\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.6.1 - dD Triangulations
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
List of all members
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.