\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 2D Minkowski Sums

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Minkowski_sum_2/approx_inset.cpp
// Computing the approximated inset of a polygon.
#include <fstream>
#include <iostream>
#include <list>
#include <boost/timer.hpp>
#include <CGAL/basic.h>
#include <CGAL/approximated_offset_2.h>
#include "bops_circular.h"
typedef CGAL::Polygon_2<Kernel> Linear_polygon;
int main(int argc, char* argv[])
{
// Open the input file and read a polygon.
const char* filename = (argc > 1) ? argv[1] : "tight.dat";
std::ifstream in_file(filename);
if (! in_file.is_open()) {
std::cerr << "Failed to open the input file." << std::endl;
return -1;
}
// Read the input polygon.
Linear_polygon P;
in_file >> P;
in_file.close();
std::cout << "Read an input polygon with " << P.size() << " vertices."
<< std::endl;
// Approximate the offset polygon.
std::list<Polygon_2> inset_polygons;
boost::timer timer;
approximated_inset_2(P, 1, 0.00001, std::back_inserter(inset_polygons));
double secs = timer.elapsed();
std::list<Polygon_2>::iterator it;
std::cout << "The inset comprises " << inset_polygons.size()
<< " polygon(s)." << std::endl;
for (it = inset_polygons.begin(); it != inset_polygons.end(); ++it)
std::cout << " Polygon with " << it->size() << " vertices." << std::endl;
std::cout << "Inset computation took " << secs << " seconds." << std::endl;
return 0;
}