CGAL 5.6.3 - 3D Convex Hulls

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Convex_hull_3/extreme_indices_3.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/convex_hull_3.h>
#include <CGAL/Extreme_points_traits_adapter_3.h>
#include <CGAL/IO/read_points.h>
#include <boost/iterator/counting_iterator.hpp>
#include <vector>
#include <fstream>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef K::Point_3 Point_3;
int main(int argc, char* argv[])
{
const std::string filename = (argc>1) ? argv[1] : CGAL::data_file_path("meshes/star.off");
std::vector<Point_3> points;
if(!CGAL::IO::read_points(filename, std::back_inserter(points)))
{
std::cerr<< "Cannot open input file." <<std::endl;
return 1;
}
//This will contain the extreme vertices
std::vector<std::size_t> extreme_point_indices;
//call the function with the traits adapter for vertices
CGAL::extreme_points_3(CGAL::make_range(boost::counting_iterator<std::size_t>(0),
boost::counting_iterator<std::size_t>(points.size())),
std::back_inserter(extreme_point_indices),
CGAL::make_extreme_points_traits_adapter(CGAL::make_property_map(points)));
//print the number of extreme vertices
std::cout << "Indices of points on the convex hull are:\n";
std::copy(extreme_point_indices.begin(), extreme_point_indices.end(), std::ostream_iterator<std::size_t>(std::cout, " "));
std::cout << "\n";
return 0;
}
CGAL::Exact_predicates_inexact_constructions_kernel
CGAL::extreme_points_3
OutputIterator extreme_points_3(InputRange range, OutputIterator out, const Traits &traits)
copies in out the points on the convex hull of the points in range.
CGAL::make_extreme_points_traits_adapter
Extreme_points_traits_adapter_3< PointPropertyMap, Base_traits > make_extreme_points_traits_adapter(const PointPropertyMap &pmap, Base_traits traits)
Returns Extreme_points_traits_adapter_3<PointPropertyMap, Base_traits>(pmap, traits).