CGAL 5.0 - 3D Periodic Mesh Generation
Periodic_3MeshDomain_3 Concept Reference

## 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>
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_3bounding_box ()
returns the user-chosen cube that is the canonical instance of the flat torus.