principal_curvatures.hpp

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#pragma once
 
#include <pcl/features/principal_curvatures.h>
 
#include <pcl/common/point_tests.h> // for pcl::isFinite
 
///////////////////////////////////////////////////////////////////////////////////////////
template <typename PointInT, typename PointNT, typename PointOutT> void
pcl::PrincipalCurvaturesEstimation<PointInT, PointNT, PointOutT>::setNumberOfThreads (unsigned int nr_threads)
{
#ifdef _OPENMP
  if (nr_threads == 0)
    threads_ = omp_get_num_procs();
  else
    threads_ = nr_threads;
  PCL_DEBUG ("[pcl::PrincipalCurvaturesEstimation::setNumberOfThreads] Setting number of threads to %u.\n", threads_);
#else
  threads_ = 1;
  if (nr_threads != 1)
    PCL_WARN ("[pcl::PrincipalCurvaturesEstimation::setNumberOfThreads] Parallelization is requested, but OpenMP is not available! Continuing without parallelization.\n");
#endif // _OPENMP
}
 
//////////////////////////////////////////////////////////////////////////////////////////////
template <typename PointInT, typename PointNT, typename PointOutT> void
pcl::PrincipalCurvaturesEstimation<PointInT, PointNT, PointOutT>::computePointPrincipalCurvatures (
      const pcl::PointCloud<PointNT> &normals, int p_idx, const pcl::Indices &indices,
      float &pcx, float &pcy, float &pcz, float &pc1, float &pc2)
{
  const auto n_idx = normals[p_idx].getNormalVector3fMap();
  EIGEN_ALIGN16 const Eigen::Matrix3f I = Eigen::Matrix3f::Identity ();
  EIGEN_ALIGN16 const Eigen::Matrix3f M = I - n_idx * n_idx.transpose ();    // projection matrix (into tangent plane)
 
  // Project normals into the tangent plane
  std::vector<Eigen::Vector3f, Eigen::aligned_allocator<Eigen::Vector3f> > projected_normals (indices.size());
  Eigen::Vector3f xyz_centroid = Eigen::Vector3f::Zero();
  for (std::size_t idx = 0; idx < indices.size(); ++idx)
  {
    const auto normal = normals[indices[idx]].getNormalVector3fMap();
    projected_normals[idx] = M * normal;
    xyz_centroid += projected_normals[idx];
  }
 
  // Estimate the XYZ centroid
  xyz_centroid /= static_cast<float> (indices.size ());
 
  // Initialize to 0
  EIGEN_ALIGN16 Eigen::Matrix3f covariance_matrix = Eigen::Matrix3f::Zero();
 
  // For each point in the cloud
  for (std::size_t idx = 0; idx < indices.size (); ++idx)
  {
    const Eigen::Vector3f demean = projected_normals[idx] - xyz_centroid;
 
    const double demean_xy = demean[0] * demean[1];
    const double demean_xz = demean[0] * demean[2];
    const double 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
  Eigen::Vector3f eigenvalues;
  Eigen::Vector3f eigenvector;
  pcl::eigen33 (covariance_matrix, eigenvalues);
  pcl::computeCorrespondingEigenVector (covariance_matrix, eigenvalues [2], eigenvector);
 
  pcx = eigenvector [0];
  pcy = eigenvector [1];
  pcz = eigenvector [2];
  const 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 ().
  pcl::Indices 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)
  {
#pragma omp parallel for \
  default(none) \
  shared(output) \
  firstprivate(nn_indices, nn_dists) \
  num_threads(threads_) \
  schedule(dynamic, chunk_size_)
    // Iterating over the entire index vector
    for (std::ptrdiff_t idx = 0; idx < static_cast<std::ptrdiff_t> (indices_->size ()); ++idx)
    {
      if (this->searchForNeighbors ((*indices_)[idx], search_parameter_, nn_indices, nn_dists) == 0)
      {
        output[idx].principal_curvature[0] = output[idx].principal_curvature[1] = output[idx].principal_curvature[2] =
          output[idx].pc1 = output[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[idx].principal_curvature[0], output[idx].principal_curvature[1], output[idx].principal_curvature[2],
                                       output[idx].pc1, output[idx].pc2);
    }
  }
  else
  {
#pragma omp parallel for \
  default(none) \
  shared(output) \
  firstprivate(nn_indices, nn_dists) \
  num_threads(threads_) \
  schedule(dynamic, chunk_size_)
    // Iterating over the entire index vector
    for (std::ptrdiff_t idx = 0; idx < static_cast<std::ptrdiff_t> (indices_->size ()); ++idx)
    {
      if (!isFinite ((*input_)[(*indices_)[idx]]) ||
          this->searchForNeighbors ((*indices_)[idx], search_parameter_, nn_indices, nn_dists) == 0)
      {
        output[idx].principal_curvature[0] = output[idx].principal_curvature[1] = output[idx].principal_curvature[2] =
          output[idx].pc1 = output[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[idx].principal_curvature[0], output[idx].principal_curvature[1], output[idx].principal_curvature[2],
                                       output[idx].pc1, output[idx].pc2);
    }
  }
}
 
#define PCL_INSTANTIATE_PrincipalCurvaturesEstimation(T,NT,OutT) template class PCL_EXPORTS pcl::PrincipalCurvaturesEstimation<T,NT,OutT>;