CGAL 5.2 - 3D Convex Hulls
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Surface_mesh.h>
#include <CGAL/Extreme_points_traits_adapter_3.h>
#include <CGAL/convex_hull_3.h>
#include <vector>
#include <fstream>
typedef K::Point_3 Point_3;
int main(int argc, char* argv[])
std::ifstream in( (argc>1)? argv[1] : "data/");
Mesh sm;
if(! in || !(in >> sm) || !sm.is_valid()){
std::cerr<<"Not a valid off file."<<std::endl;
//This will contain the extreme vertices
std::vector<Mesh::Vertex_index> extreme_vertices;
//call the function with the traits adapter for vertices
CGAL::extreme_points_3(vertices(sm), std::back_inserter(extreme_vertices),
//print the number of extreme vertices
std::cout << "There are " << extreme_vertices.size() << " extreme vertices in this mesh." << std::endl;
return 0;