Package com.vividsolutions.jts.triangulate

Source Code of com.vividsolutions.jts.triangulate.IncrementalDelaunayTriangulator

/*
* 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.triangulate;

import java.util.Collection;
import java.util.Iterator;

import com.vividsolutions.jts.triangulate.quadedge.LocateFailureException;
import com.vividsolutions.jts.triangulate.quadedge.QuadEdge;
import com.vividsolutions.jts.triangulate.quadedge.QuadEdgeSubdivision;
import com.vividsolutions.jts.triangulate.quadedge.Vertex;

/**
* Computes a Delauanay Triangulation of a set of {@link Vertex}es, using an
* incrementatal insertion algorithm.
*
* @author Martin Davis
* @version 1.0
*/
public class IncrementalDelaunayTriangulator
{
  private QuadEdgeSubdivision subdiv;
  private boolean isUsingTolerance = false;

  /**
   * Creates a new triangulator using the given {@link QuadEdgeSubdivision}.
   * The triangulator uses the tolerance of the supplied subdivision.
   *
   * @param subdiv
   *          a subdivision in which to build the TIN
   */
  public IncrementalDelaunayTriangulator(QuadEdgeSubdivision subdiv) {
    this.subdiv = subdiv;
    isUsingTolerance = subdiv.getTolerance() > 0.0;
   
  }

  /**
   * Inserts all sites in a collection. The inserted vertices <b>MUST</b> be
   * unique up to the provided tolerance value. (i.e. no two vertices should be
   * closer than the provided tolerance value). They do not have to be rounded
   * to the tolerance grid, however.
   *
   * @param vertices a Collection of Vertex
   *
   * @throws LocateFailureException if the location algorithm fails to converge in a reasonable number of iterations
   */
  public void insertSites(Collection vertices) {
    for (Iterator i = vertices.iterator(); i.hasNext();) {
      Vertex v = (Vertex) i.next();
      insertSite(v);
    }
  }

  /**
   * Inserts a new point into a subdivision representing a Delaunay
   * triangulation, and fixes the affected edges so that the result is still a
   * Delaunay triangulation.
   * <p>
   *
   * @return a quadedge containing the inserted vertex
   */
  public QuadEdge insertSite(Vertex v) {

    /**
     * This code is based on Guibas and Stolfi (1985), with minor modifications
     * and a bug fix from Dani Lischinski (Graphic Gems 1993). (The modification
     * I believe is the test for the inserted site falling exactly on an
     * existing edge. Without this test zero-width triangles have been observed
     * to be created)
     */
    QuadEdge e = subdiv.locate(v);

    if (subdiv.isVertexOfEdge(e, v)) {
      // point is already in subdivision.
      return e;
    }
    else if (subdiv.isOnEdge(e, v.getCoordinate())) {
      // the point lies exactly on an edge, so delete the edge
      // (it will be replaced by a pair of edges which have the point as a vertex)
      e = e.oPrev();
      subdiv.delete(e.oNext());
    }

    /**
     * Connect the new point to the vertices of the containing triangle
     * (or quadrilateral, if the new point fell on an existing edge.)
     */
    QuadEdge base = subdiv.makeEdge(e.orig(), v);
    QuadEdge.splice(base, e);
    QuadEdge startEdge = base;
    do {
      base = subdiv.connect(e, base.sym());
      e = base.oPrev();
    } while (e.lNext() != startEdge);

    // Examine suspect edges to ensure that the Delaunay condition
    // is satisfied.
    do {
      QuadEdge t = e.oPrev();
      if (t.dest().rightOf(e) && v.inCircle(e.orig(), t.dest(), e.dest())) {
        QuadEdge.swap(e);
        e = e.oPrev();
      } else if (e.oNext() == startEdge) {
        return base; // no more suspect edges.
      } else {
        e = e.oNext().lPrev();
      }
    } while (true);
  }

}
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