discrete_hausdorff_distance

Calculate discrete Hausdorff distance between two geometries (currently works for LineString-LineString, MultiPoint-MultiPoint, Point-MultiPoint, MultiLineString-MultiLineString).

Synopsis

template<typename Geometry1, typename Geometry2>
auto discrete_hausdorff_distance(Geometry1 const & geometry1, Geometry2 const & geometry2)

Parameters

Type	Concept	Name	Description
Geometry1 const &	Any type fulfilling a Geometry Concept	geometry1	Input geometry
Geometry2 const &	Any type fulfilling a Geometry Concept	geometry2	Input geometry

Header

Either

#include <boost/geometry.hpp>

#include <boost/geometry/algorithms/discrete_hausdorff_distance.hpp>

Behavior

The algorithm calculate discrete hausdorff distance between two geometries.

	Note
	The units of the distance depends on strategy. In order to change the default behavior a user has to create a strategy and pass it explicitly into the algorithm.

Example

Calculate Similarity between two geometries as the discrete hasdorff distance between them.

#include <iostream>

#include <boost/geometry.hpp>
#include <boost/geometry/geometries/point_xy.hpp>
#include <boost/geometry/geometries/linestring.hpp>

int main()
{
    typedef boost::geometry::model::d2::point_xy<double> point_type;
    typedef boost::geometry::model::linestring<point_type> linestring_type;

    linestring_type ls1, ls2;
    boost::geometry::read_wkt("LINESTRING(0 0,1 1,1 2,2 1,2 2)", ls1);
    boost::geometry::read_wkt("LINESTRING(1 0,0 1,1 1,2 1,3 1)", ls2);

    double res = boost::geometry::discrete_hausdorff_distance(ls1, ls2);

    std::cout << "Discrete Hausdorff Distance: " << res << std::endl;

    return 0;
}

Output:

Discrete Hausdorff Distance: 1.0