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

CGAL 4.3 - 3D Triangulations

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CGAL::Triangulation_cell_base_with_circumcenter_3< DelaunayTriangulationTraits_3, TriangulationCellBase_3 > Class Template Reference
Vertex and Cell Classes

`#include <CGAL/Triangulation_cell_base_with_circumcenter_3.h>`

## Inherits from

TriangulationCellBase_3.

## Definition

The class `Triangulation_cell_base_with_circumcenter_3` is a model of the concept `TriangulationCellBase_3`, the base cell of a 3D-triangulation.

It provides an easy way to cache the computation of the circumcenter of tetrahedra. Note that input/output operators discard this additional information.

All functions modifying the vertices of the cell, invalidate the cached circumcenter.

Template Parameters

  DelaunayTriangulationTraits_3 | is the geometric traits class.
  TriangulationCellBase_3 | is a cell base class from which `Triangulation_cell_base_with_circumcenter_3` derives. It has the default value `Triangulation_cell_base_3<DelaunayTriangulationTraits_3>`.

Is Model Of:
  `TriangulationCellBase_3`

See Also
  `CGAL::Triangulation_cell_base_3`
  `CGAL::Triangulation_cell_base_with_info_3`

## Access Functions
const DelaunayTriangulationTraits_3::Point_3 & | circumcenter (const DelaunayTriangulationTraits_3 &gt=DelaunayTriangulationTraits_3()) const
| Computes the circumcenter of the tetrahedron, or retrieve it if already computed.

## Additional Inherited Members
Public Member Functions inherited from TriangulationCellBase_3
const DelaunayTriangulationTraits_3::Point_3 & | circumcenter (const DelaunayTriangulationTraits_3 &gt=DelaunayTriangulationTraits_3()) const
| Returns the circumcenter.