CGAL 4.7 - 3D Triangulations: DelaunayTriangulationCellBase_3 Concept 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

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DelaunayTriangulationCellBase_3 Concept Reference
Concepts

## Definition

The base cell of a Delaunay triangulation has to be a model of the concept `DelaunayTriangulationCellBase_3`, which refines the concept `TriangulationCellBase_3` by adding in the cell an operator that computes its circumcenter.

Refines:
  `TriangulationCellBase_3`

Has Models:

  CGAL::Delaunay_triangulation_cell_base_3

  CGAL::Delaunay_triangulation_cell_base_with_circumcenter_3

See Also
  `DelaunayTriangulationTraits_3`

## Access functions

const DelaunayTriangulationTraits_3::Point_3 & | circumcenter (const DelaunayTriangulationTraits_3 &gt=DelaunayTriangulationTraits_3()) const
| Returns the circumcenter of the cell. More...

## Member Function Documentation

const DelaunayTriangulationTraits_3::Point_3& DelaunayTriangulationCellBase_3::circumcenter | ( | const DelaunayTriangulationTraits_3 & | gt = `DelaunayTriangulationTraits_3()`) |  | const

Returns the circumcenter of the cell.

`DelaunayTriangulationTraits_3` is the geometric traits class of the triangulation.

This operator is required only when the dual functions are called.