CGAL 4.7 - 3D Triangulations: CGAL::Delaunay_triangulation_cell_base_with_circumcenter_3< DelaunayTriangulationTraits_3, Cb > Class Template Reference

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

CGAL 4.7 - 3D Triangulations

All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
List of all members
CGAL::Delaunay_triangulation_cell_base_with_circumcenter_3< DelaunayTriangulationTraits_3, Cb > Class Template Reference
Vertex and Cell Classes

`#include <CGAL/Delaunay_triangulation_cell_base_with_circumcenter_3.h>`

## Inherits from

Cb.

## Definition

The class `Delaunay_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

  DelaunayTriangulationTraits_3 | is the geometric traits class.
  Cb | is a cell base class from which `Delaunay_triangulation_cell_base_with_circumcenter_3` derives. Cb should be a model of `DelaunayTriangulationCellBase_3`. It has the default value `Triangulation_cell_base_3<DelaunayTriangulationTraits_3>`.

Is Model Of:
  `DelaunayTriangulationCellBase_3`

See Also
  `CGAL::Triangulation_cell_base_3`
  `CGAL::Triangulation_cell_base_with_info_3`
  `CGAL::Delaunay_triangulation_cell_base_3`

## Types

typedef DelaunayTriangulationTraits_3::Point_3 | Point_3

## Access function

As a model of the concept `DelaunayTriangulationCellBase_3`, `Delaunay_triangulation_cell_base_3` provides a `circumcenter()` member fonction. If it has already been computed in the past, the cached value is returned.
const Point_3 & | circumcenter (const DelaunayTriangulationTraits_3 &gt=DelaunayTriangulationTraits_3()) const
| Computes the circumcenter of the tetrahedron, or retrieves it if already computed.