\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.3 - 3D Triangulations

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CGAL::Triangulation_vertex_base_3< TriangulationTraits_3, TriangulationDSVertexBase_3 > Class Template Reference
Vertex and Cell Classes

`#include <CGAL/Triangulation_vertex_base_3.h>`

## Inherits from

TriangulationDSVertexBase_3.

## Definition

The class `Triangulation_vertex_base_3` is a model of the concept `TriangulationVertexBase_3`, the base vertex of a 3D-triangulation.

This class stores a point.

This class can be used directly or can serve as a base to derive other classes with some additional attributes (a color for example) tuned for a specific application.

Template Parameters

  TriangulationTraits_3 | is the geometric traits class which provides the point type `Point_3`. Users of the geometric triangulations are strongly advised to use the same geometric traits class `TriangulationTraits_3` as the one used for `Triangulation_3`. This way, the point type defined by the base vertex is the same as the point type defined by the geometric traits class.
  TriangulationDSVertexBase_3 | is a combinatorial vertex base class from which `Triangulation_vertex_base_3` derives. It has the default value `Triangulation_ds_vertex_base_3<TDS>`.

Is Model Of:
  `TriangulationVertexBase_3`

See Also
  `CGAL::Triangulation_cell_base_3`
  `CGAL::Triangulation_ds_vertex_base_3`
  `CGAL::Triangulation_vertex_base_with_info_3`

## Types
typedef TriangulationTraits_3::Point_3 | Point

## Additional Inherited Members
Public Types inherited from TriangulationDSVertexBase_3
typedef unspecified_type | Rebind_TDS
typedef TriangulationDataStructure_3 | Triangulation_data_structure
typedef TriangulationDataStructure_3::Vertex_handle | Vertex_handle
typedef TriangulationDataStructure_3::Cell_handle | Cell_handle
Public Member Functions inherited from TriangulationDSVertexBase_3
| TriangulationVertexBase_3 ()
| TriangulationVertexBase_3 (Cell_handle c)
Cell_handle | cell () const
void | set_cell (Cell_handle c)
bool | is_valid (bool verbose=false, int level=0) const
void * | for_compact_container () const
void *& | for_compact_container ()
istream & | operator>> (istream &is, TriangulationDSVertexBase_3 &v)
ostream & | operator<< (ostream &os, const TriangulationDSVertexBase_3 &v)