TriangulationVertex Concept Reference

Definition

The concept TriangulationVertex describes the requirements on the type used by the class CGAL::Triangulation<TriangulationTraits_, TriangulationDataStructure_>, and its derived classes, to represent a vertex.

Refines

TriangulationDSVertex

We only list below the additional specific requirements of TriangulationVertex. Compared to TriangulationDSVertex, the main difference is the addition of an association of the vertex with a geometric point.

Has models

CGAL::Triangulation_vertex<TriangulationTraits_, Data, TriangulationDSVertex_>

Input/Output

These operators can be used directly and are called by the I/O operator of class Triangulation.

See also

CGAL::Triangulation_vertex<TriangulationTraits_, Data, TriangulationDSVertex_>

TriangulationFullCell

CGAL::Triangulation<TriangulationTraits_, TriangulationDataStructure_>

Types
typedef unspecified_type	Point
	The type of the point stored in the vertex.

Creation
	TriangulationVertex (Full_cell_handle c, const Point &p)
	Constructs a vertex with incident full cell c.
	TriangulationVertex (const Point &p)
	Same as above, but without incident full cell.
	TriangulationVertex ()
	Same as above, but with a default-constructed Point.

Operations
void	set_point (const Point &p)
	The parameter p becomes the new geometrical position of the vertex.
const Point &	point () const
	Returns the vertex's position.
std::istream &	operator>> (std::istream &is, TriangulationVertex &v)
	Inputs the non-combinatorial information given by the vertex, i.e., the point and other possible information.
std::ostream &	operator<< (std::ostream &os, const TriangulationVertex &v)
	Outputs the non-combinatorial information given by the vertex, i.e., the point and other possible information.

Member Typedef Documentation

Point

typedef unspecified_type TriangulationVertex::Point

The type of the point stored in the vertex.

It must be the same as the point type TriangulationTraits::Point_d when the TriangulationVertex is used in the class Triangulation<TriangulationTraits, TriangulationDataStructure_>.

Constructor & Destructor Documentation

TriangulationVertex()

TriangulationVertex::TriangulationVertex	(	Full_cell_handle	c,
		const Point &	p
	)

Constructs a vertex with incident full cell c.

The vertex is embedded at point p.