CGAL 5.0 - 2D and Surface Function Interpolation
Interpolation/linear_interpolation_2.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Delaunay_triangulation_2.h>
#include <CGAL/Interpolation_traits_2.h>
#include <CGAL/natural_neighbor_coordinates_2.h>
#include <CGAL/interpolation_functions.h>
typedef CGAL::Delaunay_triangulation_2<K> Delaunay_triangulation;
typedef K::FT Coord_type;
typedef K::Point_2 Point;
int main()
{
Delaunay_triangulation T;
typedef std::map<Point, Coord_type, K::Less_xy_2> Coord_map;
typedef CGAL::Data_access<Coord_map> Value_access;
Coord_map value_function;
Coord_type a(0.25), bx(1.3), by(-0.7);
for (int y=0 ; y<3 ; y++){
for (int x=0 ; x<3 ; x++){
K::Point_2 p(x,y);
T.insert(p);
value_function.insert(std::make_pair(p, a + bx*x + by*y));
}
}
//coordinate computation
K::Point_2 p(1.3, 0.34);
std::vector<std::pair<Point, Coord_type> > coords;
Coord_type norm = CGAL::natural_neighbor_coordinates_2(T, p, std::back_inserter(coords)).second;
Coord_type res = CGAL::linear_interpolation(coords.begin(), coords.end(), norm,
Value_access(value_function));
std::cout << "Tested interpolation on " << p << " interpolation: "
<< res << " exact: " << a + bx*p.x() + by*p.y() << std::endl;
return EXIT_SUCCESS;
}