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CGAL 6.0 - Weights
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#include<CGAL/Weights/voronoi_region_weights.h>
This weight is the area of the shaded region in the figure below. The region is formed by the two midpoints of the edges incident to q and the circumcenter of the triangle [p, q, r].
Figure 109.1 Notation used for the Voronoi cell.
| GeomTraits | a model of AnalyticWeightTraits_2 for 2D points; a model of AnalyticWeightTraits_3 for 3D points |
Functions | |
| template<typename GeomTraits > | |
| GeomTraits::FT | CGAL::Weights::voronoi_area (const typename GeomTraits::Point_2 &p, const typename GeomTraits::Point_2 &q, const typename GeomTraits::Point_2 &r, const GeomTraits &traits) |
computes the area of the Voronoi cell in 2D using the points p, q, and r. | |
| template<typename Kernel > | |
| Kernel::FT | CGAL::Weights::voronoi_area (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r) |
computes the area of the Voronoi cell in 2D using the points p, q, and r. | |
| template<typename GeomTraits > | |
| GeomTraits::FT | CGAL::Weights::voronoi_area (const typename GeomTraits::Point_3 &p, const typename GeomTraits::Point_3 &q, const typename GeomTraits::Point_3 &r, const GeomTraits &traits) |
computes the area of the Voronoi cell in 3D using the points p, q, and r | |
| template<typename Kernel > | |
| Kernel::FT | CGAL::Weights::voronoi_area (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r) |
computes the area of the Voronoi cell in 3D using the points p, q, and r. | |
| Kernel::FT CGAL::Weights::voronoi_area | ( | const CGAL::Point_2< Kernel > & | p, |
| const CGAL::Point_2< Kernel > & | q, | ||
| const CGAL::Point_2< Kernel > & | r | ||
| ) |
| Kernel::FT CGAL::Weights::voronoi_area | ( | const CGAL::Point_3< Kernel > & | p, |
| const CGAL::Point_3< Kernel > & | q, | ||
| const CGAL::Point_3< Kernel > & | r | ||
| ) |
| GeomTraits::FT CGAL::Weights::voronoi_area | ( | const typename GeomTraits::Point_2 & | p, |
| const typename GeomTraits::Point_2 & | q, | ||
| const typename GeomTraits::Point_2 & | r, | ||
| const GeomTraits & | traits | ||
| ) |
#include <CGAL/Weights/voronoi_region_weights.h>
computes the area of the Voronoi cell in 2D using the points p, q, and r.
| GeomTraits | a model of AnalyticWeightTraits_2 |
| GeomTraits::FT CGAL::Weights::voronoi_area | ( | const typename GeomTraits::Point_3 & | p, |
| const typename GeomTraits::Point_3 & | q, | ||
| const typename GeomTraits::Point_3 & | r, | ||
| const GeomTraits & | traits | ||
| ) |
#include <CGAL/Weights/voronoi_region_weights.h>
computes the area of the Voronoi cell in 3D using the points p, q, and r
| GeomTraits | a model of AnalyticWeightTraits_3. |