CGAL 4.12 - 2D Triangulation Data Structure
2D Triangulation Data Structure Reference
Sylvain Pion and Mariette Yvinec
This package provides a data structure to store a two-dimensional triangulation that has the topology of a two-dimensional sphere. The package acts as a container for the vertices and faces of the triangulation and provides basic combinatorial operation on the triangulation.

Introduced in: CGAL 2.2
BibTeX: cgal:py-tds2-18a

The triangulation data structure can be seen as a container for the faces and vertices of a triangulation. This class also takes care of all the combinatorial operations performed on the triangulation.

The class CGAL::Triangulation_data_structure_2<Vb,Fb> is a model of the concept TriangulationDataStructure_2. which includes the sub-concepts TriangulationDataStructure_2::Face and TriangulationDataStructure_2::Vertex.

To ensure all the flexibility of the triangulation classes, described and in Section Flexibility of Chapter 2D Triangulations, the model CGAL::Triangulation_data_structure_2<Vb,Fb> has two template parameters. The class CGAL::Triangulation_data_structure_2<Vb,Fb> derives its Vertex and Face types from the two template parameters Vb and Fb respectively.

If the triangulation data structure is used alone, these parameters have to be instantiated by models of the concepts TriangulationDSFaceBase_2 and TriangulationDSVertexBase_2. These concepts are described in this chapter together with their default models CGAL::Triangulation_ds_face_base_2<Tds> and CGAL::Triangulation_ds_vertex_base_2<Tds>.

If the triangulation data structure is plugged into a triangulation class, the parameters have to be instantiated by models of different refining concepts according to the actual type of the triangulation. These refining concepts and their models are described in Chapter 2D Triangulations.

## Concepts

• TriangulationDataStructure_2
• TriangulationDataStructure_2::Face
• TriangulationDataStructure_2::Vertex
• TriangulationDSFaceBase_2
• TriangulationDSVertexBase_2

## Classes

• CGAL::Triangulation_data_structure_2<Vb,Fb>
• CGAL::Triangulation_ds_face_base_2<Tds>
• CGAL::Triangulation_ds_vertex_base_2<Tds>
• CGAL::Triangulation_cw_ccw_2

Concepts

## Classes

class  CGAL::Triangulation_data_structure_2< Vb, Fb >
The class Triangulation_data_structure_2 is a model for the TriangulationDataStructure_2 concept. More...

class  CGAL::Triangulation_ds_face_base_2< Tds >
The class Triangulation_ds_face_base_2 is a model for the concept TriangulationDSFaceBase_2 to be used by Triangulation_data_structure_2. More...

class  CGAL::Triangulation_ds_vertex_base_2< Tds >
The class Triangulation_ds_vertex_base_2 can be used as the base vertex for a Triangulation_data_structure_2, it is a model of the concept TriangulationDSVertexBase_2. More...