CGAL 5.1.3  3D Surface Mesh Generation

The Delaunay refinement process involved in the function template CGAL::make_surface_mesh()
is guided by a set of refinement criteria. The concept SurfaceMeshFacetsCriteria_3
describes the type which handles those criteria. It corresponds to the requirements for the template parameter FacetsCriteria
of the surface mesher function CGAL::make_surface_mesh<SurfaceMeshC2T3,Surface,FacetsCriteria,Tag>()
.
Typically the meshing criteria are a set of elementary criteria, each of which has to be met by the facets of the final mesh. The meshing algorithm eliminates in turn bad facets, i.e., facets that do not meet all the criteria.
The size and quality of the final mesh depends on the order according to which bad facets are handled. Therefore, the meshing algorithm needs to be able to quantify the facet qualities and to compare the qualities of different faces. The type SurfaceMeshFacetsCriteria_3::Quality
measures the quality of a mesh facet. Typically this quality is a multicomponent variable. Each component corresponds to one criterion and measures how much the facet deviates from meeting this criterion. Then, the comparison operator on qualities is just a lexicographical comparison. The meshing algorithm handles facets with lowest quality first. The qualities are computed by a function is_bad(const Facet& f, const Quality& q)
.
CGAL::make_surface_mesh()
Types  
typedef unspecified_type  Facet 
The type of facets. More...  
typedef unspecified_type  Quality 
Default constructible, copy constructible, assignable, and lessthan comparable type.  
Operations  
bool  is_bad (const Facet &f, const Quality &q) 
Assigns the quality of the facet f to q , and returns true is f does not meet the criteria.  
The type of facets.
This type has to match the Facet
type in the triangulation type used by the mesher function. (This triangulation type is the type SurfaceMeshC2T3::Triangulation
provided by the model of SurfaceMeshComplex_2InTriangulation_3
plugged as first template parameter of CGAL::make_surface_mesh()
).