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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.operation.buffer;

import com.vividsolutions.jts.algorithm.CGAlgorithms;
import com.vividsolutions.jts.geom.*;

/**
 * Simplifies a buffer input line to 
 * remove concavities with shallow depth.
 * 

* The most important benefit of doing this * is to reduce the number of points and the complexity of * shape which will be buffered. * It also reduces the risk of gores created by * the quantized fillet arcs (although this issue * should be eliminated in any case by the * offset curve generation logic). *

* A key aspect of the simplification is that it * affects inside (concave or inward) corners only. * Convex (outward) corners are preserved, since they * are required to ensure that the generated buffer curve * lies at the correct distance from the input geometry. *

* Another important heuristic used is that the end segments * of the input are never simplified. This ensures that * the client buffer code is able to generate end caps faithfully. *

* No attempt is made to avoid self-intersections in the output. * This is acceptable for use for generating a buffer offset curve, * since the buffer algorithm is insensitive to invalid polygonal * geometry. However, * this means that this algorithm * cannot be used as a general-purpose polygon simplification technique. * * @author Martin Davis * */ public class BufferInputLineSimplifier { /** * Simplify the input coordinate list. * If the distance tolerance is positive, * concavities on the LEFT side of the line are simplified. * If the supplied distance tolerance is negative, * concavities on the RIGHT side of the line are simplified. * * @param inputLine the coordinate list to simplify * @param distanceTol simplification distance tolerance to use * @return the simplified coordinate list */ public static Coordinate[] simplify(Coordinate[] inputLine, double distanceTol) { BufferInputLineSimplifier simp = new BufferInputLineSimplifier(inputLine); return simp.simplify(distanceTol); } private static final int INIT = 0; private static final int DELETE = 1; private static final int KEEP = 1; private Coordinate[] inputLine; private double distanceTol; private byte[] isDeleted; private int angleOrientation = CGAlgorithms.COUNTERCLOCKWISE; public BufferInputLineSimplifier(Coordinate[] inputLine) { this.inputLine = inputLine; } /** * Simplify the input coordinate list. * If the distance tolerance is positive, * concavities on the LEFT side of the line are simplified. * If the supplied distance tolerance is negative, * concavities on the RIGHT side of the line are simplified. * * @param distanceTol simplification distance tolerance to use * @return the simplified coordinate list */ public Coordinate[] simplify(double distanceTol) { this.distanceTol = Math.abs(distanceTol); if (distanceTol < 0) angleOrientation = CGAlgorithms.CLOCKWISE; // rely on fact that boolean array is filled with false value isDeleted = new byte[inputLine.length]; boolean isChanged = false; do { isChanged = deleteShallowConcavities(); } while (isChanged); return collapseLine(); } /** * Uses a sliding window containing 3 vertices to detect shallow angles * in which the middle vertex can be deleted, since it does not * affect the shape of the resulting buffer in a significant way. * @return */ private boolean deleteShallowConcavities() { /** * Do not simplify end line segments of the line string. * This ensures that end caps are generated consistently. */ int index = 1; int maxIndex = inputLine.length - 1; int midIndex = findNextNonDeletedIndex(index); int lastIndex = findNextNonDeletedIndex(midIndex); boolean isChanged = false; while (lastIndex < inputLine.length) { // test triple for shallow concavity boolean isMiddleVertexDeleted = false; if (isDeletable(index, midIndex, lastIndex, distanceTol)) { isDeleted[midIndex] = DELETE; isMiddleVertexDeleted = true; isChanged = true; } // move simplification window forward if (isMiddleVertexDeleted) index = lastIndex; else index = midIndex; midIndex = findNextNonDeletedIndex(index); lastIndex = findNextNonDeletedIndex(midIndex); } return isChanged; } /** * Finds the next non-deleted index, or the end of the point array if none * @param index * @return the next non-deleted index, if any * or inputLine.length if there are no more non-deleted indices */ private int findNextNonDeletedIndex(int index) { int next = index + 1; while (next < inputLine.length && isDeleted[next] == DELETE) next++; return next; } private Coordinate[] collapseLine() { CoordinateList coordList = new CoordinateList(); for (int i = 0; i < inputLine.length; i++) { if (isDeleted[i] != DELETE) coordList.add(inputLine[i]); } // if (coordList.size() < inputLine.length) System.out.println("Simplified " + (inputLine.length - coordList.size()) + " pts"); return coordList.toCoordinateArray(); } private boolean isDeletable(int i0, int i1, int i2, double distanceTol) { Coordinate p0 = inputLine[i0]; Coordinate p1 = inputLine[i1]; Coordinate p2 = inputLine[i2]; if (! isConcave(p0, p1, p2)) return false; if (! isShallow(p0, p1, p2, distanceTol)) return false; // MD - don't use this heuristic - it's too restricting // if (p0.distance(p2) > distanceTol) return false; return isShallowSampled(p0, p1, i0, i2, distanceTol); } private boolean isShallowConcavity(Coordinate p0, Coordinate p1, Coordinate p2, double distanceTol) { int orientation = CGAlgorithms.computeOrientation(p0, p1, p2); boolean isAngleToSimplify = (orientation == angleOrientation); if (! isAngleToSimplify) return false; double dist = CGAlgorithms.distancePointLine(p1, p0, p2); return dist < distanceTol; } private static final int NUM_PTS_TO_CHECK = 10; /** * Checks for shallowness over a sample of points in the given section. * This helps prevents the siplification from incrementally * "skipping" over points which are in fact non-shallow. * * @param p0 start coordinate of section * @param p2 end coordinate of section * @param i0 start index of section * @param i2 end index of section * @param distanceTol distance tolerance * @return */ private boolean isShallowSampled(Coordinate p0, Coordinate p2, int i0, int i2, double distanceTol) { // check every n'th point to see if it is within tolerance int inc = (i2 - i0) / NUM_PTS_TO_CHECK; if (inc <= 0) inc = 1; for (int i = i0; i < i2; i += inc) { if (! isShallow(p0, p2, inputLine[i], distanceTol)) return false; } return true; } private boolean isShallow(Coordinate p0, Coordinate p1, Coordinate p2, double distanceTol) { double dist = CGAlgorithms.distancePointLine(p1, p0, p2); return dist < distanceTol; } private boolean isConcave(Coordinate p0, Coordinate p1, Coordinate p2) { int orientation = CGAlgorithms.computeOrientation(p0, p1, p2); boolean isConcave = (orientation == angleOrientation); return isConcave; } }





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