546 lines
21 KiB
C++
Executable File
546 lines
21 KiB
C++
Executable File
// Copyright (c) 2015 GeometryFactory (France).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org).
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// You can redistribute it and/or modify it under the terms of the GNU
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// General Public License as published by the Free Software Foundation,
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// either version 3 of the License, or (at your option) any later version.
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//
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// Licensees holding a valid commercial license may use this file in
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// accordance with the commercial license agreement provided with the software.
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//
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// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
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// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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//
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// $URL$
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// $Id$
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// SPDX-License-Identifier: GPL-3.0+
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//
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//
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// Author(s) : Andreas Fabri
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#ifndef CGAL_POLYGON_MESH_PROCESSING_MEASURE_H
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#define CGAL_POLYGON_MESH_PROCESSING_MEASURE_H
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#include <CGAL/license/Polygon_mesh_processing/measure.h>
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#include <CGAL/disable_warnings.h>
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#include <CGAL/boost/graph/iterator.h>
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#include <CGAL/boost/graph/helpers.h>
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#include <CGAL/boost/graph/properties.h>
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#include <boost/unordered_set.hpp>
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#include <boost/graph/graph_traits.hpp>
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#include <CGAL/Polygon_mesh_processing/internal/named_function_params.h>
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#include <CGAL/Polygon_mesh_processing/internal/named_params_helper.h>
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#include <CGAL/squared_distance_3.h>
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#include <CGAL/Kernel/global_functions_3.h>
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#include <CGAL/Lazy.h> // needed for CGAL::exact(FT)/CGAL::exact(Lazy_exact_nt<T>)
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#include <utility>
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#ifdef DOXYGEN_RUNNING
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#define CGAL_PMP_NP_TEMPLATE_PARAMETERS NamedParameters
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#define CGAL_PMP_NP_CLASS NamedParameters
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#endif
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namespace CGAL {
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namespace Polygon_mesh_processing {
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// workaround for area(face_range,tm) overload
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template<typename CGAL_PMP_NP_TEMPLATE_PARAMETERS, typename NP>
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class GetGeomTraits<CGAL_PMP_NP_CLASS, NP>
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{
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public:
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struct type{};
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};
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/**
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* \ingroup measure_grp
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* computes the length of an edge of a given polygon mesh.
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* The edge is given by one of its halfedges, or the edge itself.
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*
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* @tparam PolygonMesh a model of `HalfedgeGraph`
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* @tparam NamedParameters a sequence of \ref pmp_namedparameters "Named Parameters"
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*
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* @param h one halfedge of the edge to compute the length
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* @param pmesh the polygon mesh to which `h` belongs
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* @param np optional sequence of \ref pmp_namedparameters "Named Parameters" among the ones listed below
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*
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* \cgalNamedParamsBegin
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* \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
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* If this parameter is omitted, an internal property map for
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* `CGAL::vertex_point_t` must be available in `PolygonMesh`\cgalParamEnd
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* \cgalParamBegin{geom_traits} an instance of a geometric traits class, model of `Kernel`\cgalParamEnd
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* \cgalNamedParamsEnd
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*
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* @return the length of `h`. The return type `FT` is a number type. It is
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* either deduced from the `geom_traits` \ref pmp_namedparameters "Named Parameters" if provided,
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* or the geometric traits class deduced from the point property map
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* of `pmesh`.
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*
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* \warning This function involves a square root computation.
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* If `FT` does not have a `sqrt()` operation, the square root computation
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* will be done approximately.
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*
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* @sa `face_border_length()`
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*/
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template<typename PolygonMesh,
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typename NamedParameters>
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#ifdef DOXYGEN_RUNNING
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FT
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#else
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typename GetGeomTraits<PolygonMesh, NamedParameters>::type::FT
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#endif
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edge_length(typename boost::graph_traits<PolygonMesh>::halfedge_descriptor h
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, const PolygonMesh& pmesh
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, const NamedParameters& np)
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{
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using boost::choose_param;
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using boost::get_param;
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typename GetVertexPointMap<PolygonMesh, NamedParameters>::const_type
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vpm = choose_param(get_param(np, internal_np::vertex_point),
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get_const_property_map(CGAL::vertex_point, pmesh));
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return CGAL::approximate_sqrt(CGAL::squared_distance(get(vpm, source(h, pmesh)),
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get(vpm, target(h, pmesh))));
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}
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template<typename PolygonMesh>
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typename CGAL::Kernel_traits<typename property_map_value<PolygonMesh,
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CGAL::vertex_point_t>::type>::Kernel::FT
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edge_length(typename boost::graph_traits<PolygonMesh>::halfedge_descriptor h
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, const PolygonMesh& pmesh)
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{
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return edge_length(h, pmesh,
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CGAL::Polygon_mesh_processing::parameters::all_default());
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}
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// edge overloads
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template<typename PolygonMesh,
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typename NamedParameters>
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typename GetGeomTraits<PolygonMesh, NamedParameters>::type::FT
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edge_length(typename boost::graph_traits<PolygonMesh>::edge_descriptor e
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, const PolygonMesh& pmesh
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, const NamedParameters& np)
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{
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return edge_length(halfedge(e,pmesh), pmesh, np);
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}
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template<typename PolygonMesh>
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typename CGAL::Kernel_traits<typename property_map_value<PolygonMesh,
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CGAL::vertex_point_t>::type>::Kernel::FT
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edge_length(typename boost::graph_traits<PolygonMesh>::edge_descriptor e
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, const PolygonMesh& pmesh)
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{
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return edge_length(halfedge(e,pmesh), pmesh);
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}
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/**
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* \ingroup measure_grp
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* computes the length of the border polyline
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* that contains a given halfedge.
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*
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* @tparam PolygonMesh a model of `HalfedgeGraph`
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* @tparam NamedParameters a sequence of \ref pmp_namedparameters "Named Parameters"
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*
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* @param h a halfedge of the border polyline of which the length is computed
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* @param pmesh the polygon mesh to which `h` belongs
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* @param np optional sequence of \ref pmp_namedparameters "Named Parameters" among the ones listed below
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*
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* \cgalNamedParamsBegin
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* \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
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* If this parameter is omitted, an internal property map for
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* `CGAL::vertex_point_t` must be available in `PolygonMesh`\cgalParamEnd
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* \cgalParamBegin{geom_traits} an instance of a geometric traits class, model of `Kernel`\cgalParamEnd
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* \cgalNamedParamsEnd
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*
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* @return the length of the sequence of border edges of `face(h, pmesh)`.
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* The return type `FT` is a number type. It is
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* either deduced from the `geom_traits` \ref pmp_namedparameters "Named Parameters" if provided,
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* or the geometric traits class deduced from the point property map
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* of `pmesh`.
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*
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* \warning This function involves a square root computation.
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* If `Kernel::FT` does not have a `sqrt()` operation, the square root computation
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* will be done approximately.
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*
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* @sa `edge_length()`
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*/
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template<typename PolygonMesh,
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typename NamedParameters>
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#ifdef DOXYGEN_RUNNING
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FT
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#else
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typename GetGeomTraits<PolygonMesh, NamedParameters>::type::FT
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#endif
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face_border_length(
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typename boost::graph_traits<PolygonMesh>::halfedge_descriptor h
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, const PolygonMesh& pmesh
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, const NamedParameters& np)
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{
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typename GetGeomTraits<PolygonMesh, NamedParameters>::type::FT result = 0.;
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BOOST_FOREACH(typename boost::graph_traits<PolygonMesh>::halfedge_descriptor haf,
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halfedges_around_face(h, pmesh))
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{
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result += edge_length(haf, pmesh, np);
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exact(result);
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}
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return result;
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}
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template<typename PolygonMesh>
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typename CGAL::Kernel_traits<typename property_map_value<PolygonMesh,
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CGAL::vertex_point_t>::type>::Kernel::FT
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face_border_length(
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typename boost::graph_traits<PolygonMesh>::halfedge_descriptor h
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, const PolygonMesh& pmesh)
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{
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return face_border_length(h, pmesh,
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CGAL::Polygon_mesh_processing::parameters::all_default());
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}
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/**
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* \ingroup measure_grp
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* finds the longest border of a given triangulated surface and returns
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* a halfedge that is part of this border and the length of this border.
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*
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* @tparam PolygonMesh a model of `HalfedgeGraph`
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* @tparam NamedParameters a sequence of \ref pmp_namedparameters "Named Parameters"
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*
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* @param pmesh the polygon mesh
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* @param np optional sequence of \ref pmp_namedparameters "Named Parameters" among the ones listed below
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*
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* \cgalNamedParamsBegin
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* \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
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* If this parameter is omitted, an internal property map for
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* `CGAL::vertex_point_t` must be available in `PolygonMesh`\cgalParamEnd
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* \cgalParamBegin{geom_traits} an instance of a geometric traits class, model of `Kernel`\cgalParamEnd
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* \cgalNamedParamsEnd
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*
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* @return a pair composed of two members:
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* - `first`: a halfedge on the longest border.
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* The return type `halfedge_descriptor` is a halfedge descriptor. It is
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* deduced from the graph traits corresponding to the type `PolygonMesh`.
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* - `second`: the length of the longest border
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* The return type `FT` is a number type. It is
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* either deduced from the `geom_traits` \ref pmp_namedparameters "Named Parameters" if provided,
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* or the geometric traits class deduced from the point property map
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* of `pmesh`
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*
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*/
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template<typename PolygonMesh,
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typename NamedParameters>
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#ifdef DOXYGEN_RUNNING
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std::pair<halfedge_descriptor, FT>
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#else
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std::pair<typename boost::graph_traits<PolygonMesh>::halfedge_descriptor,
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typename GetGeomTraits<PolygonMesh, NamedParameters>::type::FT>
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#endif
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longest_border(const PolygonMesh& pmesh
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, const NamedParameters& np)
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{
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typedef typename CGAL::Kernel_traits<typename property_map_value<PolygonMesh,
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CGAL::vertex_point_t>::type>::Kernel::FT FT;
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typedef typename boost::graph_traits<PolygonMesh>::halfedge_descriptor halfedge_descriptor;
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boost::unordered_set<halfedge_descriptor> visited;
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halfedge_descriptor result_halfedge = boost::graph_traits<PolygonMesh>::null_halfedge();
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FT result_len = 0;
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BOOST_FOREACH(halfedge_descriptor h, halfedges(pmesh)){
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if(visited.find(h)== visited.end()){
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if(is_border(h,pmesh)){
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FT len = 0;
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BOOST_FOREACH(halfedge_descriptor haf, halfedges_around_face(h, pmesh)){
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len += edge_length(haf, pmesh, np);
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visited.insert(haf);
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}
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if(result_len < len){
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result_len = len;
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result_halfedge = h;
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}
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}
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}
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}
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return std::make_pair(result_halfedge, result_len);
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}
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template<typename PolygonMesh>
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std::pair<typename boost::graph_traits<PolygonMesh>::halfedge_descriptor,
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typename CGAL::Kernel_traits<typename property_map_value<PolygonMesh,
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CGAL::vertex_point_t>::type>::Kernel::FT>
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longest_border(const PolygonMesh& pmesh)
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{
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return longest_border(pmesh,
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CGAL::Polygon_mesh_processing::parameters::all_default());
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}
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/**
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* \ingroup measure_grp
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* computes the area of a face of a given
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* triangulated surface mesh.
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*
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* @tparam TriangleMesh a model of `HalfedgeGraph`
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* @tparam NamedParameters a sequence of \ref pmp_namedparameters "Named Parameters"
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*
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* @param f the face of which the area is computed
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* @param tmesh the triangulated surface mesh to which `f` belongs
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* @param np optional sequence of \ref pmp_namedparameters "Named Parameters" among the ones listed below
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*
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* \cgalNamedParamsBegin
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* \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
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* If this parameter is omitted, an internal property map for
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* `CGAL::vertex_point_t` must be available in `TriangleMesh`\cgalParamEnd
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* \cgalParamBegin{geom_traits} an instance of a geometric traits class, model of `Kernel`\cgalParamEnd
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* \cgalNamedParamsEnd
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*
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* @pre `f != boost::graph_traits<TriangleMesh>::%null_face()`
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*
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* @return the area of `f`.
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* The return type `FT` is a number type. It is
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* either deduced from the `geom_traits` \ref pmp_namedparameters "Named Parameters" if provided,
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* or the geometric traits class deduced from the point property map
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* of `tmesh`.
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*
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* @sa `area()`
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*/
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template<typename TriangleMesh,
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typename CGAL_PMP_NP_TEMPLATE_PARAMETERS>
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#ifdef DOXYGEN_RUNNING
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FT
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#else
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typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type::FT
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#endif
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face_area(typename boost::graph_traits<TriangleMesh>::face_descriptor f
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, const TriangleMesh& tmesh
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, const CGAL_PMP_NP_CLASS& np)
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{
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using boost::choose_param;
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using boost::get_param;
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CGAL_precondition(boost::graph_traits<TriangleMesh>::null_face() != f);
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typename GetVertexPointMap<TriangleMesh, CGAL_PMP_NP_CLASS>::const_type
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vpm = choose_param(get_param(np, internal_np::vertex_point),
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get_const_property_map(CGAL::vertex_point, tmesh));
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typedef typename boost::graph_traits<TriangleMesh>::halfedge_descriptor halfedge_descriptor;
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halfedge_descriptor hd = halfedge(f, tmesh);
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halfedge_descriptor nhd = next(hd, tmesh);
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typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type traits;
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return approximate_sqrt(
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traits.compute_squared_area_3_object()(get(vpm, source(hd, tmesh)),
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get(vpm, target(hd, tmesh)),
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get(vpm, target(nhd, tmesh))));
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}
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template<typename TriangleMesh>
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typename CGAL::Kernel_traits<typename property_map_value<TriangleMesh,
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CGAL::vertex_point_t>::type>::Kernel::FT
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face_area(typename boost::graph_traits<TriangleMesh>::face_descriptor f
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, const TriangleMesh& tmesh)
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{
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return face_area(f, tmesh,
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CGAL::Polygon_mesh_processing::parameters::all_default());
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}
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/**
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* \ingroup measure_grp
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* computes the area of a range of faces of a given
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* triangulated surface mesh.
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*
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* @tparam FaceRange range of `boost::graph_traits<PolygonMesh>::%face_descriptor`,
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model of `Range`.
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Its iterator type is `InputIterator`.
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* @tparam TriangleMesh a model of `HalfedgeGraph`
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* @tparam NamedParameters a sequence of \ref pmp_namedparameters "Named Parameters"
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*
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* @param face_range the range of faces of which the area is computed
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* @param tmesh the triangulated surface mesh to which the faces of `face_range` belong
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* @param np optional sequence of \ref pmp_namedparameters "Named Parameters" among the ones listed below
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*
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* \cgalNamedParamsBegin
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* \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
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* If this parameter is omitted, an internal property map for
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* `CGAL::vertex_point_t` must be available in `TriangleMesh`\cgalParamEnd
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* \cgalParamBegin{geom_traits} an instance of a geometric traits class, model of `Kernel` \cgalParamEnd
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* \cgalNamedParamsEnd
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*
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* @return sum of face areas of `faces`.
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* The return type `FT` is a number type. It is
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* either deduced from the `geom_traits` \ref pmp_namedparameters "Named Parameters" if provided,
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* or the geometric traits class deduced from the point property map
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* of `tmesh`.
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*
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* \warning This function involves a square root computation.
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* If `Kernel::FT` does not have a `sqrt()` operation, the square root computation
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* will be done approximately.
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*
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* @sa `face_area()`
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*/
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template<typename FaceRange,
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typename TriangleMesh,
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typename CGAL_PMP_NP_TEMPLATE_PARAMETERS>
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#ifdef DOXYGEN_RUNNING
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FT
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#else
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typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type::FT
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#endif
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area(FaceRange face_range
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, const TriangleMesh& tmesh
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, const CGAL_PMP_NP_CLASS& np)
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{
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typedef typename boost::graph_traits<TriangleMesh>::face_descriptor face_descriptor;
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typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type::FT result = 0.;
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BOOST_FOREACH(face_descriptor f, face_range)
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{
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result += face_area(f, tmesh, np);
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exact(result);
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}
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return result;
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}
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template<typename FaceRange, typename TriangleMesh>
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typename GetGeomTraits<TriangleMesh>::type::FT
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area(FaceRange face_range, const TriangleMesh& tmesh)
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{
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return area(face_range, tmesh,
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CGAL::Polygon_mesh_processing::parameters::all_default());
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}
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/**
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* \ingroup measure_grp
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* computes the surface area of a triangulated surface mesh.
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*
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* @tparam TriangleMesh a model of `HalfedgeGraph`
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* @tparam NamedParameters a sequence of \ref pmp_namedparameters "Named Parameters"
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*
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* @param tmesh the triangulated surface mesh
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* @param np optional sequence of \ref pmp_namedparameters "Named Parameters" among the ones listed below
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*
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* \cgalNamedParamsBegin
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* \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
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* If this parameter is omitted, an internal property map for
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* `CGAL::vertex_point_t` must be available in `TriangleMesh`\cgalParamEnd
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* \cgalParamBegin{geom_traits}an instance of a geometric traits class, model of `Kernel`\cgalParamEnd
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* \cgalNamedParamsEnd
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*
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* @return the surface area of `tmesh`.
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* The return type `FT` is a number type. It is
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* either deduced from the `geom_traits` \ref pmp_namedparameters "Named Parameters" if provided,
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* or the geometric traits class deduced from the point property map
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* of `tmesh`.
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*
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* \warning This function involves a square root computation.
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* If `Kernel::FT` does not have a `sqrt()` operation, the square root computation
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* will be done approximately.
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*
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* @sa `face_area()`
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*/
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template<typename TriangleMesh
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, typename CGAL_PMP_NP_TEMPLATE_PARAMETERS>
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#ifdef DOXYGEN_RUNNING
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FT
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#else
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typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type::FT
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#endif
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area(const TriangleMesh& tmesh, const CGAL_PMP_NP_CLASS& np)
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{
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return area(faces(tmesh), tmesh, np);
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}
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template<typename TriangleMesh>
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typename CGAL::Kernel_traits<typename property_map_value<TriangleMesh,
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CGAL::vertex_point_t>::type>::Kernel::FT
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area(const TriangleMesh& tmesh)
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|
{
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return area(faces(tmesh), tmesh
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, CGAL::Polygon_mesh_processing::parameters::all_default());
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}
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|
|
|
/**
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* \ingroup measure_grp
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* computes the volume of the domain bounded by
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* a closed triangulated surface mesh.
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*
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* @tparam TriangleMesh a model of `HalfedgeGraph`
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* @tparam NamedParameters a sequence of \ref pmp_namedparameters "Named Parameters"
|
|
*
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* @param tmesh the closed triangulated surface mesh bounding the volume
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* @param np optional sequence of \ref pmp_namedparameters "Named Parameters" among the ones listed below
|
|
*
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* @pre `tmesh` is closed
|
|
*
|
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* \cgalNamedParamsBegin
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* \cgalParamBegin{vertex_point_map} the property map with the points associated to the vertices of `pmesh`.
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* If this parameter is omitted, an internal property map for
|
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* `CGAL::vertex_point_t` must be available in `TriangleMesh`\cgalParamEnd
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* \cgalParamBegin{geom_traits} an instance of a geometric traits class, model of `Kernel`\cgalParamEnd
|
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* \cgalNamedParamsEnd
|
|
*
|
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* @return the volume bounded by `tmesh`.
|
|
* The return type `FT` is a number type. It is
|
|
* either deduced from the `geom_traits` \ref pmp_namedparameters "Named Parameters" if provided,
|
|
* or the geometric traits class deduced from the point property map
|
|
* of `tmesh`.
|
|
*/
|
|
template<typename TriangleMesh
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|
, typename CGAL_PMP_NP_TEMPLATE_PARAMETERS>
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|
#ifdef DOXYGEN_RUNNING
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|
FT
|
|
#else
|
|
typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type::FT
|
|
#endif
|
|
volume(const TriangleMesh& tmesh, const CGAL_PMP_NP_CLASS& np)
|
|
{
|
|
CGAL_assertion(is_triangle_mesh(tmesh));
|
|
CGAL_assertion(is_closed(tmesh));
|
|
|
|
using boost::choose_param;
|
|
using boost::get_param;
|
|
|
|
typename GetVertexPointMap<TriangleMesh, CGAL_PMP_NP_CLASS>::const_type
|
|
vpm = choose_param(get_param(np, internal_np::vertex_point),
|
|
get_const_property_map(CGAL::vertex_point, tmesh));
|
|
typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type::Point_3
|
|
origin(0, 0, 0);
|
|
|
|
typedef typename boost::graph_traits<TriangleMesh>::face_descriptor face_descriptor;
|
|
|
|
typename GetGeomTraits<TriangleMesh, CGAL_PMP_NP_CLASS>::type::FT volume = 0.;
|
|
typename CGAL::Kernel_traits<typename property_map_value<TriangleMesh,
|
|
CGAL::vertex_point_t>::type>::Kernel::Compute_volume_3 cv3;
|
|
|
|
BOOST_FOREACH(face_descriptor f, faces(tmesh))
|
|
{
|
|
volume += cv3(origin,
|
|
get(vpm, target(halfedge(f, tmesh), tmesh)),
|
|
get(vpm, target(next(halfedge(f, tmesh), tmesh), tmesh)),
|
|
get(vpm, target(prev(halfedge(f, tmesh), tmesh), tmesh)));
|
|
exact(volume);
|
|
}
|
|
return volume;
|
|
}
|
|
|
|
template<typename TriangleMesh>
|
|
typename CGAL::Kernel_traits<typename property_map_value<TriangleMesh,
|
|
CGAL::vertex_point_t>::type>::Kernel::FT
|
|
volume(const TriangleMesh& tmesh)
|
|
{
|
|
|
|
return volume(tmesh,
|
|
CGAL::Polygon_mesh_processing::parameters::all_default());
|
|
}
|
|
|
|
}
|
|
}
|
|
|
|
#include <CGAL/enable_warnings.h>
|
|
|
|
#endif // CGAL_POLYGON_MESH_PROCESSING_MEASURE_H
|