CGAL users discussion list

[Manuel Caroli <>]

Dear Vitaliy,

Vitaliy wrote:
> Hello CGAL members !
>
> Could you help me, how is it possible to make regular triangulation with 
> info in 3D if there is no class 
> CGAL::Regular_triangulation_vertex_base_3? (Only for Kinetic)
>
> It should be like this (in 2D case it works):
>
> typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
> typedef CGAL::Regular_triangulation_filtered_traits_3<K> Gt;
>
> typedef CGAL::Regular_triangulation_vertex_base_3<Gt> Vb;   
>
> But there is no such class (only Regular_triangulation_vertex_base_2)
The answer to your question should be immediately clear from the 
documentation:
1) Template parameters of Regular_triangulation_3:
"The second template argument must be a model of the 
TriangulationDataStructure_3 concept. It has the default value 
Triangulation_data_structure_3<Triangulation_vertex_base_3<RegularTriangulationTraits_3>, 
Regular_triangulation_cell_base_3<RegularTriangulationTraits_3> >."

This means there is no specialized vertex base class required.

If we now have a look at the documentation of 
Triangulation_vertex_base_with_info_3 we will find the following:
2a) "The class Triangulation_vertex_base_with_info_3 is a model of the 
concept TriangulationVertexBase_3, the base vertex of a 3D-triangulation."
and
2b) "The third template argument is a vertex base class from which 
Triangulation_vertex_base_with_info_3 derives. It has the default value 
Triangulation_vertex_base_3<TriangulationTraits_3>."

> So what must be third parameter in Triangulation_vertex_base_with_info_3 ?
All this to say that you can just omit the third template parameter 
making use of the default or you explicitly put 
Triangulation_vertex_base_3 or any other model of the concept 
TriangulationDSVertexBase_3.

best

Manuel

> typedef CGAL::Triangulation_vertex_base_with_info_3<int,Gt,Vb> VbI;  
> typedef CGAL::Regular_triangulation_cell_base_3<K> Cb;
> typedef CGAL::Triangulation_data_structure_3<VbI, Cb> Tds;
> typedef CGAL::Regular_triangulation_3<Gt, Tds> RegTr;
>
>
> Please tell me what should I use for.
>
> Thank you.
> Vitaliy