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More precisely, the first template parameter SurfaceMeshC2T3 of the surface mesher make_surface_mesh is a model of the concept SurfaceMeshComplex_2InTriangulation_3 which describes a data structure to store a pure two dimensional complex embedded in a three dimensional triangulation. In particular, the type SurfaceMeshC2T3 is required to provide a three dimensional triangulation type SurfaceMeshC2T3::Triangulation_3. The concept SurfaceMeshCellBase_3 describes the cell base type required in this triangulation type.
The concept SurfaceMeshCellBase_3 adds four markers to mark the facets of the triangulation that belong to the two dimensional complex, and four markers that are helpers used in some operations to mark for instance the facets that have been visited.
This concept also provides storage for the center of a Delaunay surface ball. Given a surface and a 3D Delaunay triangulation, a Delaunay surface ball is a ball circumscribed to a facet of the triangulation and centered on the surface and empty of triangulation vertices. Such a ball does exist when the facet is part of the restriction to the surface of a three dimensional triangulation. In the following we call surface center of a facet, the center of its biggest Delaunay surface ball.
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The point type, required to match the point type
of the three dimensional
triangulation in which the surface mesh is embedded.
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| returns true, if facet(i) is in the 2D complex. | ||
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| Sets facet(i) as part of the 2D complex, if b is true, and NOT_IN_COMPLEX, otherwise. | ||
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| Returns true, if facet(i) has been visited, false otherwise. | ||
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| Marks facet(i) as visited, if b is true, and non visited otherwise. | ||
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| Returns a const reference to the surface center of facet(i). | ||
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| Sets point p as the surface center of facet(i). | ||
Surface_mesh_cell_base_3<Gt,Vb>
SurfaceMeshTriangulation_3
SurfaceMeshComplex_2InTriangulation_3
Surface_mesh_complex_2_in_triangulation_3<Tr>
make_surface_mesh