CGAL 6.1.1 - 3D Convex Hulls

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Convex_hull_3/quickhull_any_dim_3.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Polyhedron_3.h>
#include <CGAL/convex_hull_3.h>
#include <vector>
#include <fstream>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Polyhedron_3<K> Polyhedron_3;
typedef K::Point_3 Point_3;
typedef K::Segment_3 Segment_3;
typedef K::Triangle_3 Triangle_3;
int main(int argc, char* argv[])
{
std::ifstream in( (argc>1)? argv[1] : CGAL::data_file_path("points_3/cube.xyz"));
std::vector<Point_3> points;
Point_3 p;
while(in >> p){
points.push_back(p);
}
CGAL::Object obj;
// compute convex hull of non-collinear points
CGAL::convex_hull_3(points.begin(), points.end(), obj);
if(const Point_3* p = CGAL::object_cast<Point_3>(&obj)){
std::cout << "Point " << *p << std::endl;
}
else if(const Segment_3* s = CGAL::object_cast<Segment_3>(&obj)){
std::cout << "Segment " << *s << std::endl;
}
else if(const Triangle_3* t = CGAL::object_cast<Triangle_3>(&obj)){
std::cout << "Triangle " << *t << std::endl;
}
else if(const Polyhedron_3* poly = CGAL::object_cast<Polyhedron_3>(&obj)){
std::cout << "Polyhedron\n " << *poly << std::endl;
std::cout << "The convex hull contains " << poly->size_of_vertices() << " vertices" << std::endl;
}
else {
std::cout << "something else"<< std::endl;
}
return 0;
}
CGAL::Exact_predicates_inexact_constructions_kernel
CGAL::Object
CGAL::Polyhedron_3
CGAL::convex_hull_3
void convex_hull_3(InputIterator first, InputIterator last, PolygonMesh &pm, const Traits &ch_traits=Default_traits)
computes the convex hull of the set of points in the range [first, last).