CGAL 4.7 - 3D Periodic Triangulations: Concepts

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

CGAL 4.7 - 3D Periodic Triangulations

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3D Periodic Triangulations Reference

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## Concepts

concept | Periodic_3DelaunayTriangulationTraits_3

The concept `Periodic_3DelaunayTriangulationTraits_3` is the first template parameter of the classes `Periodic_3_Delaunay_triangulation_3`. It refines the concept `DelaunayTriangulationTraits_3` from the CGAL 3D Triangulations. It redefines the geometric objects, predicates and constructions to work with point-offset pairs. In most cases the offsets will be (0,0,0) and the predicates from `DelaunayTriangulationTraits_3` can be used directly. For efficiency reasons we maintain for each functor the version without offsets. More...

concept | Periodic_3Offset_3
| The concept `Periodic_3Offset_3` describes a three-dimensional integer vector with some specialized access functions and operations. More...
concept | Periodic_3TriangulationDSCellBase_3
| A refinement of the concept `TriangulationDSCellBase_3` which adds an API for offsets. More...
concept | Periodic_3TriangulationDSVertexBase_3
| A refinement of the concept `TriangulationDSVertexBase_3` which adds an API for offset. More...
concept | Periodic_3TriangulationTraits_3

The concept `Periodic_3TriangulationTraits_3` is the first template parameter of the class `Periodic_3_triangulation_3`. It refines the concept `TriangulationTraits_3` from the CGAL 3D Triangulations. It redefines the geometric objects, predicates and constructions to work with point-offset pairs. In most cases the offsets will be (0,0,0) and the predicates from `TriangulationTraits_3` can be used directly. For efficiency reasons we maintain for each functor the version without offsets. More...