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

CGAL 4.8 - 3D Triangulations

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CGAL::Regular_triangulation_cell_base_3< RegularTriangulationTraits_3, Cb > Class Template Reference
Vertex and Cell Classes

`#include <CGAL/Regular_triangulation_cell_base_3.h>`

## Inherits from

Cb.

## Definition

The class `Regular_triangulation_cell_base_with_weighted_circumcenter_3` derives from `Cb`, a cell base class of a 3D triangulation.

It is the default cell base class of regular triangulations.

Template Parameters

  RegularTriangulationTraits_3 | is the geometric traits class.
  Cb | is a cell base class from which `Regular_triangulation_cell_base_3` derives. It must be a model of `TriangulationCellBase_3`. By default, this parameter is instantiated by `Triangulation_cell_base_3<RegularTriangulationTraits_3>`.

Is Model Of:
  `RegularTriangulationCellBase_3`

See Also
  `RegularTriangulationCellBase_3`
  `CGAL::Regular_triangulation_3`
  `CGAL::Regular_triangulation_cell_base_with_weighted_circumcenter_3`

Examples:
  Triangulation_3/parallel_insertion_and_removal_in_regular_3.cpp.

## Types
typedef RegularTriangulationTraits_3::Bare_point | Bare_point

## Access function
As a model of the concept `RegularTriangulationCellBase_3`, `Regular_triangulation_cell_base_3` provides a `weighted_circumcenter()` member fonction. In this model, the `weighted_circumcenter()` member fonction returns the weighted circumcenter of the cell, computed by the `ConstructWeightedCircumcenter` constructor of the traits class. Note that this point has no weight.
const Bare_point & | weighted_circumcenter (const RegularTriangulationTraits_3 &gt=RegularTriangulationTraits_3()) const
| Returns the weighted circumcenter of the cell. More...

## Member Function Documentation

template<typename RegularTriangulationTraits_3 , typename Cb >

const Bare_point& CGAL::Regular_triangulation_cell_base_3< RegularTriangulationTraits_3, Cb >::weighted_circumcenter | ( | const RegularTriangulationTraits_3 & | gt = `RegularTriangulationTraits_3()`) |  | const

Returns the weighted circumcenter of the cell.

Be careful that the return type is `RegularTriangulationTraits_3::Bare_point`, and the radius of the weighted circumcenter is not supposed to be computed by the constructor `Construct_weighted_circumcenter_3` of the traits class, so the returned point has no weight.