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CGAL 5.0.1 - Polygon Mesh Processing
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CGAL 5.0.1 - Polygon Mesh Processing
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Functions to compute lengths of edges and borders, areas of faces and patches, as well as volumes of closed meshes.
Functions | |
| template<typename PolygonMesh , typename NamedParameters > | |
| FT | CGAL::Polygon_mesh_processing::edge_length (typename boost::graph_traits< PolygonMesh >::halfedge_descriptor h, const PolygonMesh &pmesh, const NamedParameters &np) |
| computes the length of an edge of a given polygon mesh. More... | |
| template<typename PolygonMesh , typename NamedParameters > | |
| FT | CGAL::Polygon_mesh_processing::face_border_length (typename boost::graph_traits< PolygonMesh >::halfedge_descriptor h, const PolygonMesh &pmesh, const NamedParameters &np) |
| computes the length of the border polyline that contains a given halfedge. More... | |
| template<typename PolygonMesh , typename NamedParameters > | |
| std::pair< halfedge_descriptor, FT > | CGAL::Polygon_mesh_processing::longest_border (const PolygonMesh &pmesh, const NamedParameters &np) |
| finds the longest border of a given triangulated surface and returns a halfedge that is part of this border and the length of this border. More... | |
| template<typename TriangleMesh , typename NamedParameters > | |
| FT | CGAL::Polygon_mesh_processing::face_area (typename boost::graph_traits< TriangleMesh >::face_descriptor f, const TriangleMesh &tmesh, const NamedParameters &np) |
| computes the area of a face of a given triangulated surface mesh. More... | |
| template<typename FaceRange , typename TriangleMesh , typename NamedParameters > | |
| FT | CGAL::Polygon_mesh_processing::area (FaceRange face_range, const TriangleMesh &tmesh, const NamedParameters &np) |
| computes the area of a range of faces of a given triangulated surface mesh. More... | |
| template<typename TriangleMesh , typename NamedParameters > | |
| FT | CGAL::Polygon_mesh_processing::area (const TriangleMesh &tmesh, const NamedParameters &np) |
| computes the surface area of a triangulated surface mesh. More... | |
| template<typename TriangleMesh , typename NamedParameters > | |
| FT | CGAL::Polygon_mesh_processing::volume (const TriangleMesh &tmesh, const NamedParameters &np) |
| computes the volume of the domain bounded by a closed triangulated surface mesh. More... | |
| template<typename TriangleMesh , typename NamedParameters > | |
| FT | CGAL::Polygon_mesh_processing::face_aspect_ratio (typename boost::graph_traits< TriangleMesh >::face_descriptor f, const TriangleMesh &tmesh, const NamedParameters &np) |
| computes the aspect ratio of a face of a given triangulated surface mesh. More... | |
| template<typename TriangleMesh , typename NamedParameters > | |
| Point_3 | CGAL::Polygon_mesh_processing::centroid (const TriangleMesh &tmesh, const NamedParameters &np) |
| computes the centroid of a volume bounded by a closed triangulated surface mesh. More... | |
| FT CGAL::Polygon_mesh_processing::area | ( | FaceRange | face_range, |
| const TriangleMesh & | tmesh, | ||
| const NamedParameters & | np | ||
| ) |
#include <CGAL/Polygon_mesh_processing/measure.h>
computes the area of a range of faces of a given triangulated surface mesh.
| FaceRange | range of boost::graph_traits<PolygonMesh>::face_descriptor, model of Range. Its iterator type is InputIterator. |
| TriangleMesh | a model of HalfedgeGraph |
| NamedParameters | a sequence of Named Parameters |
| face_range | the range of faces of which the area is computed |
| tmesh | the triangulated surface mesh to which the faces of face_range belong |
| np | optional sequence of Named Parameters among the ones listed below |
| vertex_point_map | the property map with the points associated to the vertices of pmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in TriangleMesh |
| geom_traits | an instance of a geometric traits class, model of Kernel |
faces. The return type FT is a number type. It is either deduced from the geom_traits Named Parameters if provided, or the geometric traits class deduced from the point property map of tmesh.Kernel::FT does not have a sqrt() operation, the square root computation will be done approximately.face_area() | FT CGAL::Polygon_mesh_processing::area | ( | const TriangleMesh & | tmesh, |
| const NamedParameters & | np | ||
| ) |
#include <CGAL/Polygon_mesh_processing/measure.h>
computes the surface area of a triangulated surface mesh.
| TriangleMesh | a model of HalfedgeGraph |
| NamedParameters | a sequence of Named Parameters |
| tmesh | the triangulated surface mesh |
| np | optional sequence of Named Parameters among the ones listed below |
| vertex_point_map | the property map with the points associated to the vertices of pmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in TriangleMesh |
| geom_traits | an instance of a geometric traits class, model of Kernel |
tmesh. The return type FT is a number type. It is either deduced from the geom_traits Named Parameters if provided, or the geometric traits class deduced from the point property map of tmesh.Kernel::FT does not have a sqrt() operation, the square root computation will be done approximately.face_area() | Point_3 CGAL::Polygon_mesh_processing::centroid | ( | const TriangleMesh & | tmesh, |
| const NamedParameters & | np | ||
| ) |
#include <CGAL/Polygon_mesh_processing/measure.h>
computes the centroid of a volume bounded by a closed triangulated surface mesh.
| TriangleMesh | a model of FaceListGraph |
| NamedParameters | a sequence of Named Parameters |
| tmesh | the closed triangulated surface mesh bounding the volume |
| np | optional sequence of Named Parameters among the ones listed below |
tmesh is closed| vertex_point_map | the property map with the points associated to the vertices of pmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in TriangleMesh |
| geom_traits | an instance of a geometric traits class, model of Kernel |
tmesh. | FT CGAL::Polygon_mesh_processing::edge_length | ( | typename boost::graph_traits< PolygonMesh >::halfedge_descriptor | h, |
| const PolygonMesh & | pmesh, | ||
| const NamedParameters & | np | ||
| ) |
#include <CGAL/Polygon_mesh_processing/measure.h>
computes the length of an edge of a given polygon mesh.
The edge is given by one of its halfedges, or the edge itself.
| PolygonMesh | a model of HalfedgeGraph |
| NamedParameters | a sequence of Named Parameters |
| h | one halfedge of the edge to compute the length |
| pmesh | the polygon mesh to which h belongs |
| np | optional sequence of Named Parameters among the ones listed below |
| vertex_point_map | the property map with the points associated to the vertices of pmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in PolygonMesh |
| geom_traits | an instance of a geometric traits class, model of Kernel |
h. The return type FT is a number type. It is either deduced from the geom_traits Named Parameters if provided, or the geometric traits class deduced from the point property map of pmesh.FT does not have a sqrt() operation, the square root computation will be done approximately.face_border_length() | FT CGAL::Polygon_mesh_processing::face_area | ( | typename boost::graph_traits< TriangleMesh >::face_descriptor | f, |
| const TriangleMesh & | tmesh, | ||
| const NamedParameters & | np | ||
| ) |
#include <CGAL/Polygon_mesh_processing/measure.h>
computes the area of a face of a given triangulated surface mesh.
| TriangleMesh | a model of HalfedgeGraph |
| NamedParameters | a sequence of Named Parameters |
| f | the face of which the area is computed |
| tmesh | the triangulated surface mesh to which f belongs |
| np | optional sequence of Named Parameters among the ones listed below |
| vertex_point_map | the property map with the points associated to the vertices of pmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in TriangleMesh |
| geom_traits | an instance of a geometric traits class, model of Kernel |
f != boost::graph_traits<TriangleMesh>::null_face()f. The return type FT is a number type. It is either deduced from the geom_traits Named Parameters if provided, or the geometric traits class deduced from the point property map of tmesh.area() | FT CGAL::Polygon_mesh_processing::face_aspect_ratio | ( | typename boost::graph_traits< TriangleMesh >::face_descriptor | f, |
| const TriangleMesh & | tmesh, | ||
| const NamedParameters & | np | ||
| ) |
#include <CGAL/Polygon_mesh_processing/measure.h>
computes the aspect ratio of a face of a given triangulated surface mesh.
| TriangleMesh | a model of HalfedgeGraph |
| NamedParameters | a sequence of Named Parameters |
| f | the face of which the aspect ratio is computed |
| tmesh | the triangulated surface mesh to which f belongs |
| np | optional sequence of Named Parameters among the ones listed below |
| vertex_point_map | the property map with the points associated to the vertices of pmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in TriangleMesh |
| geom_traits | an instance of a geometric traits class, model of Kernel |
f != boost::graph_traits<TriangleMesh>::null_face()f. The return type FT is a number type. It is either deduced from the geom_traits Named Parameters if provided, or the geometric traits class deduced from the point property map of tmesh. | FT CGAL::Polygon_mesh_processing::face_border_length | ( | typename boost::graph_traits< PolygonMesh >::halfedge_descriptor | h, |
| const PolygonMesh & | pmesh, | ||
| const NamedParameters & | np | ||
| ) |
#include <CGAL/Polygon_mesh_processing/measure.h>
computes the length of the border polyline that contains a given halfedge.
| PolygonMesh | a model of HalfedgeGraph |
| NamedParameters | a sequence of Named Parameters |
| h | a halfedge of the border polyline of which the length is computed |
| pmesh | the polygon mesh to which h belongs |
| np | optional sequence of Named Parameters among the ones listed below |
| vertex_point_map | the property map with the points associated to the vertices of pmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in PolygonMesh |
| geom_traits | an instance of a geometric traits class, model of Kernel |
face(h, pmesh). The return type FT is a number type. It is either deduced from the geom_traits Named Parameters if provided, or the geometric traits class deduced from the point property map of pmesh.Kernel::FT does not have a sqrt() operation, the square root computation will be done approximately.edge_length() | std::pair<halfedge_descriptor, FT> CGAL::Polygon_mesh_processing::longest_border | ( | const PolygonMesh & | pmesh, |
| const NamedParameters & | np | ||
| ) |
#include <CGAL/Polygon_mesh_processing/measure.h>
finds the longest border of a given triangulated surface and returns a halfedge that is part of this border and the length of this border.
| PolygonMesh | a model of HalfedgeGraph |
| NamedParameters | a sequence of Named Parameters |
| pmesh | the polygon mesh |
| np | optional sequence of Named Parameters among the ones listed below |
| vertex_point_map | the property map with the points associated to the vertices of pmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in PolygonMesh |
| geom_traits | an instance of a geometric traits class, model of Kernel |
first: a halfedge on the longest border. The return type halfedge_descriptor is a halfedge descriptor. It is deduced from the graph traits corresponding to the type PolygonMesh.second: the length of the longest border The return type FT is a number type. It is either deduced from the geom_traits Named Parameters if provided, or the geometric traits class deduced from the point property map of pmesh | FT CGAL::Polygon_mesh_processing::volume | ( | const TriangleMesh & | tmesh, |
| const NamedParameters & | np | ||
| ) |
#include <CGAL/Polygon_mesh_processing/measure.h>
computes the volume of the domain bounded by a closed triangulated surface mesh.
| TriangleMesh | a model of HalfedgeGraph |
| NamedParameters | a sequence of Named Parameters |
| tmesh | the closed triangulated surface mesh bounding the volume |
| np | optional sequence of Named Parameters among the ones listed below |
tmesh is closed| vertex_point_map | the property map with the points associated to the vertices of pmesh. If this parameter is omitted, an internal property map for CGAL::vertex_point_t must be available in TriangleMesh |
| geom_traits | an instance of a geometric traits class, model of Kernel |
tmesh. The return type FT is a number type. It is either deduced from the geom_traits Named Parameters if provided, or the geometric traits class deduced from the point property map of tmesh. 
1.8.13