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CGAL 4.8.1 - dD Triangulations
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TriangulationVertex Concept Reference
Concepts

Definition

The concept TriangulationVertex describes the requirements on the type used by the class 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
Triangulation_vertex<TriangulationTraits, Data, TriangulationDSVertex>
TriangulationFullCell
Triangulation<TriangulationTraits, TriangulationDataStructure>

Types

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

Creation

 TriangulationVertex (Full_cell_handle c, const Point &p)
 Constructs a vertex with incident full cell c. More...
 
 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

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 (or its refined concepts) when the TriangulationVertex is used in the class Triangulation<TriangulationTraits, TriangulationDataStructure> (or its derived classes).

Constructor & Destructor Documentation

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

Constructs a vertex with incident full cell c.

The vertex is embedded at point p.