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// Copyright (c) 2014 INRIA Sophia-Antipolis (France). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Point_set_processing_3/include/CGAL/vcm_estimate_edges.h $ // $Id: include/CGAL/vcm_estimate_edges.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // Author(s) : Jocelyn Meyron and Quentin Mérigot // #ifndef CGAL_VCM_ESTIMATE_EDGES_H #define CGAL_VCM_ESTIMATE_EDGES_H #include #include #include namespace CGAL { /// \ingroup PkgPointSetProcessing3Algorithms /// determines if a point is on a sharp feature edge from a point set /// for which the Voronoi covariance Measures have been computed. /// /// The sharpness of the edge, specified by parameter `threshold`, /// is used to filtered points according to the external angle around a sharp feature. /// /// A point is considered to be on a sharp feature if the external angle `alpha` at the edge is such that /// `alpha >= 2 / sqrt(3) * sqrt(threshold)`. /// In particular this means that if the input contains sharp features /// with different external angles, the one with the smallest external angle should be considered, /// which however would result in selecting more points on sharper regions. /// More details are provided in \cgalCite{cgal:mog-vbcfe-11}. /// /// \tparam VCMTraits is a model of `DiagonalizeTraits`. It can be /// omitted: if Eigen 3 (or greater) is available and /// `CGAL_EIGEN3_ENABLED` is defined then an overload using /// `Eigen_diagonalize_traits` is provided. Otherwise, the internal /// implementation `Diagonalize_traits` is used. /// \sa `CGAL::compute_vcm()` /// template bool vcm_is_on_feature_edge (std::array &cov, double threshold, VCMTraits) { std::array eigenvalues; if (!VCMTraits:: diagonalize_selfadjoint_covariance_matrix(cov, eigenvalues) ) { return false; } // Compute the ratio double r = eigenvalues[1] / (eigenvalues[0] + eigenvalues[1] + eigenvalues[2]); if (r >= threshold) return true; return false; } template bool vcm_is_on_feature_edge (std::array &cov, double threshold) { return vcm_is_on_feature_edge(cov, threshold, CGAL::Default_diagonalize_traits()); } } // namespace CGAL #include #endif // CGAL_VCM_ESTIMATE_EDGES_H