CGAL 6.2 - 2D and Surface Function Interpolation

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Interpolation/rn_coordinates_2.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Regular_triangulation_2.h>
#include <CGAL/regular_neighbor_coordinates_2.h>
#include <iostream>
#include <iterator>
#include <vector>
#include <utility>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef K::FT FT;
typedef CGAL::Regular_triangulation_2<K> Regular_triangulation;
typedef Regular_triangulation::Bare_point Bare_point;
typedef Regular_triangulation::Weighted_point Weighted_point;
typedef std::vector<std::pair<Weighted_point, FT> > Point_coordinate_vector;
int main()
{
Regular_triangulation rt;
for (int y=0; y<3; ++y)
for (int x=0; x<3; ++x)
rt.insert(Weighted_point(Bare_point(x, y), 0. /*weight*/));
// coordinate computation
Weighted_point wp(Bare_point(1.2, 0.7), 2.);
Point_coordinate_vector coords;
CGAL::Triple<std::back_insert_iterator<Point_coordinate_vector>, K::FT, bool> result =
CGAL::regular_neighbor_coordinates_2(rt, wp, std::back_inserter(coords));
if(!result.third)
{
std::cout << "The coordinate computation was not successful." << std::endl;
std::cout << "The point (" <<wp.point() << ") lies outside the convex hull." << std::endl;
}
K::FT norm = result.second;
std::cout << "Coordinate computation successful." << std::endl;
std::cout << "Normalization factor: " << norm << std::endl;
std::cout << "Coordinates for point: (" << wp << ") are the following: " << std::endl;
for(std::size_t i=0; i<coords.size(); ++i)
std::cout << " Point: (" << coords[i].first << ") coeff: " << coords[i].second << std::endl;
return EXIT_SUCCESS;
}
CGAL::Exact_predicates_inexact_constructions_kernel
CGAL::Regular_triangulation_2
CGAL::Regular_triangulation_2::insert
Vertex_handle insert(const Weighted_point &p, Face_handle f=Face_handle())
CGAL::Triple
CGAL::Triple::third
T3 third
CGAL::Triple::second
T2 second
CGAL::regular_neighbor_coordinates_2
CGAL::Triple< CoordinateOutputIterator, typename Rt::Geom_traits::FT, bool > regular_neighbor_coordinates_2(const Rt &rt, const typename Rt::Weighted_point &p, CoordinateOutputIterator out, OutputFunctor fct, typename Rt::Face_handle start=typename Rt::Face_handle())
Computes the regular neighbor coordinates for p with respect to the weighted points in the two-dimens...