多边形交叉与增强

我试图通过使用Boost多边形库相交两个多边形。我从boost网站上提出的custom_polygon的例子开始:

http://www.boost.org/doc/libs/1_59_0/libs/polygon/doc/gtl_custom_polygon.htm

在test_polygon函数中，我填充了两个多边形。我的问题是，如果有可能调用poly1和poly2的交集函数。如果我编译，我有一个很长的错误列表。

#include <boost/polygon/polygon.hpp>
#include <boost/geometry.hpp>
#include <boost/geometry/geometries/point_xy.hpp>
#include <list>

// My Point class
class MyPoint {
public:
    double x, y;
};
// MyPolygon as a list of MyPoint
typedef std::list<MyPoint> MyPolygon;

template <>
struct boost::polygon::geometry_concept<MyPoint> {
    typedef point_concept type;
};
template <>
struct boost::polygon::point_traits<MyPoint> {
    typedef double coordinate_type;
    static inline coordinate_type get(const MyPoint& point, boost::polygon::orientation_2d orient) {
        if (orient == boost::polygon::HORIZONTAL)
            return point.x;
        return point.y;
    }
};

template <>
struct boost::polygon::point_mutable_traits<MyPoint> {
    typedef double coordinate_type;
    static inline void set(MyPoint& point, boost::polygon::orientation_2d orient, double value) {
        if (orient == boost::polygon::HORIZONTAL)
            point.x = value;
        else
            point.y = value;
    }
    static inline MyPoint construct(double x_value, double y_value) {
        MyPoint retval;
        retval.x = x_value;
        retval.y = y_value;
        return retval;
    }
};

template <>
struct  boost::polygon::geometry_concept<MyPolygon>{
    typedef  boost::polygon::polygon_concept type;
};

template <>
struct  boost::polygon::polygon_traits<MyPolygon> {
    typedef double coordinate_type;
    typedef MyPolygon::const_iterator iterator_type;
    typedef MyPoint point_type;
    static inline iterator_type begin_points(const MyPolygon& t) {
        return t.begin();
    }
    static inline iterator_type end_points(const MyPolygon& t) {
        return t.end();
    }
    // Get the number of sides of the polygon
    static inline std::size_t size(const MyPolygon& t) {
        return t.size();
    }
    // Get the winding direction of the polygon
    static inline winding_direction winding(const MyPolygon& t) {
        return unknown_winding;
    }
};

template <>
struct  boost::polygon::polygon_mutable_traits<MyPolygon> {
    //expects stl style iterators
    template < typename iT >
    static inline MyPolygon& set_points(MyPolygon& t, iT input_begin, iT input_end) {
        t.clear();
        t.insert(t.end(), input_begin, input_end);
        return t;
    }
};


template < typename Polygon, typename Point >
void test_polygon() {
    Polygon poly1, poly2;
    // Define a vector container
    std::vector< boost::polygon::polygon_traits< Polygon >::point_type  > vpoints;
    vpoints.push_back(boost::polygon::construct<Point>(0.0, 0.0));
    vpoints.push_back(boost::polygon::construct<Point>(0.0, 1.0));
    vpoints.push_back(boost::polygon::construct<Point>(1.0, 1.0));
    vpoints.push_back(boost::polygon::construct<Point>(1.0, 0.0));
    vpoints.push_back(boost::polygon::construct<Point>(0.05, 0.0));
    boost::polygon::set_points(poly1, vpoints.begin(), vpoints.end());
    vpoints.clear();
    vpoints.push_back(boost::polygon::construct<Point>(0.5, -0.5));
    vpoints.push_back(boost::polygon::construct<Point>(0.5, 0.5));
    vpoints.push_back(boost::polygon::construct<Point>(1.5, 0.5));
    vpoints.push_back(boost::polygon::construct<Point>(1.5, -0.5));
    vpoints.push_back(boost::polygon::construct<Point>(0.5, -0.5));
    boost::polygon::set_points(poly2, vpoints.begin(), vpoints.end());
    std::deque<Polygon> output;
    boost::geometry::intersection(poly1, poly2, output);  // ERROR!!!
}


int main() {
    test_polygon< MyPolygon, MyPoint >();
    system("pause");
    return 0;
}

#include <boost/geometry.hpp>
#include <boost/geometry/core/point_type.hpp>
#include <boost/geometry/geometries/point.hpp>
#include <boost/geometry/geometries/register/point.hpp>
#include <boost/geometry/geometries/register/linestring.hpp>
namespace bg = boost::geometry;
struct MyPoint {
    double x, y;
};
typedef std::vector<MyPoint> MyPolygon;
BOOST_GEOMETRY_REGISTER_POINT_2D(MyPoint, double, bg::cs::cartesian, x, y)
BOOST_GEOMETRY_REGISTER_LINESTRING(MyPolygon)
template < typename Polygon, typename Point >
std::deque<Polygon> test_polygon() {
    Polygon poly1 { {0.0,  0.0}, {0.0, 1.0}, {1.0, 1.0}, {1.0,  0.0}, {0.05,  0.0}, };
    Polygon poly2 { {0.5, -0.5}, {0.5, 0.5}, {1.5, 0.5}, {1.5, -0.5},  {0.5, -0.5}, };
    std::deque<Polygon> output;
    boost::geometry::intersection(poly1, poly2, output); 
    return output;
}
int main() {
    for (auto& p : test_polygon< MyPolygon, MyPoint >())
        std::cout << "Intersection: " << bg::wkt(p) << "n";
}

Intersection: LINESTRING(1 0.5,1 0.5)
Intersection: LINESTRING(0.5 0,0.5 0)