\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5.2 - 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_3is the geometric traits class.
Cbis 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.