Boost几何交叉点无法正确输出

Question

从下面的代码我计算两个多边形的交集。我希望如果输出不是多边形，则输出可以为NULL。但是输出是（（（240,52.9999），（240,53），（240,53），（240,52.9999）））。这不是多边形。有没有办法检查输出是否真的是多边形？

#include <iostream>
#include <deque>
#include <vector>
#include <boost/geometry.hpp>
#include <boost/geometry/geometries/point_xy.hpp>
#include <boost/geometry/geometries/polygon.hpp>
#include <boost/geometry/io/wkt/wkt.hpp>
#include <boost/geometry/algorithms/append.hpp>

#include <algorithm> // for reverse, unique
#include <iostream>
#include <string>


int main()
{
   typedef boost::geometry::model::d2::point_xy<double,    boost::geometry::cs::cartesian> point_2d;
   typedef boost::geometry::model::polygon<point_2d> polygon_2d;

    polygon_2d green;
    boost::geometry::append(green, point_2d(286.188, 90.9575));
    boost::geometry::append(green, point_2d(274.902, 56.2215));
    boost::geometry::append(green, point_2d(274.238, 55.7393));
    boost::geometry::append(green, point_2d(246.908, 51.9765));
    boost::geometry::append(green, point_2d(194.477, 59.7441));
    boost::geometry::append(green, point_2d(159.213, 101.141));
    boost::geometry::append(green, point_2d(203.576, 149.537));
    boost::geometry::append(green, point_2d(286.188, 90.9575));

    polygon_2d blue;
    boost::geometry::append(blue, point_2d(240, 53));
    boost::geometry::append(blue, point_2d(240, -53));
    boost::geometry::append(blue, point_2d(-60, -53));
    boost::geometry::append(blue, point_2d(-60, 53));
    boost::geometry::append(blue, point_2d(240, 53));

    boost::geometry::correct(green);
    boost::geometry::correct(blue);

    std::vector<polygon_2d> output;
    boost::geometry::intersection(green, blue, output);

    std::cout << "green && blue:" << std::endl;
    if(output.size())
    {
       std::cout<<boost::geometry::dsv(output[0])<<std::endl;
       std::cout<<boost::geometry::area(output[0])<<std::endl;
    }

    return 0;
}

Answer 1

您可以清除无效的几何图形：

output.erase(
        std::remove_copy_if(output.begin(), output.end(), output.begin(), [](polygon_2d const&g) { return boost::geometry::is_valid(g); }),
        output.end());

现在，结果将按预期为空。

看到它Live On Coliru

---

对我来说有趣的是，“无效”的几何形状将首先产生。您可能已经意识到您的多边形选择非常好：

让我们放大一点：

现在，您可能正在研究一些浮点精度问题，例如long long points或boost multiprecision的相同实验，例如：

typedef boost::multiprecision::number<boost::multiprecision::cpp_bin_float<1024*128>> oopmh; // that's a lotta oomph
typedef boost::geometry::model::d2::point_xy<oopmh, boost::geometry::cs::cartesian> point_2d;

你会看到我们得到的

green && blue:
(((2.4e+06, 530000), (-600000, 530000), (-600000, -530000), (2.4e+06, -530000), (2.4e+06, 530000)))
nan

所以它看起来非常像我们只是得到一个奇点的区域。如果你不想要这个，那么也许你应该只定义一个“epsilon”值的类别，一个阈值，你停止考虑重叠重叠。