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// Copyright (C) 2013 INRIA - Sophia Antipolis (France). // Copyright (c) 2017 GeometryFactory Sarl (France). // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Scale_space_reconstruction_3/include/CGAL/Scale_space_surface_reconstruction_3.h $ // $Id: include/CGAL/Scale_space_surface_reconstruction_3.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // Author(s): Thijs van Lankveld, Simon Giraudot #ifndef CGAL_SCALE_SPACE_SURFACE_RECONSTRUCTION_3_H #define CGAL_SCALE_SPACE_SURFACE_RECONSTRUCTION_3_H #include #include #include namespace CGAL { /// computes a triangulated surface mesh interpolating a point set. /** \ingroup PkgScaleSpaceReconstruction3Classes * * Scale space reconstruction consists in combining a smoothing * algorithm (see `Scale_space_reconstruction_3::Smoother`) that is * used to generate a user-specified number of scales with a meshing * algorithm (see `Scale_space_reconstruction_3::Mesher`). * * The class stores the point set at the current scale and the * reconstructed surface. User can either use the reconstructed * surface at the current scale (smoothed version) or propagate the * connectivity of the facets back to the original point set. This * latest option makes it possible to reconstruct an interpolative * surface on a noisy point set. * * \tparam Geom_traits is the geometric traits class. It must be a * model of `DelaunayTriangulationTraits_3`. It must have a * `RealEmbeddable` field number type. Generally, * `Exact_predicates_inexact_constructions_kernel` is preferred. */ template class Scale_space_surface_reconstruction_3 { public: typedef typename Geom_traits::FT FT; ///< defines the field number type. typedef typename Geom_traits::Point_3 Point; ///< defines the point type. typedef std::array Facet; ///< defines a facet of the surface (triple of point indices). #ifdef DOXYGEN_RUNNING typedef unspecified_type Point_range; ///< defines a range points. typedef unspecified_type Point_iterator; ///< defines an iterator over the points. typedef const unspecified_type Point_const_iterator; ///< defines a constant iterator over the points. #else typedef typename std::vector Point_range; typedef typename Point_range::iterator Point_iterator; typedef typename Point_range::const_iterator Point_const_iterator; #endif #ifdef DOXYGEN_RUNNING typedef unspecified_type Facet_range; ///< defines a range of facets typedef unspecified_type Facet_iterator; ///< defines an iterator over the facets. typedef const unspecified_type Facet_const_iterator; ///< defines a constant iterator over the facets. #else typedef typename std::vector Facet_range; typedef typename Facet_range::iterator Facet_iterator; typedef typename Facet_range::const_iterator Facet_const_iterator; #endif // Default algorithms used (same as in old API) typedef Scale_space_reconstruction_3::Weighted_PCA_smoother Weighted_PCA_smoother; typedef Scale_space_reconstruction_3::Alpha_shape_mesher Alpha_shape_mesher; private: Point_range m_points; Facet_range m_facets; FT m_internal_squared_radius; // For backward compatibility public: /// @{ /// \name Initialization /** * Empty constructor. */ Scale_space_surface_reconstruction_3 () : m_internal_squared_radius(0.) { } /** * Constructs a reconstruction object with the given point range. * * \note This constructor is equivalent to constructing an empty * object and then calling [insert(begin, end)](\ref insert). * * \tparam InputIterator is an iterator over the point collection. * The value type of the iterator must be a `Point`. * * \param begin is an iterator to the first point of the collection. * \param end is a past-the-end iterator for the point collection. */ template Scale_space_surface_reconstruction_3 (InputIterator begin, InputIterator end) : m_internal_squared_radius (0.) { insert (begin, end); } /// inserts a point into the scale-space at the current scale. /** \param p is the point to insert. * * \note Inserting the point does not automatically construct or * update the surface. * * \note In order to construct the surface, call * `#reconstruct_surface()`. * * \sa `insert(InputIterator begin, InputIterator end)`. */ void insert (const Point& p) { m_points.push_back (p); } /// inserts a collection of points into the scale-space at the current scale. /** \tparam InputIterator is an iterator over the point collection. * The value type of the iterator must be a `Point`. * * \param begin is an iterator to the first point of the collection. * \param end is a past-the-end iterator for the point collection. * * \note Inserting the points does not automatically construct or * update the surface. * * \note In order to construct the surface, call * `reconstruct_surface()` after inserting the points. * * \sa `insert(const Point& p)`. */ template void insert (InputIterator begin, InputIterator end) { std::copy (begin, end, std::back_inserter (m_points)); } /// @} /// @{ /// \name Algorithms /// increases the scale by a number of iterations. /** Each iteration the scale is increased, the points set at a higher scale * is computed. At a higher scale, the points set is smoother. * * \note If no smoothing algorithm is specified, the default * `Weighted_PCA_smoother` is used. * * \tparam Smoother model of `Scale_space_reconstruction_3::Smoother`. * * \param iterations is the number of iterations to perform. If * `iterations` is 0, nothing happens. * \param smoother the smoother object. * * \note This method processes the point set at the current scale. The * points can be set with [insert(begin, end)](\ref insert). * * \note If the surface was already constructed, increasing the scale * will not automatically adjust the surface. * * \sa `reconstruct_surface()`. */ template void increase_scale (std::size_t iterations = 1, const Smoother& smoother = Smoother()) { for (std::size_t i = 0; i < iterations; ++ i) const_cast(smoother) (m_points.begin(), m_points.end()); } /// \cond SKIP_IN_MANUAL void increase_scale (std::size_t iterations = 1) { Weighted_PCA_smoother smoother; increase_scale (iterations, smoother); m_internal_squared_radius = smoother.squared_radius(); } /// \endcond /// constructs a triangle mesh from the point set at a fixed scale. /** The order of the points at the current scale is the same as the order * at the original scale, meaning that the surface can interpolate the * point set at the original scale by applying the indices of the surface * triangles to the original point set. * * After construction, the facets of the surface can be iterated using * `facets_begin()` and `facets_end()`. * * \note If no meshing algorithm is specified, the default * `Alpha_shape_mesher` is used. * * \tparam Mesher model of `Scale_space_reconstruction_3::Mesher`. * * \param mesher the mesher object. * * \note This method processes the point set at the current scale. The * points can be set with [insert(begin, end)](\ref insert). * * \sa `increase_scale()`. */ template void reconstruct_surface (const Mesher& mesher = Mesher()) { m_facets.clear(); const_cast(mesher) (m_points.begin(), m_points.end(), std::back_inserter (m_facets)); } /// \cond SKIP_IN_MANUAL void reconstruct_surface () { CGAL_assertion (m_internal_squared_radius != 0.); reconstruct_surface (Alpha_shape_mesher(m_internal_squared_radius)); } /// \endcond /// @} /// @{ /// \name Output /// gives the number of points of the surface. std::size_t number_of_points() const { return m_points.size(); } /// gives the range of points const Point_range& points() const { return m_points; } /// gives an iterator to the first point at the current scale. /** \warning Changes to the scale-space do not cause an automatic update to * the surface. */ Point_iterator points_begin() { return m_points.begin(); } /// gives a past-the-end iterator of the points at the current scale. /** \warning Changes to the scale-space do not cause an automatic update to * the surface. */ Point_iterator points_end() { return m_points.end(); } /// gives an iterator to the first point at the current scale. Point_const_iterator points_begin() const { return m_points.begin(); } /// gives a past-the-end iterator of the points at the current scale. Point_const_iterator points_end() const { return m_points.end(); } /// gives the number of facets of the surface. std::size_t number_of_facets() const { return m_facets.size(); } /// gives the range of facets const Facet_range& facets() const { return m_facets; } /// gives an iterator to the first triple in the surface. /** \warning Changes to the surface may change its topology. */ Facet_iterator facets_begin() { return m_facets.begin(); } /// gives a past-the-end iterator of the triples in the surface. /** \warning Changes to the surface may change its topology. */ Facet_iterator facets_end() { return m_facets.end(); } /// gives an iterator to the first triple in the surface. Facet_const_iterator facets_begin() const { return m_facets.begin(); } /// gives a past-the-end iterator of the triples in the surface. Facet_const_iterator facets_end() const { return m_facets.end(); } /// @} }; template std::ostream& operator<< (std::ostream& os, const CGAL::Scale_space_surface_reconstruction_3& ss) { typedef CGAL::Scale_space_surface_reconstruction_3 Reconstruction; os << "OFF" << std::endl << ss.number_of_points() << " " << ss.number_of_facets() << " 0" << std::endl; for (typename Reconstruction::Point_const_iterator it = ss.points_begin(); it != ss.points_end(); ++ it) os << *it << std::endl; for (typename Reconstruction::Facet_const_iterator it = ss.facets_begin(); it != ss.facets_end(); ++ it) os << "3 " << (*it)[0] << " " << (*it)[1] << " " << (*it)[2] << std::endl; return os; } } // namespace CGAL #endif // CGAL_SCALE_SPACE_SURFACE_RECONSTRUCTION_3_H