\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.13.1 - 3D Triangulations
List of all members
CGAL::Regular_triangulation_cell_base_3< Traits, Cb > Class Template Reference
3D Triangulations Reference » Vertex and Cell Classes

#include <CGAL/Regular_triangulation_cell_base_3.h>

Inherits from

Cb.

Definition

The class Regular_triangulation_cell_base_with_weighted_circumcenter_3 derives from Cb, a cell base class of a 3D triangulation.

It is the default cell base class of regular triangulations.

Template Parameters
Traitsis the geometric traits class. It must be a model of RegularTriangulationTraits_3.
Cbis a cell base class from which Regular_triangulation_cell_base_3 derives. It must be a model of TriangulationCellBase_3. By default, this parameter is instantiated by Triangulation_cell_base_3<Traits>.
Is Model Of:
RegularTriangulationCellBase_3
See also
RegularTriangulationCellBase_3
CGAL::Regular_triangulation_3
CGAL::Regular_triangulation_cell_base_with_weighted_circumcenter_3
Examples:
Triangulation_3/parallel_insertion_and_removal_in_regular_3.cpp, and Triangulation_3/regular_with_info_3.cpp.

Types

typedef Traits::Point_3 Point_3
 
typedef Traits::Weighted_point_3 Point
 
typedef std::list< Point > Point_container
 
typedef Point_container::iterator Point_iterator
 

Hidden points-related functions

Not every weighted point inserted in a regular triangulation necessarily appears in the trinagulation.

If the weight of a point is too small compared to other points, it might be hidden. These hidden vertices are stored in a unique corresponding cell (defined through v->cell()). The following functions provide set and get functionalities.

Point_iterator hidden_points_begin ()
 Returns an iterator pointing to the first hidden point.
 
Point_iterator hidden_points_end ()
 Returns a past-the-end iterator.
 
void hide_point (const Point &p)
 Adds p to the set of hidden points of the cell.
 
const Point_3 & weighted_circumcenter (const Traits &gt=Traits()) const
 Returns the weighted circumcenter of the cell. More...
 

Member Function Documentation

◆ weighted_circumcenter()

template<typename Traits , typename Cb >
const Point_3& CGAL::Regular_triangulation_cell_base_3< Traits, Cb >::weighted_circumcenter ( const Traits &  gt = Traits()) const

Returns the weighted circumcenter of the cell.

Be careful that the return type is Point_3, and the radius of the weighted circumcenter is not supposed to be computed by the constructor Construct_weighted_circumcenter_3 of the traits class, hence the returned point has no weight.