\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.11.3 - 3D Convex Hulls
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Convex_hull_3/quickhull_3.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Polyhedron_3.h>
#include <CGAL/Surface_mesh.h>
#include <CGAL/convex_hull_3.h>
#include <vector>
#include <fstream>
typedef CGAL::Polyhedron_3<K> Polyhedron_3;
typedef K::Point_3 Point_3;
typedef CGAL::Surface_mesh<Point_3> Surface_mesh;
int main(int argc, char* argv[])
{
std::ifstream in( (argc>1)? argv[1] : "data/cube.xyz");
std::vector<Point_3> points;
Point_3 p;
while(in >> p){
points.push_back(p);
}
// define polyhedron to hold convex hull
Polyhedron_3 poly;
// compute convex hull of non-collinear points
CGAL::convex_hull_3(points.begin(), points.end(), poly);
std::cout << "The convex hull contains " << poly.size_of_vertices() << " vertices" << std::endl;
Surface_mesh sm;
CGAL::convex_hull_3(points.begin(), points.end(), sm);
std::cout << "The convex hull contains " << num_vertices(sm) << " vertices" << std::endl;
return 0;
}