polygon-polygon intersections

/*Here is example to the extension of your original question you asked as a comment below Kirill's answer: Are intersections between polygons possible?

Yes, polygon-polygon intersections are supported by (http://trac.osgeo.org/ggl/)*/

#include <iostream>
#include <vector>
#include <boost/geometry/geometry.hpp>
#include <boost/geometry/geometries/cartesian2d.hpp>
#include <boost/geometry/geometries/adapted/c_array_cartesian.hpp>

using namespace boost::geometry;

int main(void)
{
    // Define a polygons and fill the outer rings.
    polygon_2d a;
    {
        const double c[][2] = {
            {160, 330}, {60, 260}, {20, 150}, {60, 40}, {190, 20}, {270, 130}, {260, 250}, {160, 330}
        };
        assign(a, c);
    }
    correct(a);
    std::cout << "A: " << dsv(a) << std::endl;

    polygon_2d b;
    {
        const double c[][3] = {
            {300, 330}, {190, 270}, {150, 170}, {150, 110}, {250, 30}, {380, 50}, {380, 250}, {300, 330}
        };
        assign(b, c);
    }
    correct(b);
    std::cout << "B: " << dsv(b) << std::endl;

    // Calculate interesection
    typedef std::vector<polygon_2d > polygon_list;
    polygon_list v;

    intersection_inserter<polygon_2d>(a, b, std::back_inserter(v));
    std::cout << "Intersection of polygons A and B" << std::endl;
    for (polygon_list::const_iterator it = v.begin(); it != v.end(); ++it)
    {
        std::cout << dsv(*it) << std::endl;
    }

    return 0;
}