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

CGAL 4.8 - 3D Mesh Generation

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CGAL::Mesh_triangulation_3< MD, Gt, Concurrency_tag, Vertex_base, Cell_base > Class Template Reference
Mesh Classes

`#include <CGAL/Mesh_triangulation_3.h>`

## Definition

The class `Mesh_triangulation_3` is a metafunctor which provides the triangulation type to be used for the 3D triangulation embedding the mesh.

Template Parameters

  MD | stands for a model of `MeshDomain_3`.
  Gt | stands for a model of `RegularTriangulationTraits_3` and defaults to `Kernel_traits<MD>::Kernel`.
  Concurrency_tag | enables sequential versus parallel meshing and optimization algorithms. Possible values are `Sequential_tag` (the default) and `Parallel_tag`.
  Vertex_base | stands for a model of `MeshVertexBase_3` and defaults to `Mesh_vertex_base_3<Gt, MD>`.
  Cell_base | stands for a model of `MeshCellBase_3` and defaults to `Compact_mesh_cell_base_3<Gt, MD>`.

See Also
  `make_mesh_3()`
  `Mesh_complex_3_in_triangulation_3<Tr,CornerIndex,CurveSegmentIndex>`

Examples:
  Mesh_3/mesh_3D_image.cpp, Mesh_3/mesh_3D_image_variable_size.cpp, Mesh_3/mesh_implicit_sphere.cpp, Mesh_3/mesh_implicit_sphere_variable_size.cpp, Mesh_3/mesh_optimization_example.cpp, Mesh_3/mesh_optimization_lloyd_example.cpp, Mesh_3/mesh_polyhedral_domain.cpp, Mesh_3/mesh_polyhedral_domain_with_features.cpp, and Mesh_3/mesh_two_implicit_spheres_with_balls.cpp.

## Types
typedef unspecified_type | type
| The triangulation type to be used for the 3D triangulation embedding the mesh. More...

## Member Typedef Documentation

template<typename MD, typename Gt, typename Concurrency_tag, typename Vertex_base, typename Cell_base>

typedef unspecified_type CGAL::Mesh_triangulation_3< MD, Gt, Concurrency_tag, Vertex_base, Cell_base >::type

The triangulation type to be used for the 3D triangulation embedding the mesh.

This type is a `Regular_triangulation_3` type whose vertex and cell base classes are respectively `Vertex_base` and `Cell_base`.