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/*
 * The JTS Topology Suite is a collection of Java classes that
 * implement the fundamental operations required to validate a given
 * geo-spatial data set to a known topological specification.
 *
 * Copyright (C) 2001 Vivid Solutions
 *
 * This library is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2.1 of the License, or (at your option) any later version.
 *
 * This library is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with this library; if not, write to the Free Software
 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 *
 * For more information, contact:
 *
 *     Vivid Solutions
 *     Suite #1A
 *     2328 Government Street
 *     Victoria BC  V8T 5G5
 *     Canada
 *
 *     (250)385-6040
 *     www.vividsolutions.com
 */

package com.vividsolutions.jts.algorithm.distance;

import com.vividsolutions.jts.geom.*;

/**
 * An algorithm for computing a distance metric
 * which is an approximation to the Hausdorff Distance
 * based on a discretization of the input {@link Geometry}.
 * The algorithm computes the Hausdorff distance restricted to discrete points
 * for one of the geometries.
 * The points can be either the vertices of the geometries (the default), 
 * or the geometries with line segments densified by a given fraction.
 * Also determines two points of the Geometries which are separated by the computed distance.
* 

* This algorithm is an approximation to the standard Hausdorff distance. * Specifically, *

 *    for all geometries a, b:    DHD(a, b) <= HD(a, b)
 * 
* The approximation can be made as close as needed by densifying the input geometries. * In the limit, this value will approach the true Hausdorff distance: *
 *    DHD(A, B, densifyFactor) -> HD(A, B) as densifyFactor -> 0.0
 * 
* The default approximation is exact or close enough for a large subset of useful cases. * Examples of these are: *
    *
  • computing distance between Linestrings that are roughly parallel to each other, * and roughly equal in length. This occurs in matching linear networks. *
  • Testing similarity of geometries. *
* An example where the default approximation is not close is: *
 *   A = LINESTRING (0 0, 100 0, 10 100, 10 100)
 *   B = LINESTRING (0 100, 0 10, 80 10)
 *   
 *   DHD(A, B) = 22.360679774997898
 *   HD(A, B) ~= 47.8
 * 
*/ public class DiscreteHausdorffDistance { public static double distance(Geometry g0, Geometry g1) { DiscreteHausdorffDistance dist = new DiscreteHausdorffDistance(g0, g1); return dist.distance(); } public static double distance(Geometry g0, Geometry g1, double densifyFrac) { DiscreteHausdorffDistance dist = new DiscreteHausdorffDistance(g0, g1); dist.setDensifyFraction(densifyFrac); return dist.distance(); } private Geometry g0; private Geometry g1; private PointPairDistance ptDist = new PointPairDistance(); /** * Value of 0.0 indicates that no densification should take place */ private double densifyFrac = 0.0; public DiscreteHausdorffDistance(Geometry g0, Geometry g1) { this.g0 = g0; this.g1 = g1; } /** * Sets the fraction by which to densify each segment. * Each segment will be (virtually) split into a number of equal-length * subsegments, whose fraction of the total length is closest * to the given fraction. * * @param densifyPercent */ public void setDensifyFraction(double densifyFrac) { if (densifyFrac > 1.0 || densifyFrac <= 0.0) throw new IllegalArgumentException("Fraction is not in range (0.0 - 1.0]"); this.densifyFrac = densifyFrac; } public double distance() { compute(g0, g1); return ptDist.getDistance(); } public double orientedDistance() { computeOrientedDistance(g0, g1, ptDist); return ptDist.getDistance(); } public Coordinate[] getCoordinates() { return ptDist.getCoordinates(); } private void compute(Geometry g0, Geometry g1) { computeOrientedDistance(g0, g1, ptDist); computeOrientedDistance(g1, g0, ptDist); } private void computeOrientedDistance(Geometry discreteGeom, Geometry geom, PointPairDistance ptDist) { MaxPointDistanceFilter distFilter = new MaxPointDistanceFilter(geom); discreteGeom.apply(distFilter); ptDist.setMaximum(distFilter.getMaxPointDistance()); if (densifyFrac > 0) { MaxDensifiedByFractionDistanceFilter fracFilter = new MaxDensifiedByFractionDistanceFilter(geom, densifyFrac); discreteGeom.apply(fracFilter); ptDist.setMaximum(fracFilter.getMaxPointDistance()); } } public static class MaxPointDistanceFilter implements CoordinateFilter { private PointPairDistance maxPtDist = new PointPairDistance(); private PointPairDistance minPtDist = new PointPairDistance(); private DistanceToPoint euclideanDist = new DistanceToPoint(); private Geometry geom; public MaxPointDistanceFilter(Geometry geom) { this.geom = geom; } public void filter(Coordinate pt) { minPtDist.initialize(); DistanceToPoint.computeDistance(geom, pt, minPtDist); maxPtDist.setMaximum(minPtDist); } public PointPairDistance getMaxPointDistance() { return maxPtDist; } } public static class MaxDensifiedByFractionDistanceFilter implements CoordinateSequenceFilter { private PointPairDistance maxPtDist = new PointPairDistance(); private PointPairDistance minPtDist = new PointPairDistance(); private Geometry geom; private int numSubSegs = 0; public MaxDensifiedByFractionDistanceFilter(Geometry geom, double fraction) { this.geom = geom; numSubSegs = (int) Math.rint(1.0/fraction); } public void filter(CoordinateSequence seq, int index) { /** * This logic also handles skipping Point geometries */ if (index == 0) return; Coordinate p0 = seq.getCoordinate(index - 1); Coordinate p1 = seq.getCoordinate(index); double delx = (p1.x - p0.x)/numSubSegs; double dely = (p1.y - p0.y)/numSubSegs; for (int i = 0; i < numSubSegs; i++) { double x = p0.x + i*delx; double y = p0.y + i*dely; Coordinate pt = new Coordinate(x, y); minPtDist.initialize(); DistanceToPoint.computeDistance(geom, pt, minPtDist); maxPtDist.setMaximum(minPtDist); } } public boolean isGeometryChanged() { return false; } public boolean isDone() { return false; } public PointPairDistance getMaxPointDistance() { return maxPtDist; } } }




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