principal_curvatures.h

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#pragma once
 
#include <pcl/features/feature.h>
 
namespace pcl
{
  /** \brief PrincipalCurvaturesEstimation estimates the directions (eigenvectors) and magnitudes (eigenvalues) of
    * principal surface curvatures for a given point cloud dataset containing points and normals.
    *
    * The recommended PointOutT is pcl::PrincipalCurvatures.
    *
    * \note The code is stateful as we do not expect this class to be multicore parallelized. Please look at
    * \ref NormalEstimationOMP for an example on how to extend this to parallel implementations.
    *
    * \author Radu B. Rusu, Jared Glover
    * \ingroup features
    */
  template <typename PointInT, typename PointNT, typename PointOutT = pcl::PrincipalCurvatures>
  class PrincipalCurvaturesEstimation : public FeatureFromNormals<PointInT, PointNT, PointOutT>
  {
    public:
      using Ptr = shared_ptr<PrincipalCurvaturesEstimation<PointInT, PointNT, PointOutT> >;
      using ConstPtr = shared_ptr<const PrincipalCurvaturesEstimation<PointInT, PointNT, PointOutT> >;
      using Feature<PointInT, PointOutT>::feature_name_;
      using Feature<PointInT, PointOutT>::getClassName;
      using Feature<PointInT, PointOutT>::indices_;
      using Feature<PointInT, PointOutT>::k_;
      using Feature<PointInT, PointOutT>::search_parameter_;
      using Feature<PointInT, PointOutT>::surface_;
      using Feature<PointInT, PointOutT>::input_;
      using FeatureFromNormals<PointInT, PointNT, PointOutT>::normals_;
 
      using PointCloudOut = typename Feature<PointInT, PointOutT>::PointCloudOut;
      using PointCloudIn = pcl::PointCloud<PointInT>;
 
      /** \brief Empty constructor. */
      PrincipalCurvaturesEstimation () : 
        xyz_centroid_ (Eigen::Vector3f::Zero ()), 
        demean_ (Eigen::Vector3f::Zero ()),
        covariance_matrix_ (Eigen::Matrix3f::Zero ()),
        eigenvector_ (Eigen::Vector3f::Zero ()),
        eigenvalues_ (Eigen::Vector3f::Zero ())
      {
        feature_name_ = "PrincipalCurvaturesEstimation";
      };
 
      /** \brief Perform Principal Components Analysis (PCA) on the point normals of a surface patch in the tangent
       *  plane of the given point normal, and return the principal curvature (eigenvector of the max eigenvalue),
       *  along with both the max (pc1) and min (pc2) eigenvalues
       * \param[in] normals the point cloud normals
       * \param[in] p_idx the query point at which the least-squares plane was estimated
       * \param[in] indices the point cloud indices that need to be used
       * \param[out] pcx the principal curvature X direction
       * \param[out] pcy the principal curvature Y direction
       * \param[out] pcz the principal curvature Z direction
       * \param[out] pc1 the max eigenvalue of curvature
       * \param[out] pc2 the min eigenvalue of curvature
       */
      void
      computePointPrincipalCurvatures (const pcl::PointCloud<PointNT> &normals,
                                       int p_idx, const pcl::Indices &indices,
                                       float &pcx, float &pcy, float &pcz, float &pc1, float &pc2);
 
    protected:
 
      /** \brief Estimate the principal curvature (eigenvector of the max eigenvalue), along with both the max (pc1)
        * and min (pc2) eigenvalues for all points given in <setInputCloud (), setIndices ()> using the surface in
        * setSearchSurface () and the spatial locator in setSearchMethod ()
        * \param[out] output the resultant point cloud model dataset that contains the principal curvature estimates
        */
      void
      computeFeature (PointCloudOut &output) override;
 
    private:
      /** \brief A pointer to the input dataset that contains the point normals of the XYZ dataset. */
      std::vector<Eigen::Vector3f, Eigen::aligned_allocator<Eigen::Vector3f> > projected_normals_;
 
      /** \brief SSE aligned placeholder for the XYZ centroid of a surface patch. */
      Eigen::Vector3f xyz_centroid_;
 
      /** \brief Temporary point placeholder. */
      Eigen::Vector3f demean_;
 
      /** \brief Placeholder for the 3x3 covariance matrix at each surface patch. */
      EIGEN_ALIGN16 Eigen::Matrix3f covariance_matrix_;
 
      /** \brief SSE aligned eigenvectors placeholder for a covariance matrix. */
      Eigen::Vector3f eigenvector_;
      /** \brief eigenvalues placeholder for a covariance matrix. */
      Eigen::Vector3f eigenvalues_;
  };
}
 
#ifdef PCL_NO_PRECOMPILE
#include <pcl/features/impl/principal_curvatures.hpp>
#endif