CGAL Namespace Reference

Namespaces
	Euler
	EulerImpl
	internal

Classes
class	halfedge_graph_traits< Polyhedron_3< Traits > >
class	HalfedgeDS_face_max_base_with_id
	The class HalfedgeDS_face_max_base_with_id is a model of the HalfedgeDSFace concept. More...
class	HalfedgeDS_halfedge_max_base_with_id
	The class HalfedgeDS_halfedge_max_base_with_id is a model of the HalfedgeDSHalfedge concept. More...
class	HalfedgeDS_vertex_max_base_with_id
	The class HalfedgeDS_vertex_max_base_with_id is a model of the HalfedgeDSVertex concept. More...
class	Polyhedron_items_with_id_3
	The class Polyhedron_items_with_id_3 is a model of the PolyhedronItems_3 concept. More...
class	Triangulation_vertex_base_with_id_2
	The class Triangulation_vertex_base_with_id_2 is a model of the concept TriangulationVertexBase_2, the base vertex of a 2D-triangulation. More...
class	Halfedge_around_source_iterator
	A bidirectional iterator with value type boost::graph_traits<Graph>::halfedge_descriptor over all halfedges having the same vertex as source. More...
class	Halfedge_around_target_iterator
	A bidirectional iterator with value type boost::graph_traits<Graph>::halfedge_descriptor over all halfedges having the same vertex as target. More...
class	Halfedge_around_face_iterator
	A bidirectional iterator with value type boost::graph_traits<Graph>::halfedge_descriptor over all halfedges incident to the same face. More...
class	Halfedge_around_target_circulator
	A bidirectional circulator with value type boost::graph_traits<Graph>::halfedge_descriptor over all halfedges having the same vertex as target. More...
class	Halfedge_around_source_circulator
	A bidirectional circulator with value type boost::graph_traits<Graph>::halfedge_descriptor over all halfedges having the same vertex as source. More...
class	Face_around_target_circulator
	A bidirectional circulator with value type boost::graph_traits<Graph>::face_descriptor over all faces incident to the same vertex. More...
class	Halfedge_around_face_circulator
	A bidirectional circulator with value type boost::graph_traits<Graph>::halfedge_descriptor over all halfedges incident to the same face. More...
class	Face_around_face_iterator
class	Face_around_face_circulator
	A bidirectional circulator with value type boost::graph_traits<Graph>::face_descriptor over all faces adjacent to the same face. More...
class	Face_around_target_iterator
class	Vertex_around_face_circulator
class	Vertex_around_face_iterator
class	Vertex_around_target_circulator
	A bidirectional circulator with value type boost::graph_traits<Graph>::vertex_descriptor over all vertices adjacent to the same vertex. More...
class	Vertex_around_target_iterator
class	Out_edge_iterator
class	In_edge_iterator

Enumerations
enum	vertex_is_border_t { vertex_is_border }
	The constant vertex_is_border is a property tag which refers to the property of a vertex of being a border vertex. More...
enum	vertex_point_t { vertex_point }
	The constant vertex_point is a property tag which refers to the geometric embedding property of a vertex of a HalfedgeGraph. More...

Functions
template<typename Graph >
std::pair < Halfedge_around_source_iterator < Graph > , Halfedge_around_source_iterator < Graph > >	halfedges_around_source (typename boost::graph_traits< Graph >::halfedge_descriptor h, Graph &g)
	returns an iterator range over all halfedges with vertex source(h,g) as source.
template<typename Graph >
std::pair < Halfedge_around_source_iterator < Graph > , Halfedge_around_source_iterator < Graph > >	halfedges_around_source (typename boost::graph_traits< Graph >::vertex_descriptor v, Graph &g)
	returns an iterator range over all halfedges with vertex v as source.
template<typename Graph >
std::pair < Halfedge_around_target_iterator < Graph > , Halfedge_around_target_iterator < Graph > >	halfedges_around_target (typename boost::graph_traits< Graph >::halfedge_descriptor h, const Graph &g)
	returns an iterator range over all halfedges with vertex target(h,g) as target.
template<typename Graph >
std::pair < Halfedge_around_target_iterator < Graph > , Halfedge_around_target_iterator < Graph > >	halfedges_around_target (typename boost::graph_traits< Graph >::vertex_descriptor v, Graph &g)
	returns an iterator range over all halfedges with vertex v as target.
template<typename Graph >
std::pair < Halfedge_around_face_iterator < Graph > , Halfedge_around_face_iterator < Graph > >	halfedges_around_face (typename boost::graph_traits< Graph >::halfedge_descriptor h, const Graph &g)
	returns an iterator range over all halfedges incident to the same face as h.
template<typename Graph >
std::pair < Face_around_target_iterator < Graph > , Face_around_target_iterator < Graph > >	faces_around_target (typename boost::graph_traits< Graph >::halfedge_descriptor h, const Graph &g)
	returns an iterator range over all faces around vertex target(h,g).
template<typename Graph >
std::pair < Face_around_face_iterator < Graph > , Face_around_face_iterator < Graph > >	faces_around_face (typename boost::graph_traits< Graph >::halfedge_descriptor h, const Graph &g)
	returns an iterator range over all faces adjacent to the same face face(h,g).
template<typename Graph >
std::pair < Vertex_around_target_iterator < Graph > , Vertex_around_target_iterator < Graph > >	adjacent_vertices (typename boost::graph_traits< Graph >::halfedge_descriptor h, const Graph &g)
template<typename Graph >
std::pair < Vertex_around_target_iterator < Graph > , Vertex_around_target_iterator < Graph > >	adjacent_vertices (typename boost::graph_traits< Graph >::vertex_descriptor v, const Graph &g)
template<typename Graph >
std::pair < Vertex_around_target_iterator < Graph > , Vertex_around_target_iterator < Graph > >	vertices_around_target (typename boost::graph_traits< Graph >::halfedge_descriptor h, const Graph &g)
	returns an iterator range over all vertices adjacent to the vertex target(h,g).
template<typename Graph >
std::pair < Vertex_around_target_iterator < Graph > , Vertex_around_target_iterator < Graph > >	vertices_around_target (typename boost::graph_traits< Graph >::vertex_descriptor v, const Graph &g)
template<typename Graph >
std::pair < Vertex_around_face_iterator < Graph > , Vertex_around_face_iterator < Graph > >	vertices_around_face (typename boost::graph_traits< Graph >::halfedge_descriptor h, const Graph &g)
	returns an iterator range over all vertices adjacent to the face face(h,g).
template<typename HalfedgeGraph , typename PositionMap , typename NormalMap >
void	calculate_face_normals (const HalfedgeGraph &g, PositionMap pm, NormalMap nm)
template<typename HalfedgeGraph , typename Position , typename Normal , typename Boundary >
void	calculate_vertex_normals (const HalfedgeGraph &g, Position position_map, Normal normal_map, Boundary boundary_map)
template<typename HalfedgeGraph >
Kernel_traits< typename boost::property_traits < typename boost::property_map < HalfedgeGraph, CGAL::vertex_point_t > ::const_type >::value_type > ::Kernel::Triangle_3	triangle (const HalfedgeGraph &g, typename boost::graph_traits< HalfedgeGraph >::halfedge_descriptor h)
	Convenience function that calls triangle() with the property map obtained by get(CGAL::vertex_point, g). More...
template<typename HalfedgeGraph , typename PositionMap >
Kernel_traits< typename boost::property_traits < PositionMap >::value_type > ::Kernel::Triangle_3	triangle (const HalfedgeGraph &g, typename boost::graph_traits< HalfedgeGraph >::halfedge_descriptor h, const PositionMap &pm)
	triangle() returns a Triangle_3 constructed from the positions of the vertex_descriptors around the face incident to h in counter-clockwise direction. More...

Enumeration Type Documentation

enum CGAL::vertex_is_border_t

The constant vertex_is_border is a property tag which refers to the property of a vertex of being a border vertex.

vertex_is_border is an interior property, that is, a property map for vertex_is_border can be extracted from any model of a HalfedgeGraph using the Bgl PropertyGraph interface: boost::get(vertex_is_border,graph)

The Boolean flag that indicates if the vertex is a border can be directly accessed via: boost::get(vertex_is_border,graph,edge)

Enumerator
vertex_is_border

enum CGAL::vertex_point_t

The constant vertex_point is a property tag which refers to the geometric embedding property of a vertex of a HalfedgeGraph.

A vertex_point is an interior property, that is, a property map for a vertex_point can be extracted from any model of a HalfedgeGraph using the Bgl PropertyGraph interface: boost::get(vertex_point,graph)

A point of a vertex can be directly accessed via:

• boost::get(vertex_point,graph,vertex)
• boost::put(vertex_point,graph,vertex,newpoint)

Enumerator
vertex_point

Function Documentation

template<typename HalfedgeGraph >

Kernel_traits< typename boost::property_traits< typename boost::property_map< HalfedgeGraph, CGAL::vertex_point_t>::const_type >::value_type >::Kernel::Triangle_3 CGAL::triangle	(	const HalfedgeGraph &	g,
		typename boost::graph_traits< HalfedgeGraph >::halfedge_descriptor	h
	)

Convenience function that calls triangle() with the property map obtained by get(CGAL::vertex_point, g).

template<typename HalfedgeGraph , typename PositionMap >

Kernel_traits<typename boost::property_traits<PositionMap>::value_type>::Kernel::Triangle_3 CGAL::triangle	(	const HalfedgeGraph &	g,
		typename boost::graph_traits< HalfedgeGraph >::halfedge_descriptor	h,
		const PositionMap &	pm
	)

triangle() returns a Triangle_3 constructed from the positions of the vertex_descriptors around the face incident to h in counter-clockwise direction.

The Kernel of the returned Triangle_3 is the same as the Kernel of the value_type of the.

Precondition

The face incident to h is triangular.

Template Parameters

PositionMap	must be a model of ReadablePropertyMap. Its value_type must be a model of Kernel::Point_3
HalfedgeGraph	must be a model of HalfedgeGraph.

Parameters

g	The graph
h	The halfedge
pm	The map used to find the vertices of the triangle.