CGAL::Polyhedron_3< Traits >::Vertex Class Reference

#include <CGAL/Polyhedron_3.h>

Definition

A vertex optionally stores a point and a reference to an incident halfedge that points to the vertex.

Type tags indicate whether these member functions are supported. Figure figurePolyOptionalMethods depicts the relationship between a halfedge and its incident halfedges, vertices, and facets. The circulator is assignable to the Halfedge_handle. The circulator is bidirectional if the halfedge provided to the polyhedron with the Items template argument provides a member function Halfedge::prev(), otherwise it is of the forward category.

See Also

CGAL::Polyhedron_3::Halfedge

CGAL::Polyhedron_3::Facet

CGAL::Polyhedron_3<Traits>

Types
typedef unspecified_type	Halfedge
	type of incident halfedges.
typedef unspecified_type	Facet
	type of incident facets.
typedef unspecified_type	Point_3
	point type stored in vertices.
typedef unspecified_type	Vertex_handle
	handle to vertex.
typedef unspecified_type	Halfedge_handle
	handle to halfedge.
typedef unspecified_type	Facet_handle
	handle to facet.
typedef unspecified_type	Halfedge_around_vertex_circulator
	circulator of halfedges around a vertex.
typedef unspecified_type	Vertex_const_handle
typedef unspecified_type	Halfedge_const_handle
typedef unspecified_type	Facet_const_handle
typedef unspecified_type	Halfedge_around_vertex_const_circulator
typedef unspecified_type	Supports_vertex_halfedge
	\( \equiv\) CGAL::Tag_true or CGAL::Tag_false.
typedef unspecified_type	Supports_vertex_point
	\( \equiv\) CGAL::Tag_true or CGAL::Tag_false.

Creation
	Vertex ()
	default constructor.
	Vertex (const Point &p)
	vertex initialized with a point.

Operations available if Supports_vertex_point is CGAL::Tag_true
Point_3 &	point ()
const Point_3 &	point () const
	the point.

Operations available if Supports_vertex_halfedge is CGAL::Tag_true
Halfedge_handle	halfedge ()
Halfedge_const_handle	halfedge () const
	an incident halfedge that points to v.
Halfedge_around_vertex_circulator	vertex_begin ()
Halfedge_around_vertex_const_circulator	vertex_begin () const
	circulator of halfedges around the vertex (clockwise).
void	set_halfedge (Halfedge_handle h)
	sets incident halfedge to h. More...
std::size_t	vertex_degree () const
	the degree of the vertex, i.e., number of edges emanating from this vertex.
bool	is_bivalent () const
	returns true if the vertex has exactly two incident edges.
bool	is_trivalent () const
	returns true if the vertex has exactly three incident edges.

Member Function Documentation

template<typename Traits >

void CGAL::Polyhedron_3< Traits >::Vertex::set_halfedge

(

Halfedge_handle

h)

sets incident halfedge to h.

Precondition

h is incident, i.e., h->vertex() == v.