#include <CGAL/Voronoi_diagram_2.h>

Definition

template<typename DG, typename AT, typename AP>
class CGAL::Voronoi_diagram_2< DG, AT, AP >::Vertex

The class Vertex is the Voronoi vertex class provided by the class Voronoi_diagram_2<DG,AT,AP> class.

Below we present its interface.

See also: CGAL::Voronoi_diagram_2<DG,AT,AP>; CGAL::Voronoi_diagram_2<DG,AT,AP>::Halfedge; CGAL::Voronoi_diagram_2<DG,AT,AP>::Face; DelaunayGraph_2

Types
typedef unspecified_type	Halfedge
	A type for the halfedges of the Voronoi diagram.

typedef unspecified_type	Face
	A type for the faces of the Voronoi diagram.

typedef unspecified_type	Vertex_handle
	Handle for the vertices of the Voronoi diagram.

typedef unspecified_type	Face_handle
	Handle for the faces of the Voronoi diagram.

typedef unspecified_type	Halfedge_handle
	Handle for the halfedges of the Voronoi diagram.

typedef unspecified_type	Point_2
	A type for the point represented by the vertex.

typedef unspecified_type	size_type
	A type for sizes.

typedef unspecified_type	Halfedge_around_vertex_circulator
	A type for a bidirectional circulator that allows to traverse all incident halfedges, i.e., all halfedges that have the vertex as their target.

typedef unspecified_type	Delaunay_graph
	A type for the Delaunay graph.

typedef Delaunay_graph::Face_handle	Delaunay_face_handle
	A type for the handle of the dual face.

typedef Delaunay_graph::Vertex_handle	Delaunay_vertex_handle
	A type for the vertex handles in the Delaunay graph.

Access Methods
Halfedge_handle	halfedge ()
	Returns an incident halfedge that has `v` as its target.

size_type	degree ()
	Returns the in-degree of the vertex, i.e. the number of halfedges that have `v` as their target.

Point_2	point ()
	Returns the point represented by the vertex.

Delaunay_face_handle	dual ()
	Returns a handle to the corresponding dual face in the Delaunay graph.

Delaunay_vertex_handle	site (unsigned int i)
	Returns a handle to the vertex in the Delaunay graph corresponding to the \( (i+1)\)-th generating site of the Voronoi vertex.

Halfedge_around_vertex_circulator	incident_halfedges ()
	Returns a bidirectional circulator that allows the traversal of the halfedges that have `v` as their target.

Predicate Methods
bool	is_incident_edge (Halfedge_handle e)
	Returns `true` if the halfedge `e` is incident to `v`.

bool	is_incident_face (Face_handle e)
	Returns `true` if the face `f` is incident to `v`.

bool	is_valid ()
	Returns `true` if the following conditions are met: the dual face is not an infinite face; all incident halfedges have the vertex as their target.

Member Typedef Documentation

template<typename DG , typename AT , typename AP >

typedef unspecified_type CGAL::Voronoi_diagram_2< DG, AT, AP >::Vertex::Delaunay_graph

A type for the Delaunay graph.

It is a model of the DelaunayGraph_2 concept.

template<typename DG , typename AT , typename AP >

typedef unspecified_type CGAL::Voronoi_diagram_2< DG, AT, AP >::Vertex::Halfedge_around_vertex_circulator

A type for a bidirectional circulator that allows to traverse all incident halfedges, i.e., all halfedges that have the vertex as their target.

The value type of the circulator is CGAL::Voronoi_diagram_2<DG,AT,AP>::Halfedge and is convertible to Halfedge_handle.

template<typename DG , typename AT , typename AP >

Halfedge_around_vertex_circulator CGAL::Voronoi_diagram_2< DG, AT, AP >::Vertex::incident_halfedges ( )

Returns a bidirectional circulator that allows the traversal of the halfedges that have v as their target.

Applying operator++ (resp. operator-) to this circulator returns the next incident halfedge in the counterclockwise (resp. clockwise) sense.

template<typename DG , typename AT , typename AP >

Delaunay_vertex_handle CGAL::Voronoi_diagram_2< DG, AT, AP >::Vertex::site ( unsigned int i )

Returns a handle to the vertex in the Delaunay graph corresponding to the \( (i+1)\)-th generating site of the Voronoi vertex.