CGAL 6.1.1 - dD Triangulations

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TriangulationVertex Concept Reference
Reference Manual » Concepts

## 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`.