Boost::Geometry：如何在multi_polygon中合并相交的多边形？

Question

我想将一个multi_polygon中所有相关的多边形连接在一起。如何实现这样的操作？

我们有如下图像（一个绿色的multi_polygon），我们想要进行优化（可以看到黄色虚线 - 是对multi_polygon中每个多边形执行的简化结果，而不是针对整个multi_polygon）：

以下是可编译代码，可生成此类图像：

#include <iostream>
#include <fstream>
#include <boost/assign.hpp>

#include <boost/algorithm/string.hpp>
#include <boost/geometry/geometry.hpp>
#include <boost/geometry/geometries/geometries.hpp>
#include <boost/geometry/multi/geometries/multi_polygon.hpp>

#include <boost/geometry/extensions/io/svg/svg_mapper.hpp>

template <typename Geometry1, typename Geometry2>
void create_svg(std::string const& filename, Geometry1 const& a, Geometry2 const& b)
{
    typedef typename boost::geometry::point_type<Geometry1>::type point_type;
    std::ofstream svg(filename.c_str());

    boost::geometry::svg_mapper<point_type> mapper(svg, 400, 400);
    mapper.add(a);
    mapper.add(b);

    mapper.map(a, "fill-opacity:0.5;fill:rgb(153,204,0);stroke:rgb(153,204,0);stroke-width:2");
    mapper.map(b, "opacity:0.8;fill:none;stroke:rgb(255,128,0);stroke-width:4;stroke-dasharray:1,7;stroke-linecap:round");
}


boost::geometry::model::polygon<boost::geometry::model::d2::point_xy<double> > make_point(int x, int y)
{
    boost::geometry::model::polygon<boost::geometry::model::d2::point_xy<double> > return_item;
    boost::geometry::model::d2::point_xy<double> p1(x, y);
    boost::geometry::model::d2::point_xy<double> p2(x-1, y);
    boost::geometry::model::d2::point_xy<double> p3(x-1, y-1);
    boost::geometry::model::d2::point_xy<double> p4(x, y-1);

    boost::geometry::append(  return_item, p1);
    boost::geometry::append(  return_item, p2);
    boost::geometry::append(  return_item, p3);
    boost::geometry::append(  return_item, p4);

    return return_item;

}

int main()
{
    // create a container for joined points structure
    boost::geometry::model::multi_polygon< boost::geometry::model::polygon<boost::geometry::model::d2::point_xy<double> > > output, simpl;

    // join points one by one (because one day we would have many=))
    output.push_back(make_point(1,1));
    boost::geometry::correct(output);

    output.push_back(make_point(2,1));
    boost::geometry::correct(output);

    output.push_back(make_point(3,1));
    boost::geometry::correct(output);

    output.push_back(make_point(4,1));
    boost::geometry::correct(output);

    output.push_back(make_point(5,1));
    boost::geometry::correct(output);

    output.push_back(make_point(2,2));
    boost::geometry::correct(output);

    output.push_back(make_point(3,2));
    boost::geometry::correct(output);

    output.push_back(make_point(5,2));
    boost::geometry::correct(output);

    output.push_back(make_point(5,5));
    boost::geometry::correct(output);


    // simplify joined structure
    boost::geometry::simplify(output, simpl, 0.5);

    // create an svg image
    create_svg("make_envelope.svg",  output, simpl );
}

需要至少boost 1.47.0和3个文件，这些文件可以从boost/geometry/extensions/io/svg/获取。

我需要的很简单：如何对相关的多边形进行分组？在这种情况下，我们将在我们的多边形中获得2个多边形-如图所示的红色和绿色：

更新：

因此，我在此处找到了关于dissolve的信息，并创建了使用环来创建单元格的示例代码：

#include <iostream>
#include <fstream>
#include <boost/assign.hpp>

//Boost
#include <boost/algorithm/string.hpp>
#include <boost/geometry/geometry.hpp>
#include <boost/geometry/geometries/geometries.hpp>
#include <boost/geometry/multi/geometries/multi_polygon.hpp>
#include <boost/geometry/geometries/adapted/boost_tuple.hpp>

BOOST_GEOMETRY_REGISTER_BOOST_TUPLE_CS(cs::cartesian)

#include <boost/foreach.hpp>

//Boost Geometry extensions (from trunk) 
#include <boost/geometry/extensions/io/svg/svg_mapper.hpp>

template <typename Geometry1, typename Geometry2>
void create_svg(std::string const& filename, Geometry1 const& a, Geometry2 const& b)
{
    typedef typename boost::geometry::point_type<Geometry1>::type point_type;
    std::ofstream svg(filename.c_str());

    boost::geometry::svg_mapper<point_type> mapper(svg, 400, 400);
    mapper.add(a);
    mapper.add(b);

    mapper.map(a, "fill-rule:nonzero;fill-opacity:0.5;fill:rgb(153,204,0);stroke:rgb(153,204,0);stroke-width:2;");
    mapper.map(b, "opacity:0.8;fill:none;stroke:rgb(255,128,0);stroke-width:4;stroke-dasharray:1,7;stroke-linecap:round");
}

void make_point(int x, int y, boost::geometry::model::ring<boost::geometry::model::d2::point_xy<double> > & ring)
{
    using namespace boost::assign;

    ring += 
        boost::geometry::model::d2::point_xy<double>(x-1, y-1),
        boost::geometry::model::d2::point_xy<double>(x, y-1),
        boost::geometry::model::d2::point_xy<double>(x, y),
        boost::geometry::model::d2::point_xy<double>(x-1, y),
        boost::geometry::model::d2::point_xy<double>(x-1, y-1);

}

int main()
{
    using namespace boost::assign;
    boost::geometry::model::ring<boost::geometry::model::d2::point_xy<double> > ring0, ring1,ring;

    boost::geometry::model::multi_polygon< boost::geometry::model::polygon<boost::geometry::model::d2::point_xy<double> > > outputw;

    make_point(1, 1, ring) ;
    make_point(2, 1, ring) ;
    make_point(3, 1, ring) ;
    make_point(4, 1, ring) ;
    make_point(5, 1, ring) ;
    make_point(2, 2, ring) ;
    make_point(3, 2, ring) ;
    make_point(5, 2, ring) ;

    boost::geometry::model::ring<boost::geometry::model::d2::point_xy<double> > output;
    boost::geometry::simplify(ring, output, 1);

    // create an svg image
    create_svg("make_envelope.svg",  ring, output );
}

它返回这样的环图片：

如果我们可以使用dissolve将其转换为多边形，那么就可以解决我的一些问题。但看起来现在由于这个编译器错误问题，我们不能这样做。这个问题的描述可以在这里找到。

- Rella

---

我认为你可能正在寻找连接提取：http://www.boost.org/doc/libs/1_47_0/libs/polygon/doc/gtl_connectivity_extraction.htm - Nathan Monteleone

Answer 1

如果您使用QPolygonF，可以考虑使用Qt。您可以调用 unite 方法来完成所需的操作。在合并后，您可以提取点并将它们放回到boost容器中。

如果无法使用Qt，请查看此处提供的算法 http://www.wykobi.com。

- Martin

Answer 2

你可以使用Boost库中的这个函数：

void union_(Geometry1 const & geometry1, Geometry2 const & geometry2, Collection & output_collection)

它接受两个几何体，如果它们有交集，则将它们合并，否则将它们放入一个集合（向量、双端队列等）中。

- Илья Колдунов