root / org.gvsig.toolbox / trunk / org.gvsig.toolbox / org.gvsig.toolbox.algorithm / src / main / java / es / unex / sextante / tin / smoothTinBezier / Bezier2.java @ 59
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/**
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* @author Josef Bezdek, ZCU Plzen
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* @version 1.0
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* @since JDK1.5
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*/
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package es.unex.sextante.tin.smoothTinBezier; |
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import java.util.Iterator; |
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import java.util.LinkedList; |
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import com.vividsolutions.jts.geom.Coordinate; |
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import com.vividsolutions.jts.geom.Envelope; |
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import com.vividsolutions.jts.geom.GeometryFactory; |
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import com.vividsolutions.jts.geom.LinearRing; |
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import com.vividsolutions.jts.geom.impl.CoordinateArraySequence; |
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class Bezier2 { |
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Coordinate normalN1 = null;
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Coordinate normalN2 = null;
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Coordinate normalN3 = null;
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Coordinate b300; |
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Coordinate b030; |
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Coordinate b003; |
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Coordinate b012 = null;
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Coordinate b021 = null;
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Coordinate b102 = null;
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Coordinate b120 = null;
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Coordinate b210 = null;
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Coordinate b201 = null;
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Coordinate A111 = null;
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Coordinate B111 = null;
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Coordinate C111 = null;
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Coordinate G = null;
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Coordinate A201, A102, A012, A021, B201, B102; |
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Coordinate n200 = null;
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Coordinate n020 = null;
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Coordinate n002 = null;
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Coordinate n110 = null;
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Coordinate n011 = null;
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Coordinate n101 = null;
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/******************************************************************************************************************************
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* Constructor
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*
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* @param T
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* Trinagle fom original TIN
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* @param listA -
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* normal vectors of planes in point A of triangle T
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* @param listB -
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* normal vectors of planes in point B of triangle T
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* @param listC -
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* normal vectors of planes in point C of triangle T
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*/
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Bezier2(final TriangleDT T,
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final LinkedList listA, |
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final LinkedList listB, |
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final LinkedList listC, |
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final int typeOfBreakLine) { |
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b300 = T.A; |
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b030 = T.B; |
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b003 = T.C; |
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setNormalVector(listA, listB, listC); |
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setControlPoints(typeOfBreakLine); |
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} |
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/******************************************************************************************************************************
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* Constructor
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*
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* @param coords -
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* array of three vertexes which generate triangle
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*/
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Bezier2(final Coordinate[] coords) { |
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b300 = coords[0];
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b030 = coords[1];
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b003 = coords[2];
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} |
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/******************************************************************************************************************************
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* Constructor
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*
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* @param coords -
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* array of three vertexes which generate triangle
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* @param listA -
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* list of normal vektors around vertex A
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* @param listB -
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* list of normal vektors around vertex B
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* @param listC -
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* list of normal vektors around vertex C
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* @param typeOfBreakLine -
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* type of break line which triangle contains
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*/
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Bezier2(final Coordinate[] coords, |
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final LinkedList listA, |
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final LinkedList listB, |
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final LinkedList listC, |
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final int typeOfBreakLine) { |
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b300 = coords[0];
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b030 = coords[1];
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b003 = coords[2];
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setNormalVector(listA, listB, listC); |
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setControlPoints(typeOfBreakLine); |
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} |
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/******************************************************************************************************************************
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* The Protected method for setting one normals for each vertex of T
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*
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* @param listA -
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* normal vectors of planes in point A of triangle T
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* @param listB -
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* normal vectors of planes in point B of triangle T
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* @param listC -
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* normal vectors of planes in point C of triangle T
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*/
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protected void setNormalVector(final LinkedList listA, |
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final LinkedList listB, |
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final LinkedList listC) { |
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normalN1 = countVector(listA, b300); |
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normalN2 = countVector(listB, b030); |
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normalN3 = countVector(listC, b003); |
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} |
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/******************************************************************************************************************************
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* The method which sets new vecter between points A and B
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*
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* @param A -
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* start point
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* @param B -
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* stop point
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* @return vector AB
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*/
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protected static Coordinate setVector(final Coordinate A, |
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final Coordinate B) {
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return new Coordinate(B.x - A.x, B.y - A.y, B.z - A.z); |
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} |
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/******************************************************************************************************************************
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* The method for setting normal vectors of two vectors
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*
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* @param A -
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* vector A
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* @param B -
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* vector B
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* @return normal vector
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*/
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protected static Coordinate setNormalVector(final Coordinate A, |
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final Coordinate B) {
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final Coordinate normal = new Coordinate(A.y * B.z - A.z * B.y, A.z * B.x - A.x * B.z, (A.x * B.y - A.y * B.x)); |
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final double sum = Math.sqrt(Math.pow(normal.x, 2) + Math.pow(normal.y, 2) + Math.pow(normal.z, 2)); |
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//double sum = 1;
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if (normal.z > 0) { |
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return new Coordinate((normal.x / sum), (normal.y / sum), (normal.z / sum)); |
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} |
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else {
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return new Coordinate((-1) * (normal.x / sum), (-1) * (normal.y / sum), (-1) * (normal.z / sum)); |
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} |
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} |
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/******************************************************************************************************************************
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* The private method counts one normal vector from normal vectors of every plane in vertex of triangle
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*
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* @param list -
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* normal vectors of planes in point of triangle T
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* @param P /
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* vertex of T
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* @return normal vector
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*/
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private static Coordinate countVector(final LinkedList list, |
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final Coordinate P) {
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final Iterator iter = list.iterator(); |
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//double koeficient = 1D;
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double sumX = 0; |
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double sumY = 0; |
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double sumZ = 0; |
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while (iter.hasNext()) {
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final Coordinate X = (Coordinate) iter.next();
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sumX += X.x; |
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sumY += X.y; |
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sumZ += X.z; |
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} |
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final double sum = Math.sqrt(Math.pow(sumX, 2) + Math.pow(sumY, 2) + Math.pow(sumZ, 2)); |
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return new Coordinate((sumX / sum), (sumY / sum), (sumZ / sum)); |
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} |
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/******************************************************************************************************************************
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* The protected method counts Scalar product of two vectors v1,v2
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*
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* @param v1 -
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* vector
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* @param v2 -
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* vector
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* @return - scalar product
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*/
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protected static double countScalarProduct(final Coordinate v1, |
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final Coordinate v2) {
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final double scalar = v1.x * v2.x + v1.y * v2.y + v1.z * v2.z; |
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return scalar;
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} |
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/******************************************************************************************************************************
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* The protected function counts cross vector product of two vectors A,B
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*
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* @param A -
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* vector
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* @param B -
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* vector
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* @return - cross product
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*/
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protected static Coordinate countCrossProduct(final Coordinate A, |
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final Coordinate B) {
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final Coordinate normal = new Coordinate(A.y * B.z - A.z * B.y, A.z * B.x - A.x * B.z, (A.x * B.y - A.y * B.x)); |
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final double sum = Math.sqrt(Math.pow(normal.x, 2) + Math.pow(normal.y, 2) + Math.pow(normal.z, 2)); |
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if (normal.z > 0) { |
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return new Coordinate((normal.x / sum), (normal.y / sum), (normal.z / sum)); |
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} |
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else {
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return new Coordinate((-1) * (normal.x / sum), (-1) * (normal.y / sum), (-1) * (normal.z / sum)); |
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} |
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} |
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/******************************************************************************************************************************
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* The protected method counts difference of two vectors v1, v2
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*
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* @param v1 -
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* vector
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* @param v2 -
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* vector
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* @return difference vector
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*/
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protected static Coordinate countDifferenceProduct(final Coordinate v1, |
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final Coordinate v2) {
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return new Coordinate(v1.x - v2.x, v1.y - v2.y, v1.z - v2.z); |
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} |
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/******************************************************************************************************************************
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* The protected function counts sum of two vectors v1, v2
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*
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* @param v1 -
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* vector
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* @param v2 -
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* vector
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* @return sum vector
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*/
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protected static Coordinate countSumProduct(final Coordinate v1, |
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final Coordinate v2) {
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return new Coordinate(v1.x + v2.x, v1.y + v2.y, v1.z + v2.z); |
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} |
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/******************************************************************************************************************************
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* The protected function which normalize vector v
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*
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* @param v -
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* vector
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* @return normalized vector
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*/
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protected static Coordinate normalizeVect(final Coordinate v) { |
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final double sum = Math.sqrt(Math.pow(v.x, 2) + Math.pow(v.y, 2) + Math.pow(v.z, 2)); |
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return new Coordinate((v.x / sum), (v.y / sum), (v.z / sum)); |
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} |
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/******************************************************************************************************************************
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* The private function for help calculation
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*/
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private double helpCount(final Coordinate Pi, |
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final Coordinate Pj,
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final Coordinate Ni,
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final Coordinate Nj) {
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return 2 * (countScalarProduct(countDifferenceProduct(Pj, Pi), countSumProduct(Ni, Nj)) / countScalarProduct( |
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countDifferenceProduct(Pj, Pi), countDifferenceProduct(Pj, Pi))); |
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} |
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/******************************************************************************************************************************
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* The protected method sets Quadratic normals of Bezier triangle
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*/
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protected void setQuadraticNormals() { |
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n200 = normalN1; |
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n020 = normalN2; |
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n002 = normalN3; |
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double help = helpCount(b300, b030, normalN1, normalN2);
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Coordinate dif = countDifferenceProduct(b030, b300); |
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dif.x = dif.x * help; |
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dif.y = dif.y * help; |
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dif.z = dif.z * help; |
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n110 = normalizeVect(countDifferenceProduct(countSumProduct(normalN1, normalN2), dif)); |
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help = helpCount(b030, b003, normalN2, normalN3); |
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dif = countDifferenceProduct(b003, b030); |
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dif.x = dif.x * help; |
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dif.y = dif.y * help; |
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dif.z = dif.z * help; |
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n011 = normalizeVect(countDifferenceProduct(countSumProduct(normalN2, normalN3), dif)); |
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help = helpCount(b003, b300, normalN3, normalN1); |
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dif = countDifferenceProduct(b300, b003); |
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dif.x = dif.x * help; |
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dif.y = dif.y * help; |
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dif.z = dif.z * help; |
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n101 = normalizeVect(countDifferenceProduct(countSumProduct(normalN3, normalN1), dif)); |
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} |
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/******************************************************************************************************************************
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* The protected method gets normal into Bezier triangle with barycentric coordinate
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*
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* @param u -
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* barycentric coordinate u
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* @param v -
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* barycentric coordinate u
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* @return normal of surface
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*/
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protected Coordinate getNormal(final double u, |
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final double v) { |
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final double w = 1 - (u + v); |
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final double x = n200.x * Math.pow(w, 2) + n020.x * Math.pow(u, 2) + n002.x * Math.pow(v, 2) + n110.x * w * u + n011.x * u |
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* v + n101.x * w * v; |
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final double y = n200.y * Math.pow(w, 2) + n020.y * Math.pow(u, 2) + n002.y * Math.pow(v, 2) + n110.y * w * u + n011.y * u |
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* v + n101.y * w * v; |
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final double z = n200.z * Math.pow(w, 2) + n020.z * Math.pow(u, 2) + n002.z * Math.pow(v, 2) + n110.z * w * u + n011.z * u |
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* v + n101.z * w * v; |
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return new Coordinate(x, y, z); |
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} |
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/******************************************************************************************************************************
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* The protected method counts project point to plane
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*
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* @param pointOfPlane -
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* point which is contained into plane
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* @param normalOfPlane -
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* normal vector of plane
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* @param pointOfLine -
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* point which will project to plane
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* @param normalOfLine -
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* normal wich get direction of projection to plane
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* @return coordinates of projected point in plane
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*/
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protected Coordinate countProjectOnToPlane(final Coordinate pointOfPlane, |
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final Coordinate normalOfPlane,
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final Coordinate pointOfLine,
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final Coordinate normalOfLine) {
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final double d = -normalOfPlane.x * pointOfPlane.x - normalOfPlane.y * pointOfPlane.y - normalOfPlane.z * pointOfPlane.z; |
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final double param = (-pointOfLine.x * normalOfPlane.x - pointOfLine.y * normalOfPlane.y - pointOfLine.z * normalOfPlane.z - d) |
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/ (normalOfLine.x * normalOfPlane.x + normalOfLine.y * normalOfPlane.y + normalOfLine.z |
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* normalOfPlane.z); |
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return new Coordinate(pointOfLine.x + param * normalOfLine.x, pointOfLine.y + param * normalOfLine.y, pointOfLine.z + param |
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* normalOfLine.z); |
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} |
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/******************************************************************************************************************************
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* The method for setting control points of bezier triangle
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*
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* @param typeOfBreakLine -
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* type of break which triangle contains
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*/
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protected void setControlPoints(final int typeOfBreakLine) { |
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setQuadraticNormals(); |
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switch (typeOfBreakLine) {
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case (-1): { |
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b210 = new Coordinate((2 * b300.x + b030.x - countScalarProduct(countDifferenceProduct(b030, b300), normalN1) |
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* normalN1.x) / 3, (2 * b300.y + b030.y - countScalarProduct( |
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countDifferenceProduct(b030, b300), normalN1) |
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* normalN1.y) / 3,
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(2 * b300.z + b030.z - countScalarProduct(countDifferenceProduct(b030, b300), normalN1) * normalN1.z) / 3); |
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b120 = new Coordinate((2 * b030.x + b300.x - countScalarProduct(countDifferenceProduct(b300, b030), normalN2) |
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* normalN2.x) / 3, (2 * b030.y + b300.y - countScalarProduct( |
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countDifferenceProduct(b300, b030), normalN2) |
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* normalN2.y) / 3,
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(2 * b030.z + b300.z - countScalarProduct(countDifferenceProduct(b300, b030), normalN2) * normalN2.z) / 3); |
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b021 = new Coordinate((2 * b030.x + b003.x - countScalarProduct(countDifferenceProduct(b003, b030), normalN2) |
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* normalN2.x) / 3, (2 * b030.y + b003.y - countScalarProduct( |
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countDifferenceProduct(b003, b030), normalN2) |
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* normalN2.y) / 3,
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(2 * b030.z + b003.z - countScalarProduct(countDifferenceProduct(b003, b030), normalN2) * normalN2.z) / 3); |
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b012 = new Coordinate((2 * b003.x + b030.x - countScalarProduct(countDifferenceProduct(b030, b003), normalN3) |
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* normalN3.x) / 3, (2 * b003.y + b030.y - countScalarProduct( |
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countDifferenceProduct(b030, b003), normalN3) |
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* normalN3.y) / 3,
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(2 * b003.z + b030.z - countScalarProduct(countDifferenceProduct(b030, b003), normalN3) * normalN3.z) / 3); |
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b201 = new Coordinate((2 * b300.x + b003.x - countScalarProduct(countDifferenceProduct(b003, b300), normalN1) |
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* normalN1.x) / 3, (2 * b300.y + b003.y - countScalarProduct( |
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countDifferenceProduct(b003, b300), normalN1) |
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* normalN1.y) / 3,
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(2 * b300.z + b003.z - countScalarProduct(countDifferenceProduct(b003, b300), normalN1) * normalN1.z) / 3); |
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b102 = new Coordinate((2 * b003.x + b300.x - countScalarProduct(countDifferenceProduct(b300, b003), normalN3) |
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* normalN3.x) / 3, (2 * b003.y + b300.y - countScalarProduct( |
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countDifferenceProduct(b300, b003), normalN3) |
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* normalN3.y) / 3,
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(2 * b003.z + b300.z - countScalarProduct(countDifferenceProduct(b300, b003), normalN3) * normalN3.z) / 3); |
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break;
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} |
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case (0): { |
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b210 = new Coordinate((2 * b300.x + b030.x) / 3, (2 * b300.y + b030.y) / 3, (2 * b300.z + b030.z) / 3); |
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|
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b120 = new Coordinate((2 * b030.x + b300.x) / 3, (2 * b030.y + b300.y) / 3, (2 * b030.z + b300.z) / 3); |
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|
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b021 = new Coordinate((2 * b030.x + b003.x - countScalarProduct(countDifferenceProduct(b003, b030), normalN2) |
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* normalN2.x) / 3, (2 * b030.y + b003.y - countScalarProduct( |
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countDifferenceProduct(b003, b030), normalN2) |
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* normalN2.y) / 3,
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(2 * b030.z + b003.z - countScalarProduct(countDifferenceProduct(b003, b030), normalN2) * normalN2.z) / 3); |
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|
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b012 = new Coordinate((2 * b003.x + b030.x - countScalarProduct(countDifferenceProduct(b030, b003), normalN3) |
| 433 |
* normalN3.x) / 3, (2 * b003.y + b030.y - countScalarProduct( |
| 434 |
countDifferenceProduct(b030, b003), normalN3) |
| 435 |
* normalN3.y) / 3,
|
| 436 |
(2 * b003.z + b030.z - countScalarProduct(countDifferenceProduct(b030, b003), normalN3) * normalN3.z) / 3); |
| 437 |
|
| 438 |
b201 = new Coordinate((2 * b300.x + b003.x - countScalarProduct(countDifferenceProduct(b003, b300), normalN1) |
| 439 |
* normalN1.x) / 3, (2 * b300.y + b003.y - countScalarProduct( |
| 440 |
countDifferenceProduct(b003, b300), normalN1) |
| 441 |
* normalN1.y) / 3,
|
| 442 |
(2 * b300.z + b003.z - countScalarProduct(countDifferenceProduct(b003, b300), normalN1) * normalN1.z) / 3); |
| 443 |
|
| 444 |
b102 = new Coordinate((2 * b003.x + b300.x - countScalarProduct(countDifferenceProduct(b300, b003), normalN3) |
| 445 |
* normalN3.x) / 3, (2 * b003.y + b300.y - countScalarProduct( |
| 446 |
countDifferenceProduct(b300, b003), normalN3) |
| 447 |
* normalN3.y) / 3,
|
| 448 |
(2 * b003.z + b300.z - countScalarProduct(countDifferenceProduct(b300, b003), normalN3) * normalN3.z) / 3); |
| 449 |
break;
|
| 450 |
} |
| 451 |
case (1): { |
| 452 |
b210 = new Coordinate((2 * b300.x + b030.x - countScalarProduct(countDifferenceProduct(b030, b300), normalN1) |
| 453 |
* normalN1.x) / 3, (2 * b300.y + b030.y - countScalarProduct( |
| 454 |
countDifferenceProduct(b030, b300), normalN1) |
| 455 |
* normalN1.y) / 3,
|
| 456 |
(2 * b300.z + b030.z - countScalarProduct(countDifferenceProduct(b030, b300), normalN1) * normalN1.z) / 3); |
| 457 |
|
| 458 |
b120 = new Coordinate((2 * b030.x + b300.x - countScalarProduct(countDifferenceProduct(b300, b030), normalN2) |
| 459 |
* normalN2.x) / 3, (2 * b030.y + b300.y - countScalarProduct( |
| 460 |
countDifferenceProduct(b300, b030), normalN2) |
| 461 |
* normalN2.y) / 3,
|
| 462 |
(2 * b030.z + b300.z - countScalarProduct(countDifferenceProduct(b300, b030), normalN2) * normalN2.z) / 3); |
| 463 |
|
| 464 |
b021 = new Coordinate((2 * b030.x + b003.x) / 3, (2 * b030.y + b003.y) / 3, (2 * b030.z + b003.z) / 3); |
| 465 |
|
| 466 |
b012 = new Coordinate((2 * b003.x + b030.x) / 3, (2 * b003.y + b030.y) / 3, (2 * b003.z + b030.z) / 3); |
| 467 |
|
| 468 |
b201 = new Coordinate((2 * b300.x + b003.x - countScalarProduct(countDifferenceProduct(b003, b300), normalN1) |
| 469 |
* normalN1.x) / 3, (2 * b300.y + b003.y - countScalarProduct( |
| 470 |
countDifferenceProduct(b003, b300), normalN1) |
| 471 |
* normalN1.y) / 3,
|
| 472 |
(2 * b300.z + b003.z - countScalarProduct(countDifferenceProduct(b003, b300), normalN1) * normalN1.z) / 3); |
| 473 |
|
| 474 |
b102 = new Coordinate((2 * b003.x + b300.x - countScalarProduct(countDifferenceProduct(b300, b003), normalN3) |
| 475 |
* normalN3.x) / 3, (2 * b003.y + b300.y - countScalarProduct( |
| 476 |
countDifferenceProduct(b300, b003), normalN3) |
| 477 |
* normalN3.y) / 3,
|
| 478 |
(2 * b003.z + b300.z - countScalarProduct(countDifferenceProduct(b300, b003), normalN3) * normalN3.z) / 3); |
| 479 |
break;
|
| 480 |
} |
| 481 |
case (2): { |
| 482 |
b210 = new Coordinate((2 * b300.x + b030.x - countScalarProduct(countDifferenceProduct(b030, b300), normalN1) |
| 483 |
* normalN1.x) / 3, (2 * b300.y + b030.y - countScalarProduct( |
| 484 |
countDifferenceProduct(b030, b300), normalN1) |
| 485 |
* normalN1.y) / 3,
|
| 486 |
(2 * b300.z + b030.z - countScalarProduct(countDifferenceProduct(b030, b300), normalN1) * normalN1.z) / 3); |
| 487 |
|
| 488 |
b120 = new Coordinate((2 * b030.x + b300.x - countScalarProduct(countDifferenceProduct(b300, b030), normalN2) |
| 489 |
* normalN2.x) / 3, (2 * b030.y + b300.y - countScalarProduct( |
| 490 |
countDifferenceProduct(b300, b030), normalN2) |
| 491 |
* normalN2.y) / 3,
|
| 492 |
(2 * b030.z + b300.z - countScalarProduct(countDifferenceProduct(b300, b030), normalN2) * normalN2.z) / 3); |
| 493 |
|
| 494 |
b021 = new Coordinate((2 * b030.x + b003.x - countScalarProduct(countDifferenceProduct(b003, b030), normalN2) |
| 495 |
* normalN2.x) / 3, (2 * b030.y + b003.y - countScalarProduct( |
| 496 |
countDifferenceProduct(b003, b030), normalN2) |
| 497 |
* normalN2.y) / 3,
|
| 498 |
(2 * b030.z + b003.z - countScalarProduct(countDifferenceProduct(b003, b030), normalN2) * normalN2.z) / 3); |
| 499 |
|
| 500 |
b012 = new Coordinate((2 * b003.x + b030.x - countScalarProduct(countDifferenceProduct(b030, b003), normalN3) |
| 501 |
* normalN3.x) / 3, (2 * b003.y + b030.y - countScalarProduct( |
| 502 |
countDifferenceProduct(b030, b003), normalN3) |
| 503 |
* normalN3.y) / 3,
|
| 504 |
(2 * b003.z + b030.z - countScalarProduct(countDifferenceProduct(b030, b003), normalN3) * normalN3.z) / 3); |
| 505 |
|
| 506 |
b201 = new Coordinate((2 * b300.x + b003.x) / 3, (2 * b300.y + b003.y) / 3, (2 * b300.z + b003.z) / 3); |
| 507 |
|
| 508 |
b102 = new Coordinate((2 * b003.x + b300.x) / 3, (2 * b003.y + b300.y) / 3, (2 * b003.z + b300.z) / 3); |
| 509 |
break;
|
| 510 |
} |
| 511 |
case (3): { |
| 512 |
b210 = new Coordinate((2 * b300.x + b030.x) / 3, (2 * b300.y + b030.y) / 3, (2 * b300.z + b030.z) / 3); |
| 513 |
|
| 514 |
b120 = new Coordinate((2 * b030.x + b300.x) / 3, (2 * b030.y + b300.y) / 3, (2 * b030.z + b300.z) / 3); |
| 515 |
|
| 516 |
b021 = new Coordinate((2 * b030.x + b003.x - countScalarProduct(countDifferenceProduct(b003, b030), normalN2) |
| 517 |
* normalN2.x) / 3, (2 * b030.y + b003.y - countScalarProduct( |
| 518 |
countDifferenceProduct(b003, b030), normalN2) |
| 519 |
* normalN2.y) / 3,
|
| 520 |
(2 * b030.z + b003.z - countScalarProduct(countDifferenceProduct(b003, b030), normalN2) * normalN2.z) / 3); |
| 521 |
|
| 522 |
b012 = new Coordinate((2 * b003.x + b030.x - countScalarProduct(countDifferenceProduct(b030, b003), normalN3) |
| 523 |
* normalN3.x) / 3, (2 * b003.y + b030.y - countScalarProduct( |
| 524 |
countDifferenceProduct(b030, b003), normalN3) |
| 525 |
* normalN3.y) / 3,
|
| 526 |
(2 * b003.z + b030.z - countScalarProduct(countDifferenceProduct(b030, b003), normalN3) * normalN3.z) / 3); |
| 527 |
|
| 528 |
b201 = new Coordinate((2 * b300.x + b003.x) / 3, (2 * b300.y + b003.y) / 3, (2 * b300.z + b003.z) / 3); |
| 529 |
|
| 530 |
b102 = new Coordinate((2 * b003.x + b300.x) / 3, (2 * b003.y + b300.y) / 3, (2 * b003.z + b300.z) / 3); |
| 531 |
break;
|
| 532 |
} |
| 533 |
|
| 534 |
case (5): { |
| 535 |
b210 = new Coordinate((2 * b300.x + b030.x - countScalarProduct(countDifferenceProduct(b030, b300), normalN1) |
| 536 |
* normalN1.x) / 3, (2 * b300.y + b030.y - countScalarProduct( |
| 537 |
countDifferenceProduct(b030, b300), normalN1) |
| 538 |
* normalN1.y) / 3,
|
| 539 |
(2 * b300.z + b030.z - countScalarProduct(countDifferenceProduct(b030, b300), normalN1) * normalN1.z) / 3); |
| 540 |
|
| 541 |
b120 = new Coordinate((2 * b030.x + b300.x - countScalarProduct(countDifferenceProduct(b300, b030), normalN2) |
| 542 |
* normalN2.x) / 3, (2 * b030.y + b300.y - countScalarProduct( |
| 543 |
countDifferenceProduct(b300, b030), normalN2) |
| 544 |
* normalN2.y) / 3,
|
| 545 |
(2 * b030.z + b300.z - countScalarProduct(countDifferenceProduct(b300, b030), normalN2) * normalN2.z) / 3); |
| 546 |
|
| 547 |
b021 = new Coordinate((2 * b030.x + b003.x) / 3, (2 * b030.y + b003.y) / 3, (2 * b030.z + b003.z) / 3); |
| 548 |
|
| 549 |
b012 = new Coordinate((2 * b003.x + b030.x) / 3, (2 * b003.y + b030.y) / 3, (2 * b003.z + b030.z) / 3); |
| 550 |
|
| 551 |
b201 = new Coordinate((2 * b300.x + b003.x) / 3, (2 * b300.y + b003.y) / 3, (2 * b300.z + b003.z) / 3); |
| 552 |
|
| 553 |
b102 = new Coordinate((2 * b003.x + b300.x) / 3, (2 * b003.y + b300.y) / 3, (2 * b003.z + b300.z) / 3); |
| 554 |
break;
|
| 555 |
} |
| 556 |
case (4): { |
| 557 |
b210 = new Coordinate((2 * b300.x + b030.x) / 3, (2 * b300.y + b030.y) / 3, (2 * b300.z + b030.z) / 3); |
| 558 |
|
| 559 |
b120 = new Coordinate((2 * b030.x + b300.x) / 3, (2 * b030.y + b300.y) / 3, (2 * b030.z + b300.z) / 3); |
| 560 |
|
| 561 |
b021 = new Coordinate((2 * b030.x + b003.x) / 3, (2 * b030.y + b003.y) / 3, (2 * b030.z + b003.z) / 3); |
| 562 |
|
| 563 |
b012 = new Coordinate((2 * b003.x + b030.x) / 3, (2 * b003.y + b030.y) / 3, (2 * b003.z + b030.z) / 3); |
| 564 |
|
| 565 |
b201 = new Coordinate((2 * b300.x + b003.x - countScalarProduct(countDifferenceProduct(b003, b300), normalN1) |
| 566 |
* normalN1.x) / 3, (2 * b300.y + b003.y - countScalarProduct( |
| 567 |
countDifferenceProduct(b003, b300), normalN1) |
| 568 |
* normalN1.y) / 3,
|
| 569 |
(2 * b300.z + b003.z - countScalarProduct(countDifferenceProduct(b003, b300), normalN1) * normalN1.z) / 3); |
| 570 |
|
| 571 |
b102 = new Coordinate((2 * b003.x + b300.x - countScalarProduct(countDifferenceProduct(b300, b003), normalN3) |
| 572 |
* normalN3.x) / 3, (2 * b003.y + b300.y - countScalarProduct( |
| 573 |
countDifferenceProduct(b300, b003), normalN3) |
| 574 |
* normalN3.y) / 3,
|
| 575 |
(2 * b003.z + b300.z - countScalarProduct(countDifferenceProduct(b300, b003), normalN3) * normalN3.z) / 3); |
| 576 |
break;
|
| 577 |
} |
| 578 |
case (6): { |
| 579 |
b210 = new Coordinate((2 * b300.x + b030.x) / 3, (2 * b300.y + b030.y) / 3, (2 * b300.z + b030.z) / 3); |
| 580 |
|
| 581 |
b120 = new Coordinate((2 * b030.x + b300.x) / 3, (2 * b030.y + b300.y) / 3, (2 * b030.z + b300.z) / 3); |
| 582 |
|
| 583 |
b021 = new Coordinate((2 * b030.x + b003.x) / 3, (2 * b030.y + b003.y) / 3, (2 * b030.z + b003.z) / 3); |
| 584 |
|
| 585 |
b012 = new Coordinate((2 * b003.x + b030.x) / 3, (2 * b003.y + b030.y) / 3, (2 * b003.z + b030.z) / 3); |
| 586 |
|
| 587 |
b201 = new Coordinate((2 * b300.x + b003.x) / 3, (2 * b300.y + b003.y) / 3, (2 * b300.z + b003.z) / 3); |
| 588 |
|
| 589 |
b102 = new Coordinate((2 * b003.x + b300.x) / 3, (2 * b003.y + b300.y) / 3, (2 * b003.z + b300.z) / 3); |
| 590 |
} |
| 591 |
} |
| 592 |
|
| 593 |
|
| 594 |
G = new Coordinate((b300.x + b030.x + b003.x) / 3, (b300.y + b030.y + b003.y) / 3, (b300.z + b030.z + b003.z) / 3); |
| 595 |
final Coordinate normalOfT = new Coordinate(0, 0, 1); |
| 596 |
|
| 597 |
A111 = new Coordinate((b300.x + b030.x + G.x) / 3, (b300.y + b030.y + G.y) / 3, (b300.z + b030.z + G.z) / 3); |
| 598 |
|
| 599 |
Coordinate e1 = normalizeVect(getNormal(1D / 2D, 0D)); |
| 600 |
Coordinate e2 = normalizeVect(countDifferenceProduct(b120, b210)); |
| 601 |
Coordinate normalOfPlane = setNormalVector(countCrossProduct(e1, e2), e2); |
| 602 |
|
| 603 |
A111 = new Coordinate(countProjectOnToPlane(b120, normalOfPlane, A111, normalOfT));//getNormal(4D/9D, 1D/9D))); |
| 604 |
|
| 605 |
B111 = new Coordinate((b003.x + b030.x + G.x) / 3, (b003.y + b030.y + G.y) / 3, (b003.z + b030.z + G.z) / 3); |
| 606 |
|
| 607 |
e1 = normalizeVect(getNormal(1D / 2D, 1D / 2D)); |
| 608 |
e2 = normalizeVect(countDifferenceProduct(b012, b021)); |
| 609 |
normalOfPlane = setNormalVector(countCrossProduct(e1, e2), e2); |
| 610 |
B111 = new Coordinate(countProjectOnToPlane(b012, normalOfPlane, B111, normalOfT));//getNormal(4D/9D, 4D/9D))); |
| 611 |
|
| 612 |
|
| 613 |
C111 = new Coordinate((b003.x + b300.x + G.x) / 3, (b003.y + b300.y + G.y) / 3, (b003.z + b300.z + G.z) / 3); |
| 614 |
|
| 615 |
e1 = normalizeVect(getNormal(0, 1 / 2D)); |
| 616 |
e2 = normalizeVect(countDifferenceProduct(b201, b102)); |
| 617 |
normalOfPlane = setNormalVector(countCrossProduct(e1, e2), e2); |
| 618 |
C111 = new Coordinate(countProjectOnToPlane(b201, normalOfPlane, C111, normalOfT));//getNormal(1D/9D, 4D/9D))); |
| 619 |
|
| 620 |
|
| 621 |
A201 = new Coordinate((b300.x + b210.x + b201.x) / 3, (b300.y + b210.y + b201.y) / 3, (b300.z + b210.z + b201.z) / 3); |
| 622 |
A021 = new Coordinate((b030.x + b120.x + b021.x) / 3, (b030.y + b120.y + b021.y) / 3, (b030.z + b120.z + b021.z) / 3); |
| 623 |
B102 = new Coordinate((b012.x + b102.x + b003.x) / 3, (b012.y + b102.y + b003.y) / 3, (b012.z + b102.z + b003.z) / 3); |
| 624 |
|
| 625 |
A102 = new Coordinate((A111.x + A201.x + C111.x) / 3, (A111.y + A201.y + C111.y) / 3, (A111.z + A201.z + C111.z) / 3); |
| 626 |
A012 = new Coordinate((B111.x + A021.x + A111.x) / 3, (B111.y + A021.y + A111.y) / 3, (B111.z + A021.z + A111.z) / 3); |
| 627 |
B201 = new Coordinate((C111.x + B111.x + B102.x) / 3, (C111.y + B111.y + B102.y) / 3, (C111.z + B111.z + B102.z) / 3); |
| 628 |
|
| 629 |
G = new Coordinate((A102.x + A012.x + B201.x) / 3, (A102.y + A012.y + B201.y) / 3, (A102.z + A012.z + B201.z) / 3); |
| 630 |
} |
| 631 |
|
| 632 |
|
| 633 |
/******************************************************************************************************************************
|
| 634 |
* The method to print Bezier triangle to console
|
| 635 |
*/
|
| 636 |
protected void printToConsole() { |
| 637 |
System.out.println("=========MACRO TRIANGLE============================="); |
| 638 |
System.out.println(b300.toString());
|
| 639 |
System.out.println(b030.toString());
|
| 640 |
System.out.println(b003.toString());
|
| 641 |
System.out.println("Normals:"); |
| 642 |
if (normalN1 != null) { |
| 643 |
System.out.println(normalN1.toString());
|
| 644 |
System.out.println(normalN2.toString());
|
| 645 |
System.out.println(normalN3.toString());
|
| 646 |
System.out.println("Koeficients"); |
| 647 |
|
| 648 |
System.out.println(b012.toString());
|
| 649 |
System.out.println(b021.toString());
|
| 650 |
System.out.println(b102.toString());
|
| 651 |
System.out.println(b120.toString());
|
| 652 |
System.out.println(b210.toString());
|
| 653 |
System.out.println(b201.toString());
|
| 654 |
//System.out.println(b111.toString());
|
| 655 |
|
| 656 |
} |
| 657 |
System.out.println("======================================"); |
| 658 |
} |
| 659 |
|
| 660 |
|
| 661 |
/******************************************************************************************************************************
|
| 662 |
* The protected method for getting envelope of triangle
|
| 663 |
*
|
| 664 |
* @return envelope of triangle
|
| 665 |
*/
|
| 666 |
protected Envelope getEnvelope() {
|
| 667 |
final Coordinate[] newPoint = new Coordinate[4]; |
| 668 |
newPoint[0] = b003;
|
| 669 |
newPoint[1] = b030;
|
| 670 |
newPoint[2] = b300;
|
| 671 |
newPoint[3] = b003;
|
| 672 |
final CoordinateArraySequence newPointsTriangle = new CoordinateArraySequence(newPoint); |
| 673 |
|
| 674 |
final LinearRing trianglesPoints = new LinearRing(newPointsTriangle, new GeometryFactory()); |
| 675 |
|
| 676 |
return trianglesPoints.getEnvelopeInternal();
|
| 677 |
} |
| 678 |
|
| 679 |
|
| 680 |
/******************************************************************************************************************************
|
| 681 |
* The protected method gets normal into Bezier triangle with barycentric coordinate
|
| 682 |
*
|
| 683 |
* @param u -
|
| 684 |
* barycentric coordinate u
|
| 685 |
* @param v -
|
| 686 |
* barycentric coordinate u
|
| 687 |
* @return normal of surface
|
| 688 |
*/
|
| 689 |
protected Bezier getBezierPatch(final int index) { |
| 690 |
switch (index) {
|
| 691 |
case 0: { |
| 692 |
return new Bezier(b300, b030, G, b210, b120, A021, A012, A102, A201, A111); |
| 693 |
} |
| 694 |
case 1: { |
| 695 |
return new Bezier(b030, b003, G, b021, b012, B102, B201, A012, A021, B111); |
| 696 |
} |
| 697 |
case 2: { |
| 698 |
return new Bezier(b003, b300, G, b102, b201, A201, A102, B201, B102, C111); |
| 699 |
} |
| 700 |
} |
| 701 |
return null; |
| 702 |
} |
| 703 |
} |