\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.13 - 3D Mesh Generation
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MeshCellCriteria_3 Concept Reference
3D Mesh Generation 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 MeshCellCriteria_3 describes the types that handle the refinement criteria for mesh tetrahedra.

Has Models:
CGAL::Mesh_cell_criteria_3<Tr>
See also
MeshEdgeCriteria_3
MeshFacetCriteria_3
MeshCriteria_3
CGAL::make_mesh_3()
CGAL::refine_mesh_3()

Types

typedef unspecified_type Cell_handle
 Handle type for the cells of the triangulation. More...
 
typedef unspecified_type Cell_quality
 Type representing the quality of a cell. More...
 
typedef unspecified_type Is_cell_bad
 Type representing if a cell is bad or not. More...
 

Operations

Is_cell_bad operator() (const Tr &tr, Cell_handle c)
 Returns the Is_cell_bad value of the cell c, which lives in the triangulation tr. More...
 

Member Typedef Documentation

◆ Cell_handle

typedef unspecified_type MeshCellCriteria_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.

◆ Cell_quality

typedef unspecified_type MeshCellCriteria_3::Cell_quality

Type representing the quality of a cell.

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

◆ Is_cell_bad

typedef unspecified_type MeshCellCriteria_3::Is_cell_bad

Type representing if a cell is bad or not.

Must be convertible to bool. If it converts to true then the cell is bad, otherwise the cell is good with regard to the criteria.

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

Member Function Documentation

◆ operator()()

Is_cell_bad MeshCellCriteria_3::operator() ( const Tr &  tr,
Cell_handle  c 
)

Returns the Is_cell_bad value of the cell c, which lives in the triangulation tr.

The type Tr must be identical to the triangulation type used by the mesh generation function.