CGAL 5.4  Weights

#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.
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 , given a traits class traits with geometric objects, predicates, and constructions.  
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 , given a traits class traits with geometric objects, predicates, and constructions.  
template<typename K >  
K::FT  CGAL::Weights::inverse_distance_weight (const CGAL::Point_2< K > &, const CGAL::Point_2< K > &p, const CGAL::Point_2< K > &, const CGAL::Point_2< K > &q) 
computes the inverse distance weight in 2D using the points p and q , which are parameterized by a Kernel K.  
template<typename K >  
K::FT  CGAL::Weights::inverse_distance_weight (const CGAL::Point_3< K > &, const CGAL::Point_3< K > &p, const CGAL::Point_3< K > &, const CGAL::Point_3< K > &q) 
computes the inverse distance weight in 3D using the points p and q , which are parameterized by a Kernel K.  
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 , given a traits class traits with geometric objects, predicates, and constructions.  
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 , given a traits class traits with geometric objects, predicates, and constructions.  
template<typename K >  
K::FT  CGAL::Weights::inverse_distance_weight (const CGAL::Point_2< K > &p, const CGAL::Point_2< K > &q) 
computes the inverse distance weight in 2D using the points p and q , which are parameterized by a Kernel K.  
template<typename K >  
K::FT  CGAL::Weights::inverse_distance_weight (const CGAL::Point_3< K > &p, const CGAL::Point_3< K > &q) 
computes the inverse distance weight in 3D using the points p and q , which are parameterized by a Kernel K.  