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// Copyright (c) 2005 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/Principal_component_analysis/include/CGAL/linear_least_squares_fitting_segments_3.h $ // $Id: include/CGAL/linear_least_squares_fitting_segments_3.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // Author(s) : Pierre Alliez and Sylvain Pion and Ankit Gupta #ifndef CGAL_LINEAR_LEAST_SQUARES_FITTING_SEGMENTS_3_H #define CGAL_LINEAR_LEAST_SQUARES_FITTING_SEGMENTS_3_H #include #include #include #include #include #include #include #include namespace CGAL { namespace internal { // fits a plane to a 3D segment set template < typename InputIterator, typename K, typename DiagonalizeTraits > typename K::FT linear_least_squares_fitting_3(InputIterator first, InputIterator beyond, typename K::Plane_3& plane, // best fit plane typename K::Point_3& c, // centroid const typename K::Segment_3*, // used for indirection const K& k, // kernel const CGAL::Dimension_tag<1>& tag, const DiagonalizeTraits& diagonalize_traits) { typedef typename K::Segment_3 Segment; // precondition: at least one element in the container. CGAL_precondition(first != beyond); // compute centroid c = centroid(first,beyond,k,tag); // assemble covariance matrix typename DiagonalizeTraits::Covariance_matrix covariance = {{ 0., 0., 0., 0., 0., 0. }}; assemble_covariance_matrix_3(first,beyond,covariance,c,k,(Segment*) nullptr,tag, diagonalize_traits); // compute fitting plane return fitting_plane_3(covariance,c,plane,k,diagonalize_traits); } // end linear_least_squares_fitting_segments_3 // fits a plane to a 3D segment set template < typename InputIterator, typename K, typename DiagonalizeTraits > typename K::FT linear_least_squares_fitting_3(InputIterator first, InputIterator beyond, typename K::Plane_3& plane, // best fit plane typename K::Point_3& c, // centroid const typename K::Segment_3*, // used for indirection const K& k, // kernel const CGAL::Dimension_tag<0>& tag, const DiagonalizeTraits& diagonalize_traits) { typedef typename K::Segment_3 Segment; typedef typename K::Point_3 Point; auto converter = [](const Segment& s, int idx) -> Point { return s[idx]; }; // precondition: at least one element in the container. CGAL_precondition(first != beyond); return linear_least_squares_fitting_3 (make_subiterator (first, converter), make_subiterator (beyond), plane,c,(Point*)nullptr,k,tag, diagonalize_traits); } // end linear_least_squares_fitting_segments_3 // fits a line to a 3D segment set template < typename InputIterator, typename K, typename DiagonalizeTraits > typename K::FT linear_least_squares_fitting_3(InputIterator first, InputIterator beyond, typename K::Line_3& line, // best fit line typename K::Point_3& c, // centroid const typename K::Segment_3*, // used for indirection const K& k, // kernel const CGAL::Dimension_tag<1>& tag, const DiagonalizeTraits& diagonalize_traits) { typedef typename K::Segment_3 Segment; // precondition: at least one element in the container. CGAL_precondition(first != beyond); // compute centroid c = centroid(first,beyond,k,tag); // assemble covariance matrix typename DiagonalizeTraits::Covariance_matrix covariance = {{ 0., 0., 0., 0., 0., 0. }}; assemble_covariance_matrix_3(first,beyond,covariance,c,k,(Segment*) nullptr,tag, diagonalize_traits); // compute fitting line return fitting_line_3(covariance,c,line,k,diagonalize_traits); } // end linear_least_squares_fitting_segments_3 // fits a plane to a 3D segment set template < typename InputIterator, typename K, typename DiagonalizeTraits > typename K::FT linear_least_squares_fitting_3(InputIterator first, InputIterator beyond, typename K::Line_3& line, // best fit line typename K::Point_3& c, // centroid const typename K::Segment_3*, // used for indirection const K& k, // kernel const CGAL::Dimension_tag<0>& tag, const DiagonalizeTraits& diagonalize_traits) { typedef typename K::Segment_3 Segment; typedef typename K::Point_3 Point; auto converter = [](const Segment& s, int idx) -> Point { return s[idx]; }; // precondition: at least one element in the container. CGAL_precondition(first != beyond); return linear_least_squares_fitting_3 (make_subiterator (first, converter), make_subiterator (beyond), line,c,(Point*)nullptr,k,tag, diagonalize_traits); } // end linear_least_squares_fitting_segments_3 } // end namespace internal } //namespace CGAL #endif // CGAL_LINEAR_LEAST_SQUARES_FITTING_SEGMENTS_3_H