\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 5.0.3 - 3D Periodic Mesh Generation
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Periodic_3MeshDomain_3 Concept Reference
3D Periodic Mesh Generation Reference » Concepts

Definition

Refines:
MeshDomain_3

The concept Periodic_3MeshDomain_3 describes the knowledge required on the object to be discretized. The concept Periodic_3MeshDomain_3 is the concept to be used when the input domain is defined over the three-dimensional flat torus.

From a syntactic point of view, it defines almost the same requirements as the concept MeshDomain_3 and thus Periodic_3MeshDomain_3 refines MeshDomain_3: the concept Periodic_3MeshDomain_3 additionally requires an access to the user-defined canonical cube via the function bounding_box. However, the oracle must take into account the periodicity of the domain (see Section Input Domain).

The class CGAL::Labeled_mesh_domain_3<BGT> paired with a periodic labeling function is a model of this concept. It is possible to create artificially periodic functions through the class CGAL::Periodic_3_function_wrapper<Function,BGT>.

Has Models:
CGAL::Labeled_mesh_domain_3<BGT>
See also
CGAL::Labeled_mesh_domain_3<BG>
CGAL::make_periodic_3_mesh_3()
CGAL::refine_periodic_3_mesh_3()

Public Types

typedef unspecified_type Iso_cuboid_3
 The canonical cube type.
 

Public Member Functions

const Iso_cuboid_3 & bounding_box ()
 returns the user-chosen cube that is the canonical instance of the flat torus.