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

CGAL 4.8 - dD Spatial Searching

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Spatial_searching/circular_query.cpp
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Kd_tree.h>
#include <CGAL/point_generators_2.h>
#include <CGAL/algorithm.h>
#include <CGAL/Fuzzy_sphere.h>
#include <CGAL/Search_traits_2.h>
typedef CGAL::Simple_cartesian<double> K;
typedef K::Point_2 Point_d;
typedef CGAL::Random_points_in_square_2<Point_d> Random_points_iterator;
typedef CGAL::Search_traits_2<K> Traits;
typedef CGAL::Fuzzy_sphere<Traits> Fuzzy_circle;
typedef CGAL::Kd_tree<Traits> Tree;
int main() {
const int N=1000;
Tree tree;
Random_points_iterator rpg;
for(int i = 0; i < N; i++){
tree.insert(*rpg++);
}
// define exact circular range query (fuzziness=0)
Point_d center(0.2, 0.2);
Fuzzy_circle exact_range(center, 0.2);
std::list<Point_d> result;
tree.search(std::back_inserter( result ), exact_range);
std::cout << "The points in the circle centered at (0.2,0.2) with radius 0.2 are: " << std::endl;
std::copy (result.begin(),result.end(),std::ostream_iterator<Point_d>(std::cout,"\n") );
std::cout << std::endl;
std::cout << "The points in the fuzzy circle centered at (0.2,0.2) with fuzzy radius (0.1,0.3) are: "
<< std::endl;
// approximate range searching using value 0.1 for fuzziness parameter
// We do not write into a list but directly in the outpout stream
Fuzzy_circle approximate_range(center, 0.2, 0.1);
tree.search(std::ostream_iterator<Point_d>(std::cout,"\n"), approximate_range);
return 0;
}