\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5 - 3D Mesh Generation
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MeshFacetCriteria_3 Concept Reference
Main Concepts

Definition

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.

Has Models:
CGAL::Mesh_facet_criteria_3<Tr>
See Also
MeshCellCriteria_3
MeshEdgeCriteria_3
MeshCriteria_3
CGAL::make_mesh_3()
CGAL::refine_mesh_3()

Types

typedef unspecified_type Facet
 Type for the facets of the triangulation. More...
 
typedef unspecified_type Cell_handle
 Handle type for the cells of the triangulation. More...
 
typedef unspecified_type Facet_quality
 Type representing the quality of a facet. More...
 
typedef unspecified_type Is_facet_bad
 Type representing if a facet is bad or not. More...
 

Operations

Is_facet_bad operator() (Facet f)
 Returns Is_facet_bad value of facet f.
 
Is_facet_bad operator() (Cell_handle c, int i)
 Same as above with f=(c,i).
 

Member Typedef Documentation

typedef unspecified_type MeshFacetCriteria_3::Cell_handle

Handle type for the cells of the triangulation.

Must match the Cell_handle type in the triangulation type used by the mesh generation function.

typedef unspecified_type MeshFacetCriteria_3::Facet

Type for the facets of the triangulation.

Must match the Facet type in the triangulation type used by the mesh generation function.

typedef unspecified_type MeshFacetCriteria_3::Facet_quality

Type representing the quality of a facet.

Must be a model of CopyConstructible and LessThanComparable. Between two facets, the one which has the lower quality must have the lower Facet_quality.

typedef unspecified_type MeshFacetCriteria_3::Is_facet_bad

Type representing if a facet is bad or not.

This type must be convertible to bool. If it converts to true then the facet is bad, otherwise the facet is good with regard to the criteria.

In addition, an object of this type must contain an object of type Facet_quality if it represents a bad facet. Facet_quality must be accessible by operator*(). Note that boost::optional<Facet_quality> is a natural model of this concept