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CGAL 6.0 - Weights
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#include<CGAL/Weights/inverse_distance_weights.h>
This weight is computed as \(w = \frac{1}{d}\) with notations shown in the figure below.
Here, the distance is computed between the points p and q.
Alternative formulations are explained in Implementation.
Figure 109.1 Notation used for the inverse distance weight.
Alternative Formulations
This weight is a special case of the Shepard Weight.
| 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::inverse_distance_weight (const typename GeomTraits::Point_2 &, const typename GeomTraits::Point_2 &p, const typename GeomTraits::Point_2 &, const typename GeomTraits::Point_2 &q, const GeomTraits &traits) |
computes the inverse distance weight in 2D using the points p and q. | |
| template<typename Kernel > | |
| Kernel::FT | CGAL::Weights::inverse_distance_weight (const CGAL::Point_2< Kernel > &, const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &, const CGAL::Point_2< Kernel > &q) |
computes the inverse distance weight in 2D using the points p and q. | |
| template<typename GeomTraits > | |
| GeomTraits::FT | CGAL::Weights::inverse_distance_weight (const typename GeomTraits::Point_2 &p, const typename GeomTraits::Point_2 &q, const GeomTraits &traits) |
computes the inverse distance weight in 2D using the points p and q. | |
| template<typename Kernel > | |
| Kernel::FT | CGAL::Weights::inverse_distance_weight (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q) |
computes the inverse distance weight in 2D using the points p and q. | |
| template<typename GeomTraits > | |
| GeomTraits::FT | CGAL::Weights::inverse_distance_weight (const typename GeomTraits::Point_3 &, const typename GeomTraits::Point_3 &p, const typename GeomTraits::Point_3 &, const typename GeomTraits::Point_3 &q, const GeomTraits &traits) |
computes the inverse distance weight in 3D using the points p and q. | |
| template<typename Kernel > | |
| Kernel::FT | CGAL::Weights::inverse_distance_weight (const CGAL::Point_3< Kernel > &, const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &, const CGAL::Point_3< Kernel > &q) |
computes the inverse distance weight in 3D using the points p and q. | |
| template<typename GeomTraits > | |
| GeomTraits::FT | CGAL::Weights::inverse_distance_weight (const typename GeomTraits::Point_3 &p, const typename GeomTraits::Point_3 &q, const GeomTraits &traits) |
computes the inverse distance weight in 3D using the points p and q. | |
| template<typename Kernel > | |
| Kernel::FT | CGAL::Weights::inverse_distance_weight (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q) |
computes the inverse distance weight in 3D using the points p and q. | |
| Kernel::FT CGAL::Weights::inverse_distance_weight | ( | const CGAL::Point_2< Kernel > & | , |
| const CGAL::Point_2< Kernel > & | p, | ||
| const CGAL::Point_2< Kernel > & | , | ||
| const CGAL::Point_2< Kernel > & | q | ||
| ) |
| Kernel::FT CGAL::Weights::inverse_distance_weight | ( | const CGAL::Point_2< Kernel > & | p, |
| const CGAL::Point_2< Kernel > & | q | ||
| ) |
| Kernel::FT CGAL::Weights::inverse_distance_weight | ( | const CGAL::Point_3< Kernel > & | , |
| const CGAL::Point_3< Kernel > & | p, | ||
| const CGAL::Point_3< Kernel > & | , | ||
| const CGAL::Point_3< Kernel > & | q | ||
| ) |
| Kernel::FT CGAL::Weights::inverse_distance_weight | ( | const CGAL::Point_3< Kernel > & | p, |
| const CGAL::Point_3< Kernel > & | q | ||
| ) |
| GeomTraits::FT CGAL::Weights::inverse_distance_weight | ( | const typename GeomTraits::Point_2 & | , |
| const typename GeomTraits::Point_2 & | p, | ||
| const typename GeomTraits::Point_2 & | , | ||
| const typename GeomTraits::Point_2 & | q, | ||
| const GeomTraits & | traits | ||
| ) |
#include <CGAL/Weights/inverse_distance_weights.h>
computes the inverse distance weight in 2D using the points p and q.
| GeomTraits | a model of AnalyticWeightTraits_2 |
| GeomTraits::FT CGAL::Weights::inverse_distance_weight | ( | const typename GeomTraits::Point_2 & | p, |
| const typename GeomTraits::Point_2 & | q, | ||
| const GeomTraits & | traits | ||
| ) |
#include <CGAL/Weights/inverse_distance_weights.h>
computes the inverse distance weight in 2D using the points p and q.
| GeomTraits | a model of AnalyticWeightTraits_2 |
| GeomTraits::FT CGAL::Weights::inverse_distance_weight | ( | const typename GeomTraits::Point_3 & | , |
| const typename GeomTraits::Point_3 & | p, | ||
| const typename GeomTraits::Point_3 & | , | ||
| const typename GeomTraits::Point_3 & | q, | ||
| const GeomTraits & | traits | ||
| ) |
#include <CGAL/Weights/inverse_distance_weights.h>
computes the inverse distance weight in 3D using the points p and q.
| GeomTraits | a model of AnalyticWeightTraits_3 |
| GeomTraits::FT CGAL::Weights::inverse_distance_weight | ( | const typename GeomTraits::Point_3 & | p, |
| const typename GeomTraits::Point_3 & | q, | ||
| const GeomTraits & | traits | ||
| ) |
#include <CGAL/Weights/inverse_distance_weights.h>
computes the inverse distance weight in 3D using the points p and q.
| GeomTraits | a model of AnalyticWeightTraits_3 |