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// Copyright (c) 2007-09 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/compute_average_spacing.h $ // $Id: include/CGAL/compute_average_spacing.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // Author(s) : Pierre Alliez and Laurent Saboret #ifndef CGAL_AVERAGE_SPACING_3_H #define CGAL_AVERAGE_SPACING_3_H #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include namespace CGAL { // ---------------------------------------------------------------------------- // Private section // ---------------------------------------------------------------------------- /// \cond SKIP_IN_MANUAL namespace internal { /// Computes average spacing of one query point from K nearest neighbors. /// /// \pre `k >= 2`. /// /// @tparam Kernel Geometric traits class. /// @tparam Tree KD-tree. /// /// @return average spacing (scalar). template typename NeighborQuery::Kernel::FT compute_average_spacing(const typename NeighborQuery::Kernel::Point_3& query, ///< 3D point whose spacing we want to compute const NeighborQuery& neighbor_query, ///< KD-tree unsigned int k) ///< number of neighbors { // basic geometric types typedef typename NeighborQuery::Kernel Kernel; typedef typename Kernel::FT FT; typedef typename Kernel::Point_3 Point; // performs k + 1 queries (if unique the query point is // output first). search may be aborted when k is greater // than number of input points FT sum_distances = (FT)0.0; unsigned int i = 0; neighbor_query.get_points (query, k, 0, boost::make_function_output_iterator ([&](const Point& p) { sum_distances += CGAL::approximate_sqrt(CGAL::squared_distance (query,p)); ++ i; })); // output average spacing return sum_distances / (FT)i; } } /* namespace internal */ /// \endcond // ---------------------------------------------------------------------------- // Public section // ---------------------------------------------------------------------------- /** \ingroup PkgPointSetProcessing3Algorithms Computes average spacing from k nearest neighbors. \pre `k >= 2.` \tparam ConcurrencyTag enables sequential versus parallel algorithm. Possible values are `Sequential_tag`, `Parallel_tag`, and `Parallel_if_available_tag`. \tparam PointRange is a model of `ConstRange`. The value type of its iterator is the key type of the named parameter `point_map`. \param points input point range \param k number of neighbors. \param np an optional sequence of \ref bgl_namedparameters "Named Parameters" among the ones listed below \cgalNamedParamsBegin \cgalParamNBegin{point_map} \cgalParamDescription{a property map associating points to the elements of the point set `points`} \cgalParamType{a model of `ReadablePropertyMap` whose key type is the value type of the iterator of `PointRange` and whose value type is `geom_traits::Point_3`} \cgalParamDefault{`CGAL::Identity_property_map`} \cgalParamNEnd \cgalParamNBegin{callback} \cgalParamDescription{a mechanism to get feedback on the advancement of the algorithm while it's running and to interrupt it if needed} \cgalParamType{an instance of `std::function`.} \cgalParamDefault{unused} \cgalParamExtra{It is called regularly when the algorithm is running: the current advancement (between 0. and 1.) is passed as parameter. If it returns `true`, then the algorithm continues its execution normally; if it returns `false`, the algorithm is stopped, the average spacing value estimated on the processed subset is returned.} \cgalParamExtra{The callback will be copied and therefore needs to be lightweight.} \cgalParamExtra{When `CGAL::Parallel_tag` is used, the `callback` mechanism is called asynchronously on a separate thread and shouldn't access or modify the variables that are parameters of the algorithm.} \cgalParamNEnd \cgalParamNBegin{geom_traits} \cgalParamDescription{an instance of a geometric traits class} \cgalParamType{a model of `Kernel`} \cgalParamDefault{a \cgal Kernel deduced from the point type, using `CGAL::Kernel_traits`} \cgalParamNEnd \cgalNamedParamsEnd \return average spacing (scalar). The return type `FT` is a number type. It is either deduced from the `geom_traits` \ref bgl_namedparameters "Named Parameters" if provided, or the geometric traits class deduced from the point property map of `points`. */ template #ifdef DOXYGEN_RUNNING FT #else typename Point_set_processing_3_np_helper::FT #endif compute_average_spacing( const PointRange& points, unsigned int k, const CGAL_NP_CLASS& np = parameters::default_values()) { using parameters::choose_parameter; using parameters::get_parameter; // basic geometric types typedef typename PointRange::const_iterator iterator; typedef Point_set_processing_3_np_helper NP_helper; typedef typename NP_helper::Const_point_map PointMap; typedef typename NP_helper::Geom_traits Kernel; PointMap point_map = NP_helper::get_const_point_map(points, np); const std::function& callback = choose_parameter(get_parameter(np, internal_np::callback), std::function()); // types for K nearest neighbors search structure typedef typename Kernel::FT FT; typedef Point_set_processing_3::internal::Neighbor_query Neighbor_query; // precondition: at least one element in the container. // to fix: should have at least three distinct points // but this is costly to check CGAL_precondition(points.begin() != points.end()); // precondition: at least 2 nearest neighbors CGAL_precondition(k >= 2); // Instantiate a KD-tree search. Neighbor_query neighbor_query (points, point_map); // iterate over input points, compute and output normal // vectors (already normalized) FT sum_spacings = (FT)0.0; std::size_t nb = 0; std::size_t nb_points = std::distance(points.begin(), points.end()); Point_set_processing_3::internal::Callback_wrapper callback_wrapper (callback, nb_points); std::vector spacings (nb_points, -1); typedef boost::zip_iterator::iterator> > Zip_iterator; CGAL::for_each (CGAL::make_range (boost::make_zip_iterator (boost::make_tuple (points.begin(), spacings.begin())), boost::make_zip_iterator (boost::make_tuple (points.end(), spacings.end()))), [&](const typename Zip_iterator::reference& t) { if (callback_wrapper.interrupted()) return false; get<1>(t) = CGAL::internal::compute_average_spacing (get(point_map, get<0>(t)), neighbor_query, k); ++ callback_wrapper.advancement(); return true; }); for (unsigned int i = 0; i < spacings.size (); ++ i) if (spacings[i] >= 0.) { sum_spacings += spacings[i]; ++ nb; } callback_wrapper.join(); // return average spacing return sum_spacings / (FT)(nb); } } //namespace CGAL #include #endif // CGAL_AVERAGE_SPACING_3_H