\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.6.1 - 2D Minkowski Sums
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Minkowski_sum_2/approx_inset.cpp
// Computing the approximated inset of a polygon.
#include "ms_rational_nt.h"
#include <CGAL/Cartesian.h>
#include <CGAL/approximated_offset_2.h>
#include <CGAL/offset_polygon_2.h>
#include <CGAL/Timer.h>
#include <iostream>
typedef CGAL::Lazy_exact_nt<Number_type> Lazy_exact_nt;
struct Kernel : public CGAL::Cartesian<Lazy_exact_nt> {};
typedef CGAL::Polygon_2<Kernel> Polygon_2;
typedef Gps_traits_2::Polygon_2 Offset_polygon_2;
typedef Gps_traits_2::Polygon_with_holes_2 Offset_polygon_with_holes_2;
int main ()
{
// Open the input file.
std::ifstream in_file ("tight.dat");
if (! in_file.is_open())
{
std::cerr << "Failed to open the input file." << std::endl;
return (1);
}
// Read the input polygon.
Polygon_2 P;
in_file >> P;
in_file.close();
std::cout << "Read an input polygon with "
<< P.size() << " vertices." << std::endl;
// Approximate the offset polygon.
const Number_type radius = 1;
const double err_bound = 0.00001;
std::list<Offset_polygon_2> inset_polygons;
std::list<Offset_polygon_2>::iterator iit;
CGAL::Timer timer;
timer.start();
approximated_inset_2 (P, radius, err_bound,
std::back_inserter (inset_polygons));
timer.stop();
std::cout << "The inset comprises "
<< inset_polygons.size() << " polygon(s)." << std::endl;
for (iit = inset_polygons.begin(); iit != inset_polygons.end(); ++iit)
{
std::cout << " Polygon with "
<< iit->size() << " vertices." << std::endl;
}
std::cout << "Inset computation took "
<< timer.time() << " seconds." << std::endl;
return (0);
}