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

CGAL 4.8 - 3D Fast Intersection and Distance Computation (AABB Tree)

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AABB_tree/AABB_segment_3_example.cpp
// Author : Pierre Alliez
#include <iostream>
#include <list>
#include <CGAL/Simple_cartesian.h>
#include <CGAL/AABB_tree.h>
#include <CGAL/AABB_traits.h>
#include <CGAL/AABB_segment_primitive.h>
typedef CGAL::Simple_cartesian<double> K;
typedef K::FT FT;
typedef K::Point_3 Point;
typedef K::Plane_3 Plane;
typedef K::Segment_3 Segment;
typedef K::Triangle_3 Triangle;
typedef std::list<Segment>::iterator Iterator;
typedef CGAL::AABB_segment_primitive<K, Iterator> Primitive;
typedef CGAL::AABB_traits<K, Primitive> Traits;
typedef CGAL::AABB_tree<Traits> Tree;
int main()
{
Point a(1.0, 0.0, 0.0);
Point b(0.0, 1.0, 0.0);
Point c(0.0, 0.0, 1.0);
Point d(0.0, 0.0, 0.0);
std::list<Segment> segments;
segments.push_back(Segment(a,b));
segments.push_back(Segment(a,c));
segments.push_back(Segment(c,d));
// constructs the AABB tree and the internal search tree for
// efficient distance computations.
Tree tree(segments.begin(),segments.end());
tree.accelerate_distance_queries();
// counts #intersections with a plane query
Plane plane_query(a,b,d);
std::cout << tree.number_of_intersected_primitives(plane_query)
<< " intersections(s) with plane" << std::endl;
// counts #intersections with a triangle query
Triangle triangle_query(a,b,c);
std::cout << tree.number_of_intersected_primitives(triangle_query)
<< " intersections(s) with triangle" << std::endl;
// computes the closest point from a point query
Point point_query(2.0, 2.0, 2.0);
Point closest = tree.closest_point(point_query);
std::cerr << "closest point is: " << closest << std::endl;
return EXIT_SUCCESS;
}