\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5.1 - 3D Triangulations
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3D Triangulations Reference

Concepts

conceptDelaunayTriangulationCellBase_3
 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. More...
 
conceptDelaunayTriangulationTraits_3
 The concept DelaunayTriangulationTraits_3 is the first template parameter of the class Delaunay_triangulation_3. It defines the geometric objects (points, segments...) forming the triangulation together with a few geometric predicates and constructions on these objects. More...
 
conceptRegularTriangulationCellBase_3
 The regular triangulation of a set of weighted points does not necessarily have one vertex for each of the input points. Some of the input weighted points have no cell in the dual power diagrams and therefore do not correspond to a vertex of the regular triangulation. Those weighted points are said to be hidden points. A point which is hidden at a given time may appear later as a vertex of the regular triangulation upon removal on some other weighted point. Therefore, hidden points have to be stored somewhere. The regular triangulation stores those hidden points in its cells. More...
 
conceptRegularTriangulationTraits_3
 The concept RegularTriangulationTraits_3 is the first template parameter of the class Regular_triangulation_3. It defines the geometric objects (points, segments...) forming the triangulation together with a few geometric predicates and constructions on these objects. More...
 
conceptTriangulationCellBase_3
 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. More...
 
conceptTriangulationCellBaseWithInfo_3
 A type model of this concept can be used as cell base by a triangulation and provides an additional information storage. More...
 
conceptTriangulationTraits_3
 The concept TriangulationTraits_3 is the first template parameter of the class Triangulation_3. It defines the geometric objects (points, segments, triangles and tetrahedra) forming the triangulation together with a few geometric predicates and constructions on these objects : lexicographical comparison, orientation in case of coplanar points and orientation in space. More...
 
conceptTriangulationVertexBase_3
 The vertex base used by the geometric triangulation must store a point. So we list here the additional requirements compared to a vertex base usable for the triangulation data structure. More...
 
conceptTriangulationVertexBaseWithInfo_3
 A type model of this concept can be used as vertex base by a triangulation and provides an additional information storage. More...
 
conceptWeightedPoint