\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.8.1 - 3D Minkowski Sum of Polyhedra
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Minkowski_sum_3/glide.cpp
#include <CGAL/Exact_predicates_exact_constructions_kernel.h>
#include <CGAL/Nef_polyhedron_3.h>
#include <CGAL/IO/Nef_polyhedron_iostream_3.h>
#include <CGAL/minkowski_sum_3.h>
#include <iostream>
typedef CGAL::Nef_polyhedron_3<Kernel> Nef_polyhedron;
typedef Kernel::Point_3 Point_3;
typedef Point_3* point_iterator;
typedef std::pair<point_iterator,point_iterator>
point_range;
typedef std::list<point_range> polyline;
int main()
{
Nef_polyhedron N0;
std::cin >> N0;
Point_3 pl[6] =
{Point_3(-100,0,0),
Point_3(40,-70,0),
Point_3(40,50,40),
Point_3(-90,-60,60),
Point_3(0, 0, -100),
Point_3(30,0,150)
};
polyline poly;
poly.push_back(point_range(pl,pl+6));
Nef_polyhedron N1(poly.begin(), poly.end(), Nef_polyhedron::Polylines_tag());
Nef_polyhedron result = CGAL::minkowski_sum_3(N0, N1);
}