Concepts

Concepts
concept	DelaunayTriangulationTraits
	This concept describes the geometric types and predicates required to build a Delaunay triangulation. It corresponds to the first template parameter of the class Delaunay_triangulation<DelaunayTriangulationTraits, TriangulationDataStructure>. More...
concept	FullCellData
	The concept FullCellData describes the requirements on the type which is used to mark some full cells, during modifications of the triangulation data structure. More...
concept	TriangulationDataStructure
	The TriangulationDataStructure concept describes objects responsible for storing and maintaining the combinatorial part of a \( d\)-dimensional pure simplicial complex that has the topology of the \( d\)-dimensional sphere \( \mathbb{S}^d\) with \( d\in[-2,D]\). Since the simplicial \( d\)-complex is pure, all faces are sub-faces of some \( d\)-simplex. And since it has the topology of the sphere \( \mathbb{S}^d\), it is manifold, thus any \( d-1\)-face belongs to exactly two \( d\)-dimensional full cells. More...
concept	TriangulationDataStructure::Vertex
	The concept TriangulationDataStructure::Vertex describes the type used by a TriangulationDataStructure to store the vertices. More...
concept	TriangulationDataStructure::FullCell
	The concept TriangulationDataStructure::FullCell describes the type used by a TriangulationDataStructure to store the full cells. More...
concept	TriangulationDSFace
	A TriangulationDSFace describes a face f with dimension k (a k-face) in a triangulation. It gives access to a handle to a full cell c containing the face f in its boundary, as well as the indices of the vertices of f in c. It must hold that f is a proper face of full cell c, i.e., the dimension of f is strictly less than the dimension of c. The dimension of a face is implicitely set when TriangulationDSFace::set_index is called. For example, if TriangulationDSFace::set_index is called two times to set the first two vertices (i = 0 and i = 1), then the dimension is 1. More...
concept	TriangulationDSFullCell
	The concept TriangulationDSFullCell describes the requirements for the full cell class of a CGAL::Triangulation_data_structure. It refines the concept TriangulationDataStructure::FullCell. More...
concept	TriangulationDSVertex
	The concept TriangulationDSVertex describes the requirements for the vertex base class of a CGAL::Triangulation_data_structure. It refines the concept TriangulationDataStructure::Vertex. More...
concept	TriangulationFullCell
	The concept TriangulationFullCell describes the requirements on the type used by the class Triangulation<TriangulationTraits, TriangulationDataStructure>, and its derived classes, to represent a full cell. More...
concept	TriangulationTraits
	This concept describes the geometric types and predicates required to build a triangulation. It corresponds to the first template parameter of the class Triangulation<TriangulationTraits, TriangulationDataStructure>. More...
concept	TriangulationVertex
	The concept TriangulationVertex describes the requirements on the type used by the class Triangulation<TriangulationTraits, TriangulationDataStructure>, and its derived classes, to represent a vertex. More...