CGAL 6.0 - Weights
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#include<CGAL/Weights/shepard_weights.h>
This weight is computed as \(w = \frac{1}{d^a}\) with notations shown in the figure below and \(a\) any real number being the power parameter.
Here, the distance is computed between the points p
and q
.
Specializations
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::shepard_weight (const typename GeomTraits::Point_2 &, const typename GeomTraits::Point_2 &p, const typename GeomTraits::Point_2 &, const typename GeomTraits::Point_2 &q, const typename GeomTraits::FT a, const GeomTraits &traits) |
computes the Shepard weight in 2D using the points p and q and the power parameter a . | |
template<typename Kernel > | |
Kernel::FT | CGAL::Weights::shepard_weight (const CGAL::Point_2< Kernel > &, const CGAL::Point_2< Kernel > &p^, const CGAL::Point_2< Kernel > &, const CGAL::Point_2< Kernel > &q, const typename Kernel::FT a={1}) |
computes the Shepard weight in 2D using the points p and q , and the power parameter a | |
template<typename GeomTraits > | |
GeomTraits::FT | CGAL::Weights::shepard_weight (const typename GeomTraits::Point_2 &p, const typename GeomTraits::Point_2 &q, const typename GeomTraits::FT a, const GeomTraits &traits) |
computes the Shepard weight in 2D using the points p and q and the power parameter a . | |
template<typename Kernel > | |
Kernel::FT | CGAL::Weights::shepard_weight (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const typename Kernel::FT a={1}) |
computes the Shepard weight in 2D using the points p and q , and the power parameter a . | |
template<typename GeomTraits > | |
GeomTraits::FT | CGAL::Weights::shepard_weight (const typename GeomTraits::Point_3 &, const typename GeomTraits::Point_3 &p, const typename GeomTraits::Point_3 &, const typename GeomTraits::Point_3 &q, const typename GeomTraits::FT a, const GeomTraits &traits) |
computes the Shepard weight in 3D using the points p and q and the power parameter a . | |
template<typename Kernel > | |
Kernel::FT | CGAL::Weights::shepard_weight (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &, const typename Kernel::FT a={1}) |
computes the Shepard weight in 3D using the points p and q , and the power parameter a . | |
template<typename GeomTraits > | |
GeomTraits::FT | CGAL::Weights::shepard_weight (const typename GeomTraits::Point_3 &p, const typename GeomTraits::Point_3 &q, const typename GeomTraits::FT a, const GeomTraits &traits) |
computes the Shepard weight in 3D using the points p and q and the power parameter a . | |
template<typename Kernel > | |
Kernel::FT | CGAL::Weights::shepard_weight (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const typename Kernel::FT a={1}) |
computes the Shepard weight in 3D using the points p and q , and the power parameter a . | |
Kernel::FT CGAL::Weights::shepard_weight | ( | const CGAL::Point_2< Kernel > & | , |
const CGAL::Point_2< Kernel > &p^ | , | ||
const CGAL::Point_2< Kernel > & | , | ||
const CGAL::Point_2< Kernel > & | q, | ||
const typename Kernel::FT | a = {1} |
||
) |
Kernel::FT CGAL::Weights::shepard_weight | ( | const CGAL::Point_2< Kernel > & | p, |
const CGAL::Point_2< Kernel > & | q, | ||
const typename Kernel::FT | a = {1} |
||
) |
Kernel::FT CGAL::Weights::shepard_weight | ( | const CGAL::Point_3< Kernel > & | p, |
const CGAL::Point_3< Kernel > & | , | ||
const CGAL::Point_3< Kernel > & | q, | ||
const CGAL::Point_3< Kernel > & | , | ||
const typename Kernel::FT | a = {1} |
||
) |
Kernel::FT CGAL::Weights::shepard_weight | ( | const CGAL::Point_3< Kernel > & | p, |
const CGAL::Point_3< Kernel > & | q, | ||
const typename Kernel::FT | a = {1} |
||
) |
GeomTraits::FT CGAL::Weights::shepard_weight | ( | const typename GeomTraits::Point_2 & | , |
const typename GeomTraits::Point_2 & | p, | ||
const typename GeomTraits::Point_2 & | , | ||
const typename GeomTraits::Point_2 & | q, | ||
const typename GeomTraits::FT | a, | ||
const GeomTraits & | traits | ||
) |
#include <CGAL/Weights/shepard_weights.h>
computes the Shepard weight in 2D using the points p
and q
and the power parameter a
.
GeomTraits | a model of AnalyticWeightTraits_2 |
GeomTraits::FT CGAL::Weights::shepard_weight | ( | const typename GeomTraits::Point_2 & | p, |
const typename GeomTraits::Point_2 & | q, | ||
const typename GeomTraits::FT | a, | ||
const GeomTraits & | traits | ||
) |
#include <CGAL/Weights/shepard_weights.h>
computes the Shepard weight in 2D using the points p
and q
and the power parameter a
.
GeomTraits | a model of AnalyticWeightTraits_2 |
GeomTraits::FT CGAL::Weights::shepard_weight | ( | const typename GeomTraits::Point_3 & | , |
const typename GeomTraits::Point_3 & | p, | ||
const typename GeomTraits::Point_3 & | , | ||
const typename GeomTraits::Point_3 & | q, | ||
const typename GeomTraits::FT | a, | ||
const GeomTraits & | traits | ||
) |
#include <CGAL/Weights/shepard_weights.h>
computes the Shepard weight in 3D using the points p
and q
and the power parameter a
.
GeomTraits | a model of AnalyticWeightTraits_3 |
GeomTraits::FT CGAL::Weights::shepard_weight | ( | const typename GeomTraits::Point_3 & | p, |
const typename GeomTraits::Point_3 & | q, | ||
const typename GeomTraits::FT | a, | ||
const GeomTraits & | traits | ||
) |
#include <CGAL/Weights/shepard_weights.h>
computes the Shepard weight in 3D using the points p
and q
and the power parameter a
.
GeomTraits | a model of AnalyticWeightTraits_3 |