CGAL 6.0 - Weights
|
#include<CGAL/Weights/discrete_harmonic_weights.h>
This weight is computed as \(w = \frac{d_2^2 A_0 - d^2 B + d_0^2 A_2}{A_0 A_2}\) with notations shown in the figure below.
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.
Alternative Formulations
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::discrete_harmonic_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 GeomTraits &traits) |
computes the discrete harmonic weight in 2D at q using the points p0 , p1 , and p2 . | |
template<typename Kernel > | |
Kernel::FT | CGAL::Weights::discrete_harmonic_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) |
computes the discrete harmonic weight in 2D at q using the points p0 , p1 , and p2 . | |
Kernel::FT CGAL::Weights::discrete_harmonic_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 | ||
) |
GeomTraits::FT CGAL::Weights::discrete_harmonic_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 GeomTraits & | traits | ||
) |
#include <CGAL/Weights/discrete_harmonic_weights.h>
computes the discrete harmonic weight in 2D at q
using the points p0
, p1
, and p2
.
GeomTraits | a model of AnalyticWeightTraits_2 |