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

CGAL 4.8 - 2D Range and Neighbor Search

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Point_set_2/nearest_neighbor.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Point_set_2.h>
#include <list>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Point_set_2<K>::Edge_iterator Edge_iterator;
typedef CGAL::Point_set_2<K>::Vertex_handle Vertex_handle;
typedef K::Point_2 Point_2;
CGAL::Point_set_2<K> PSet;
Point_2 ar1[5];
int main()
{
std::list<Point_2> Lr;
Point_2 p1(12,14);
Point_2 p2(-12,14);
Point_2 p3(2,11);
Point_2 p4(5,6);
Point_2 p5(6.7,3.8);
Point_2 p6(11,20);
Point_2 p7(-5,6);
Point_2 p8(12,0);
Point_2 p9(4,31);
Point_2 p10(-10,-10);
Lr.push_back(p1); Lr.push_back(p2); Lr.push_back(p3);
Lr.push_back(p4); Lr.push_back(p5); Lr.push_back(p6);
Lr.push_back(p7); Lr.push_back(p8); Lr.push_back(p9);
Lr.push_back(p10);
PSet.insert(Lr.begin(),Lr.end());
// init
ar1[0]=p4; ar1[1]=p5; ar1[2]=p3; ar1[3]=p7; ar1[4]=p8;
Point_2 actual(30,45,10);
// nearest neighbor ...
Vertex_handle v = PSet.nearest_neighbor(actual);
std::cout << "Nearest neighbor:" << v->point() << "\n";
// k nearest neighbors ...
std::list<Vertex_handle> L;
std::list<Vertex_handle>::const_iterator it;
PSet.nearest_neighbors(actual,5, std::back_inserter(L));
std::cout << "actual point: " << actual << "\n";
for (it=L.begin();it != L.end(); it++)
std::cout << (*it)->point() << "\n";
return 0;
}