CGAL 6.0 - Weights
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#include<CGAL/Weights/three_point_family_weights.h>
This weight is computed as \(w = \frac{d_2^a A_0 - d^a B + d_0^a A_2}{A_0 A_2}\) with notations shown in the figure below and \(a\) any real number being the power parameter.
Here, q
is a query point and the points p0
, p1
, and p2
are its neighbors.
This weight supports only planar configurations (see more in section about Coplanarity) while alternative formulations are explained in Implementation.
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::three_point_family_weight (const typename GeomTraits::Point_2 &p0, const typename GeomTraits::Point_2 &p1, const typename GeomTraits::Point_2 &p2, const typename GeomTraits::Point_2 &q, const typename GeomTraits::FT a, const GeomTraits &traits) |
computes the three-point family weight in 2D at q using the points p0 , p1 and p2 , and the power parameter a . | |
template<typename Kernel > | |
Kernel::FT | CGAL::Weights::three_point_family_weight (const CGAL::Point_2< Kernel > &p0, const CGAL::Point_2< Kernel > &p1, const CGAL::Point_2< Kernel > &p2, const CGAL::Point_2< Kernel > &q, const typename Kernel::FT a={1}) |
computes the three-point family weight in 2D at q using the points p0 , p1 and p2 , and the power parameter a . | |
Kernel::FT CGAL::Weights::three_point_family_weight | ( | const CGAL::Point_2< Kernel > & | p0, |
const CGAL::Point_2< Kernel > & | p1, | ||
const CGAL::Point_2< Kernel > & | p2, | ||
const CGAL::Point_2< Kernel > & | q, | ||
const typename Kernel::FT | a = {1} |
||
) |
GeomTraits::FT CGAL::Weights::three_point_family_weight | ( | const typename GeomTraits::Point_2 & | p0, |
const typename GeomTraits::Point_2 & | p1, | ||
const typename GeomTraits::Point_2 & | p2, | ||
const typename GeomTraits::Point_2 & | q, | ||
const typename GeomTraits::FT | a, | ||
const GeomTraits & | traits | ||
) |
#include <CGAL/Weights/three_point_family_weights.h>
computes the three-point family weight in 2D at q
using the points p0
, p1
and p2
, and the power parameter a
.
GeomTraits | a model of AnalyticWeightTraits_2 |