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

CGAL 4.8 - 2D Periodic Triangulations

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2D Periodic Triangulations Reference

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## Concepts
concept | Periodic_2DelaunayTriangulationTraits_2
| The concept `Periodic_2DelaunayTriangulationTraits_2` is the first template parameter of the class `Periodic_2_Delaunay_triangulation_2`. It refines the concept `Periodic_2TriangulationTraits_2` and `DelaunayTriangulationTraits_2` from the CGAL 2D Triangulation Reference package. It redefines the geometric objects, predicates and constructions to work with point-offset pairs. In most cases the offsets will be (0,0) and the predicates from `DelaunayTriangulationTraits_2` can be used directly. For efficiency reasons we maintain for each functor the version without offsets. More...
concept | Periodic_2Offset_2
| The concept `Periodic_2Offset_2` describes a two-/dimensional integer vector with some specialized access functions and operations. More...
concept | Periodic_2TriangulationFaceBase_2
| At the base level (see Section Software Design), a face stores handles to its four vertices and to its four neighbor faces. The vertices and neighbors are indexed 0, 1 and 2. Neighbor \( i\) lies opposite to vertex \( i\). More...
concept | Periodic_2TriangulationTraits_2
| The concept `Periodic_2TriangulationTraits_2` is the first template parameter of the classes `Periodic_2_triangulation_2<Traits, Tds>`. This concept provides the types of the geometric primitives used in the triangulation and some function object types for the required predicates on those primitives. More...
concept | Periodic_2TriangulationVertexBase_2
| A refinement of the concept `TriangulationVertexBase_2` which adds an API for offset. More...