\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.3 - 3D Triangulations
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TriangulationCellBase_3 Concept Reference
Concepts

Inherited by CGAL::Triangulation_cell_base_with_circumcenter_3< DelaunayTriangulationTraits_3, TriangulationCellBase_3 >, and CGAL::Triangulation_cell_base_with_info_3< Info, TriangulationTraits_3, TriangulationCellBase_3 >.

Definition

The cell base required by the basic triangulation does not need to store any geometric information, so only the requirements of the triangulation data structure apply.

However, for the Delaunay triangulation, the ability to store the circumcenter is provided (for optimization reasons), hence an additional requirement only in this case, and only when the dual functions are called.

Refines:
TriangulationDSCellBase_3
Has Models:

CGAL::Triangulation_cell_base_3

CGAL::Triangulation_cell_base_with_info_3

CGAL::Triangulation_cell_base_with_circumcenter_3

See Also
TriangulationVertexBase_3

Public Member Functions

const
DelaunayTriangulationTraits_3::Point_3 & 		circumcenter (const DelaunayTriangulationTraits_3 &gt=DelaunayTriangulationTraits_3()) const
 Returns the circumcenter.