CGAL 5.5.1  dD Triangulations

#include <CGAL/Triangulation_data_structure.h>
This class is a data structure used for storing a triangulation of dimension \( d\leq D\) (D
is the maximal dimension).
Dimensionality  can be either

TriangulationDSVertex_  stands for a class to be used as the base Vertex type in the triangulation data structure. It must be a model of the concept TriangulationDSVertex . The class template Triangulation_data_structure can be defined by specifying only the first parameter. It also accepts the tag CGAL::Default as second parameter. In both cases, TriangulationDSVertex_ defaults to CGAL::Triangulation_ds_vertex<> . 
TriangulationDSFullCell_  stands for a class to be used as the base Full_cell type in the triangulation data structure. It must be a model of the concept TriangulationDSFullCell . The class template Triangulation_data_structure accepts that no third parameter be specified. It also accepts the tag CGAL::Default as third parameter. In both cases, TriangulationDSFullCell_ defaults to CGAL::Triangulation_ds_full_cell<> . 
TriangulationDataStructure
. In addition, the class Triangulation_data_structure
provides the following types and methods.Creation  
Triangulation_data_structure (const Triangulation_data_structure &t2)  
The copy constructor. More...  
Validity check  
bool  is_valid (bool verbose=true) const 
Implements the validity checks required by the concept TriangulationDataStructure . More...  
Types  
template<typename Vb2 >  
using  Rebind_vertex = unspecified_type 
This is an advanced type. More...  
template<typename Fcb2 >  
using  Rebind_full_cell = unspecified_type 
This is an advanced type. More...  
Vertex insertion  
template<OutputIterator >  
Full_cell_handle  insert_in_tagged_hole (Vertex_handle v, Facet f, OutputIterator new_full_cells) 
This is an advanced function. More...  
using CGAL::Triangulation_data_structure< Dimensionality, TriangulationDSVertex_, TriangulationDSFullCell_ >::Rebind_full_cell = unspecified_type 
This is an advanced type.
This template class allows to get the type of a triangulation data structure that only changes the full cell type. It has to define a type Other
which is a rebound triangulation data structure with Fcb2
as full cell type.
using CGAL::Triangulation_data_structure< Dimensionality, TriangulationDSVertex_, TriangulationDSFullCell_ >::Rebind_vertex = unspecified_type 
This is an advanced type.
This template class allows to get the type of a triangulation data structure that only changes the vertex type. It has to define a type Other
which is a rebound triangulation data structure with Vb2
as vertex type.
CGAL::Triangulation_data_structure< Dimensionality, TriangulationDSVertex_, TriangulationDSFullCell_ >::Triangulation_data_structure  (  const Triangulation_data_structure< Dimensionality, TriangulationDSVertex_, TriangulationDSFullCell_ > &  t2  ) 
The copy constructor.
Creates a copy of the Triangulation_data_structure
t2
passed as argument. All vertices and full cells are duplicated.
Full_cell_handle CGAL::Triangulation_data_structure< Dimensionality, TriangulationDSVertex_, TriangulationDSFullCell_ >::insert_in_tagged_hole  (  Vertex_handle  v, 
Facet  f,  
OutputIterator  new_full_cells  
) 
This is an advanced function.
A set C
of full cells satisfying the same condition as in method Triangulation_data_structure::insert_in_hole()
is assumed to be marked. This method creates new full cells from vertex v
to the boundary of C
. The boundary is recognized by checking the mark of the full cells. This method is used by Triangulation_data_structure::insert_in_hole()
. s
TriangulationDataStructure::insert_in_hole()
bool CGAL::Triangulation_data_structure< Dimensionality, TriangulationDSVertex_, TriangulationDSFullCell_ >::is_valid  (  bool  verbose = true  )  const 
Implements the validity checks required by the concept TriangulationDataStructure
.
Note that passing all these tests does not guarantee that we have a triangulation (abstract pure simplicial complex).