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

CGAL 4.8 - 3D Triangulations

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CGAL::Triangulation_cell_base_with_circumcenter_3< TriangulationTraits_3, Cb > Class Template Reference
Vertex and Cell Classes

`#include <CGAL/Triangulation_cell_base_with_circumcenter_3.h>`

## Inherits from

Cb.

## Definition

Deprecated:
  This class is deprecated since CGAL 4.4. The class `Delaunay_triangulation_cell_base_with_circumcenter_3` should be used instead. `Regular_triangulation_cell_base_with_weighted_circumcenter_3` and `Triangulation_cell_base_with_info_3` can also be used in other frameworks.

The class `Triangulation_cell_base_with_circumcenter_3` derives from `Cb`, a cell base class of a 3D triangulation. It provides an easy way to cache the computation of the circumcenters 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

  TriangulationTraits_3 | is the geometric traits class.
  Cb | is a cell base class from which `Triangulation_cell_base_with_circumcenter_3` derives. Cb should be a model of `TriangulationCellBase_3` or `DelaunayTriangulationCellBase_3`. 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`

## Types
typedef TriangulationTraits_3::Point_3 | Point_3

## Access Functions
const Point_3 & | circumcenter (const TriangulationTraits_3 &gt=TriangulationTraits_3()) const
| Computes the circumcenter of the tetrahedron, or retrieves it if already computed.