Application: gvSIG desktop » gvSIG tools: ToolBox

/**

 *    @author              Josef Bezdek, ZCU Plzen

 *          @version             1.0

 *    @since                 JDK1.5

 */

package es.unex.sextante.tin.smoothTinBezier;

import java.awt.geom.GeneralPath;

import com.vividsolutions.jts.geom.Coordinate;

public class Bezier {

   Coordinate  b300;

   Coordinate  b030;

   Coordinate  b003;

   Coordinate  b012         = null;

   Coordinate  b021         = null;

   Coordinate  b102         = null;

   Coordinate  b120         = null;

   Coordinate  b210         = null;

   Coordinate  b201         = null;

   Coordinate  b111         = null;

   GeneralPath trianglePath = new GeneralPath();

   /******************************************************************************************************************************

    * Constructor

    * 

    * @param bxxx -

    *                control points of control mesh

    */

   protected Bezier(final Coordinate b300,

                    final Coordinate b030,

                    final Coordinate b003,

                    final Coordinate b210,

                    final Coordinate b120,

                    final Coordinate b021,

                    final Coordinate b012,

                    final Coordinate b102,

                    final Coordinate b201,

                    final Coordinate b111) {

      this.b300 = b300;

      this.b030 = b030;

      this.b003 = b003;

      this.b012 = b012;

      this.b021 = b021;

      this.b102 = b102;

      this.b120 = b120;

      this.b210 = b210;

      this.b201 = b201;

      this.b111 = b111;

      trianglePath.moveTo((float) b300.x, (float) b300.y);

      trianglePath.lineTo((float) b030.x, (float) b030.y);

      trianglePath.lineTo((float) b003.x, (float) b003.y);

      trianglePath.lineTo((float) b300.x, (float) b300.y);

      trianglePath.closePath();

   }

   /******************************************************************************************************************************

    * Protected method for counting elevation of triangle's point with coordinates u,v

    * 

    * @param u -

    *                barycentric koeficient u

    * @param v -

    *                barycentric koeficient v

    * @return new point

    */

   protected Coordinate getElevation(final double u,

                                     final double v,

                                     final double scaleZ) {

      final double w = 1 - u - v;

      final double x = b300.x * Math.pow(w, 3) + b030.x * Math.pow(u, 3) + b003.x * Math.pow(v, 3) + 3 * b210.x * Math.pow(w, 2)

                       * u + 3 * b120.x * Math.pow(u, 2) * w + 3 * b201.x * Math.pow(w, 2) * v + 3 * b021.x * Math.pow(u, 2) * v

                       + 3 * b102.x * Math.pow(v, 2) * w + 3 * b012.x * u * Math.pow(v, 2) + 6 * b111.x * u * v * w;

      final double y = b300.y * Math.pow(w, 3) + b030.y * Math.pow(u, 3) + b003.y * Math.pow(v, 3) + 3 * b210.y * Math.pow(w, 2)

                       * u + 3 * b120.y * Math.pow(u, 2) * w + 3 * b201.y * Math.pow(w, 2) * v + 3 * b021.y * Math.pow(u, 2) * v

                       + 3 * b102.y * Math.pow(v, 2) * w + 3 * b012.y * u * Math.pow(v, 2) + 6 * b111.y * u * v * w;

      final double z = (b300.z * Math.pow(w, 3) + b030.z * Math.pow(u, 3) + b003.z * Math.pow(v, 3) + 3 * b210.z * Math.pow(w, 2)

                        * u + 3 * b120.z * Math.pow(u, 2) * w + 3 * b201.z * Math.pow(w, 2) * v + 3 * b021.z * Math.pow(u, 2) * v

                        + 3 * b102.z * Math.pow(v, 2) * w + 3 * b012.z * u * Math.pow(v, 2) + 6 * b111.z * u * v * w)

                       * scaleZ;

      return new Coordinate(x, y, z);

   }

   protected void printToConsole() {

      System.out.println("======================================");

      System.out.println(b300.toString());

      System.out.println(b030.toString());

      System.out.println(b003.toString());

      System.out.println("Normals:");

      System.out.println(b210.toString());

      System.out.println(b120.toString());

      System.out.println(b021.toString());

      System.out.println(b012.toString());

      System.out.println(b102.toString());

      System.out.println(b201.toString());

      System.out.println(b111.toString());

      System.out.println("======================================");

   }

   /******************************************************************************************************************************

    * The method which testing, if the triangle contains the point

    * 

    * @param P -

    *                point which will be tested

    * 

    * @return boolean true - the triangle contains the point false - the triangle doesn't contains point

    * 

    */

   public boolean contains(final Coordinate P) {

      return trianglePath.contains(P.x, P.y);

   }

}