, 0) += static_cast<float> (demean_xy);
covariance_matrix_(1, 1) += demean_[1] * demean_[1];
covariance_matrix_(1, 2) += static_cast<float> (demean_yz);
covariance_matrix_(2, 0) += static_cast<float> (demean_xz);
covariance_matrix_(2, 1) += static_cast<float> (demean_yz);
covariance_matrix_(2, 2) += demean_[2] * demean_[2];
}
// Extract the eigenvalues and eigenvectors
pcl::eigen33 (covariance_matrix_, eigenvalues_);
pcl::computeCorrespondingEigenVector (covariance_matrix_, eigenvalues_ [2], eigenvector_);
pcx = eigenvector_ [0];
pcy = eigenvector_ [1];
pcz = eigenvector_ [2];
float indices_size = 1.0f / static_cast<float> (indices.size ());
pc1 = eigenvalues_ [2] * indices_size;
pc2 = eigenvalues_ [1] * indices_size;
}
//////////////////////////////////////////////////////////////////////////////////////////////
template <typename PointInT, typename PointNT, typename PointOutT> void
pcl::PrincipalCurvaturesEstimation<PointInT, PointNT, PointOutT>::computeFeature (PointCloudOut &output)
{
// Allocate enough space to hold the results
// \note This resize is irrelevant for a radiusSearch ().
std::vector<int> nn_indices (k_);
std::vector<float> nn_dists (k_);
output.is_dense = true;
// Save a few cycles by not checking every point for NaN/Inf values if the cloud is set to dense
if (input_->is_dense)
{
// Iterating over the entire index vector
for (size_t idx = 0; idx < indices_->size (); ++idx)
{
if (this->searchForNeighbors ((*indices_)[idx], search_parameter_, nn_indices, nn_dists) == 0)
{
output.points[idx].principal_curvature[0] = output.points[idx].principal_curvature[1] = output.points[idx].principal_curvature[2] =
output.points[idx].pc1 = output.points[idx].pc2 = std::numeric_limits<float>::quiet_NaN ();
output.is_dense = false;
continue;
}
// Estimate the principal curvatures at each patch
computePointPrincipalCurvatures (*normals_, (*indices_)[idx], nn_indices,
output.points[idx].principal_curvature[0], output.points[idx].principal_curvature[1], output.points[idx].principal_curvature[2],
output.points[idx].pc1, output.points[idx].pc2);
}
}
else
{
// Iterating over the entire index vector
for (size_t idx = 0; idx < indices_->size (); ++idx)
{
if (!isFinite ((*input_)[(*indices_)[idx]]) ||
this->searchForNeighbors ((*indices_)[idx], search_parameter_, nn_indices, nn_dists) == 0)
{
output.points[idx].principal_curvature[0] = output.points[idx].principal_curvature[1] = output.points[idx].principal_curvature[2] =
output.points[idx].pc1 = output.points[idx].pc2 = std::numeric_limits<float>::quiet_NaN ();
output.is_dense = false;
continue;
}
// Estimate the principal curvatures at each patch
computePointPrincipalCurvatures (*normals_, (*indices_)[idx], nn_indices,
output.points[idx].principal_curvature[0], output.points[idx].principal_curvature[1], output.points[idx].principal_curvature[2],
output.points[idx].pc1, output.points[idx].pc2);
}
}
}
//////////////////////////////////////////////////////////////////////////////////////////////
template <typename PointInT, typename PointNT> void
pcl::PrincipalCurvaturesEstimation<PointInT, PointNT, Eigen::MatrixXf>::computeFeatureEigen (pcl::PointCloud<Eigen::MatrixXf> &output)
{
// Resize the output dataset
output.points.resize (indices_->size (), 5);
// Allocate enough space to hold the results
// \note This resize is irrelevant for a radiusSearch ().
std::vector<int> nn_indices (k_);
std::vector<float> nn_dists (k_);
output.is_dense = true;
// Save a few cycles by not checking every point for NaN/Inf values if the cloud is set to dense
if (input_->is_dense)
{
// Iterating over the entire index vector
for (size_t idx = 0; idx < indices_->size (); ++idx)
{
if (this->searchForNeighbors ((*indices_)[idx], search_parameter_, nn_indices, nn_dist