\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.7 - 3D Triangulations
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CGAL::Delaunay_triangulation_cell_base_with_circumcenter_3< DelaunayTriangulationTraits_3, Cb > Class Template Reference
3D Triangulations 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_3is the geometric traits class.
Cbis 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. More...
 

Member Typedef Documentation

template<typename DelaunayTriangulationTraits_3 , typename Cb >
typedef DelaunayTriangulationTraits_3::Point_3 CGAL::Delaunay_triangulation_cell_base_with_circumcenter_3< DelaunayTriangulationTraits_3, Cb >::Point_3

Member Function Documentation

template<typename DelaunayTriangulationTraits_3 , typename Cb >
const Point_3& CGAL::Delaunay_triangulation_cell_base_with_circumcenter_3< DelaunayTriangulationTraits_3, Cb >::circumcenter ( const DelaunayTriangulationTraits_3 &  gt = DelaunayTriangulationTraits_3()) const

Computes the circumcenter of the tetrahedron, or retrieves it if already computed.