\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 2D and Surface Function Interpolation

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Interpolation/nn_coordinates_2.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Delaunay_triangulation_2.h>
#include <CGAL/natural_neighbor_coordinates_2.h>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Delaunay_triangulation_2<K> Delaunay_triangulation;
typedef std::vector< std::pair< K::Point_2, K::FT > >
Point_coordinate_vector;
int main()
{
Delaunay_triangulation dt;
for (int y=0 ; y<3 ; y++)
for (int x=0 ; x<3 ; x++)
dt.insert(K::Point_2(x,y));
//coordinate computation
K::Point_2 p(1.2, 0.7);
Point_coordinate_vector coords;
CGAL::Triple<
std::back_insert_iterator<Point_coordinate_vector>,
K::FT, bool> result =
CGAL::natural_neighbor_coordinates_2(dt, p,
std::back_inserter(coords));
if(!result.third){
std::cout << "The coordinate computation was not successful."
<< std::endl;
std::cout << "The point (" <<p << ") 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 << "done" << std::endl;
return 0;
}