discrete_hausdorff_distance (with strategy)

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

Synopsis

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

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
Strategy const &	A type fulfilling a DistanceStrategy concept	strategy	Distance strategy to be used to calculate Pt-Pt distance

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.

Available Strategies

Example

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

#include <iostream>

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

int main()
{
    namespace bg = boost::geometry;
    typedef bg::model::point<double, 2, bg::cs::geographic<bg::degree> > point_type;
    typedef bg::model::linestring<point_type> linestring_type;

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

    bg::srs::spheroid<double> spheroid(6378137.0, 6356752.3142451793);
    bg::strategy::distance::geographic<> strategy(spheroid);

    double res = bg::discrete_hausdorff_distance(ls1, ls2, strategy);

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

    return 0;
}

Output:

Discrete Hausdorff Distance: 110574