\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.13 - 3D Mesh Generation
Classes
Main Concepts
3D Mesh Generation Reference

The main concepts of this package.

Concepts

conceptMeshCellCriteria_3
 The Delaunay refinement process involved in the template functions make_mesh_3() and refine_mesh_3() is guided by a set of elementary refinement criteria that concern either mesh tetrahedra or surface facets. The concept MeshCellCriteria_3 describes the types that handle the refinement criteria for mesh tetrahedra. More...
 
conceptMeshComplex_3InTriangulation_3
 The concept MeshComplex_3InTriangulation_3 describes a data structure to represent and maintain a 3D complex embedded in a 3D triangulation. More precisely, the concept MeshComplex_3InTriangulation_3 is a minimal version designed to represent 3D complexes that have only faces with dimension \( 2\) and \( 3\). Embedded 3D complexes with faces of dimension \( 0\), \( 1\), \( 2\) and \( 3\), are more conveniently represented by the refined concept MeshComplexWithFeatures_3InTriangulation_3. More...
 
conceptMeshComplexWithFeatures_3InTriangulation_3
 The concept MeshComplexWithFeatures_3InTriangulation_3 describes a data structure to represent and maintain a 3D complex embedded in a 3D triangulation. The concept MeshComplexWithFeatures_3InTriangulation_3 refines the minimal concept MeshComplex_3InTriangulation_3, designed to represent 3D complexes having only faces with dimension 2 and 3. Therefore, the concept MeshComplexWithFeatures_3InTriangulation_3 may represent embedded complexes including features, i.e. faces with dimension \( 0\) and \( 1\). More...
 
conceptMeshCriteria_3
 The Delaunay refinement process involved in the template functions make_mesh_3() and refine_mesh_3() is guided by a set of elementary refinement criteria that concern either mesh tetrahedra or surface facets. The refinement criteria for tetrahedra are described through the concept MeshCellCriteria_3 while the refinement criteria for surface facets are described by the concept MeshFacetCriteria_3. The concept MeshCriteria_3 encapsulates these concepts. More...
 
conceptMeshCriteriaWithFeatures_3
 The concept MeshCriteriaWithFeatures_3 refines the concept MeshCriteria_3. The concept MeshCriteria_3 encapsulates the concepts MeshCellCriteria_3 and MeshFacetCriteria_3 describing the refinement criteria for, respectively, mesh cells and surface facets. For domains with features, the concept MeshCriteriaWithFeatures_3 additionnally encapsulates the concept MeshEdgeCriteria_3, that describes the requirements, in terms of sizing, for the discretization of the domain \( 1\)-dimensional features. More...
 
conceptMeshDomain_3
 The concept MeshDomain_3 describes the knowledge required on the object to be discretized. The concept MeshDomain_3 is the concept to be used when the input domain does not have \( 0\) or \( 1\)-dimensional features that need to be accurately approximated by the mesh. In such a case, the queries issued by the meshing process concern only the faces of the input domain with dimension \( 3\) and \( 2\), that are respectively called subdomains and surface patches. More...
 
conceptMeshDomainWithFeatures_3
 The concept MeshDomainWithFeatures_3 refines the concept MeshDomain_3. While the concept MeshDomain_3 only exposes the 2-dimensional and 3-dimensional features of the domain through different queries, the concept MeshDomainWithFeatures_3 also exposes 0 and 1-dimensional features. The exposed features of the domain are respectively called subdomains, surface patches, curves and corners according to their respective dimensions 3, 2, 1, and 0. More...
 
conceptMeshEdgeCriteria_3
 The function object concept MeshEdgeCriteria_3 is designed to drive the process which samples the 1-dimensional features of the domain. It provides an upper bound for the distance between two protecting ball centers that are consecutive on a 1-feature. More...
 
conceptMeshFacetCriteria_3
 The Delaunay refinement process involved in the template functions make_mesh_3() and refine_mesh_3() is guided by a set of elementary refinement criteria that concern either mesh tetrahedra or surface facets. The concept MeshFacetCriteria_3 describes the types that handle the refinement criteria for surface facets. More...
 
conceptMeshTriangulationTraits_3
 The concept MeshTriangulationTraits_3 describes the requirements for the geometric traits class of the underlying regular triangulation used during a mesh generation process. More...