Mercurial > dive4elements > gnv-client

annotate gnv-artifacts/src/main/java/de/intevation/gnv/math/Interpolation2D.java @ 1145:dfe1ac687c7f tip

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added tags
author Thomas Arendsen Hein <thomas@intevation.de>
date Fri, 28 Sep 2012 12:16:15 +0200
parents f953c9a559d8
children
rev   line source
1115
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1 /*
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2 * Copyright (c) 2010 by Intevation GmbH
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3 *
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4 * This program is free software under the LGPL (>=v2.1)
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5 * Read the file LGPL.txt coming with the software for details
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6 * or visit http://www.gnu.org/licenses/ if it does not exist.
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7 */
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8
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9 package de.intevation.gnv.math;
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10
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11 import com.vividsolutions.jts.geom.Coordinate;
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12 import com.vividsolutions.jts.geom.Envelope;
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13
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14 import com.vividsolutions.jts.index.strtree.STRtree;
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15
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16 import java.util.List;
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17
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18 import org.apache.log4j.Logger;
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19
361
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20 /**
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21 * Interpolates along a given line string. This used to generate
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22 * "horizontale Schnittprofile".
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23 *
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24 * @author <a href="mailto:sascha.teichmann@intevation.de">Sascha L. Teichmann</a>
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25 */
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26 public final class Interpolation2D
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27 {
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28 private static Logger log = Logger.getLogger(Interpolation2D.class);
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29
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30 /**
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31 * If the number of input points are over this threshold
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32 * some culling strategies are applied to reduce the amount of points.
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33 */
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34 public static final int CULL_POINT_THRESHOLD = Integer.getInteger(
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35 "gnv.interpolation2d.cull.point.threshold", 1000);
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36
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37 /**
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38 * Numerical stability epsilon.
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39 */
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40 public static final double EPS = 1e-6d;
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41
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42 /**
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43 * Callback to send the interpolated values back to the
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44 * caller without building large temporary strcutures.
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45 */
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46 public interface Consumer {
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47 /**
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48 * Sends an interpolated point back to the called.
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49 * The interpolated parameter is stored in the z component.
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50 * @param point The interpolated point.
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51 * @param success true if interpolation at the point
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52 * succeed, else false.
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53 */
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54 void interpolated(Coordinate point, boolean success);
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55 } // interface Consumer
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56
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57 private Interpolation2D() {
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58 }
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59
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60 /**
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61 * Calculates the relevant area for a given line string.
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62 * @param path The line string.
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63 * @param points The sample points.
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64 * @return The relevant area.
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65 */
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66 public static final Envelope relevantArea(
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67 List<? extends Coordinate> path,
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68 List<? extends Coordinate> points
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69 ) {
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70 return relevantArea(path, points, CULL_POINT_THRESHOLD);
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71 }
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72
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73 /**
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74 * Calculates the relevant area for a given bounding box.
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75 * @param pathBBox The bounding box.
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76 * @param points The sample points.
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77 * @return The relevant area.
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78 */
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79 public static final Envelope relevantArea(
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80 Envelope pathBBox,
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81 List<? extends Coordinate> points
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82 ) {
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83 return relevantArea(pathBBox, points, CULL_POINT_THRESHOLD);
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84 }
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85
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86 /**
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87 * Calculates the relevant area for a given bounding box.
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88 * @param pathBBox The bounding box.
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89 * @param points The sample points.
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90 * @param threshold If the number of sample points
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91 * are below this threshold no relevant area is calculated.
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92 * @return The relevant area.
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93 */
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94 public static final Envelope relevantArea(
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95 Envelope pathBBox,
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96 List<? extends Coordinate> points,
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97 int threshold
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98 ) {
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99 return points.size() < threshold
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100 ? null
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101 : relevantArea(
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102 pathBBox,
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103 pointsBoundingBox(points));
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104 }
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105
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106 /**
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107 * Calculates the relevant area for a given line string.
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108 * @param path The line string.
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109 * @param points The sample points.
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110 * @param threshold If the number of sample points
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111 * are below this threshold no relevant area is calculated.
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112 * @return The relevant area.
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113 */
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114 public static final Envelope relevantArea(
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115 List<? extends Coordinate> path,
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116 List<? extends Coordinate> points,
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117 int threshold
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118 ) {
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119 return points.size() < threshold || path.isEmpty()
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120 ? null
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121 : relevantArea(
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122 pointsBoundingBox(path),
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123 pointsBoundingBox(points));
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124 }
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125
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126 /**
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127 * Heuristic function to define a 'relevant area'.
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128 * @param pathBBox The bounding box of the line line string.
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129 * @param pointsBBox The bounding box of the sample points.
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130 * @return The relevant area.
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131 */
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132 public static final Envelope relevantArea(
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133 Envelope pathBBox,
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134 Envelope pointsBBox
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135 ) {
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136 double pathArea = pathBBox.getWidth()*pathBBox.getHeight();
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137 double pointsArea = pointsBBox.getWidth()*pointsBBox.getHeight();
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138
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139 if (pathArea > 0.8d*pointsArea) { return null; }
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140
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141 double nArea = 1.44d * pathArea;
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142 if (nArea < 0.1d*pointsArea) nArea = 0.1d*pointsArea;
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143 double w = pathBBox.getWidth();
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144 double h = pathBBox.getHeight();
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145 double [] d = solveQuadratic(1d, w+h, pathArea - nArea);
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146
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147 if (d == null) { return null; }
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148
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149 double extra = pos(d);
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150
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151 pathBBox.expandBy(extra);
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152
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153 return pathBBox;
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154 }
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155
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156 /**
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157 * Solves quadratic equation a*x*x + b*x + c = 0.
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158 * @param a a-coefficent.
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159 * @param b b-coefficent
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160 * @param c c-coefficent.
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161 * @return the solution of the equation, or null if not solvable.
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162 */
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163 public static final double [] solveQuadratic(
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164 double a, double b, double c
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165 ) {
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166 double d = b*b - 4d*a*c;
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167 if (d < 0d) { return null; }
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168
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169 d = Math.sqrt(d);
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170 a = 1d/(2d*a);
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171 b = -b;
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172
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173 return new double [] { a*(b + d), a*(b - d) };
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174 }
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175
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176 /**
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177 * Return the element of a two element array which
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178 * is greater or equal zero.
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179 * @param x The two values.
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180 * @return The value which is greater or equal zero.
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181 */
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182 public static final double pos(double [] x) {
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183 return x[0] >= 0 ? x[0] : x[1];
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184 }
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185
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186
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187 /**
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188 * Calculates the bounding box of a given line string.
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189 * @param path The line string.
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190 * @return The bounding box.
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191 */
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192 public static Envelope pointsBoundingBox(
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193 List<? extends Coordinate> path
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194 ) {
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195 int N = path.size();
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196 Envelope area = new Envelope(path.get(N-1));
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197
519
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198 for (int i = N-2; i >= 0; --i) {
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199 area.expandToInclude(path.get(i));
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200 }
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201
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202 return area;
431
422275fc9927 Refactored the XYColumn and Point2d code a bit to be more reusable in 3D.
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203 }
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204
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205 /**
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206 * Interpolates linearly a number of coordinates and parameter values along
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207 * a given line string path. The results are issued to a consumer.
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208 * @param path The line string path.
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209 * @param points The sample points.
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210 * @param from Start point as a scalar value linear
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211 * referenced on the line string.
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212 * @param to End point of as a scalar value linear
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213 * referenced on the line string.
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214 * @param steps Number of points to be interpolated.
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215 * @param metrics The used metric.
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216 * @param consumer The callback to retrieve the result points.
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217 */
361
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218 public static void interpolate(
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219 List<? extends Coordinate> path,
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220 List<? extends Point2d> points,
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221 double from,
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222 double to,
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223 int steps,
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224 Metrics metrics,
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225 Consumer consumer
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226 ) {
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227 boolean debug = log.isDebugEnabled();
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228
361
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229 int N = path.size();
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230 int M = points.size();
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231
434
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diff changeset
232 if (debug) {
416
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233 log.debug("Size of path: " + N);
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234 log.debug("Size of points: " + M);
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235 }
365
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236
361
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237 if (M < 1 || N < 2) { // nothing to do
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238 return;
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239 }
365
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240
519
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241 List<GridCell> cells = GridCell.pointsToGridCells(
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242 points, relevantArea(path, points));
365
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243
519
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diff changeset
244 if (cells.isEmpty()) {
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245 log.warn("no cells found");
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246 return;
416
04a242c67fe6 Added support of gap detection in horizontalcrossprofile charts.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 366
diff changeset
247 }
361
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
248
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
249 // put into spatial index to speed up finding neighbors.
519
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parents: 514
diff changeset
250 STRtree spatialIndex = new STRtree();
361
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
251
519
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parents: 514
diff changeset
252 for (GridCell cell: cells) {
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parents: 514
diff changeset
253 spatialIndex.insert(cell.getEnvelope(), cell);
361
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
254 }
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
255
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
256 LinearToMap linearToMap = new LinearToMap(
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
257 path, from, to, metrics);
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
258
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
259 double dP = (to - from)/steps;
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parents:
diff changeset
260
519
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parents: 514
diff changeset
261 Coordinate center = new Coordinate();
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parents: 514
diff changeset
262 Envelope queryBuffer = new Envelope();
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
263 GridCell.CellFinder finder = new GridCell.CellFinder();
361
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
264
365
f66088a43ecc Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 361
diff changeset
265 int missedInterpolations = 0;
519
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
266 int interpolations = 0;
474
ab29e4ff2fda Added area interpolation needed for "Horizontalschnitt"
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 445
diff changeset
267
365
f66088a43ecc Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 361
diff changeset
268 for (double p = from; p <= to; p += dP) {
361
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
269 if (!linearToMap.locate(p, center)) {
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
270 continue;
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
271 }
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
272 queryBuffer.init(
778
9a828e5a2390 Removed trailing whitespace
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 528
diff changeset
273 center.x - EPS, center.x + EPS,
519
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
274 center.y - EPS, center.y + EPS);
361
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parents:
diff changeset
275
519
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parents: 514
diff changeset
276 finder.prepare(center);
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parents: 514
diff changeset
277 spatialIndex.query(queryBuffer, finder);
361
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parents:
diff changeset
278
519
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parents: 514
diff changeset
279 GridCell found = finder.found;
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parents: 514
diff changeset
280
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parents: 514
diff changeset
281 if (found == null) {
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parents: 514
diff changeset
282 consumer.interpolated(center, false);
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
283 ++missedInterpolations;
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
284 continue;
361
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
285 }
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
286
519
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parents: 514
diff changeset
287 Point2d n0 = found.p1;
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parents: 514
diff changeset
288 Point2d n1 = found.p2;
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parents: 514
diff changeset
289 Point2d n2 = found.p3;
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
290 Point2d n3 = found.p4;
361
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
291
519
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
292 double z1 = interpolate(
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parents: 514
diff changeset
293 n0.x, n0.z,
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parents: 514
diff changeset
294 n1.x, n1.z,
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
295 center.x);
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parents: 514
diff changeset
296 double z2 = interpolate(
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
297 n2.x, n2.z,
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
298 n3.x, n3.z,
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
299 center.x);
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
300 double y1 = interpolate(
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
301 n0.x, n0.y,
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
302 n1.x, n1.y,
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
303 center.x);
4e347624ee7c Last part to fix gnv/issue153. Now 'Profilschnitte', 'Horizontalschnitte' and 'horizontale Schnittprofile'
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
304 double y2 = interpolate(
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
305 n2.x, n2.y,
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
306 n3.x, n3.y,
4e347624ee7c Last part to fix gnv/issue153. Now 'Profilschnitte', 'Horizontalschnitte' and 'horizontale Schnittprofile'
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
307 center.x);
4e347624ee7c Last part to fix gnv/issue153. Now 'Profilschnitte', 'Horizontalschnitte' and 'horizontale Schnittprofile'
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
308 center.z = interpolate(
4e347624ee7c Last part to fix gnv/issue153. Now 'Profilschnitte', 'Horizontalschnitte' and 'horizontale Schnittprofile'
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
309 y1, z1,
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
310 y2, z2,
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
311 center.y);
4e347624ee7c Last part to fix gnv/issue153. Now 'Profilschnitte', 'Horizontalschnitte' and 'horizontale Schnittprofile'
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
312 consumer.interpolated(center, true);
4e347624ee7c Last part to fix gnv/issue153. Now 'Profilschnitte', 'Horizontalschnitte' and 'horizontale Schnittprofile'
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
313 ++interpolations;
361
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
314 }
365
f66088a43ecc Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 361
diff changeset
315
434
0eed5749fd63 Implemented the raster interpolation for the 'Profilschnitt'.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 431
diff changeset
316 if (debug) {
778
9a828e5a2390 Removed trailing whitespace
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 528
diff changeset
317 log.debug("interpolations: " +
416
04a242c67fe6 Added support of gap detection in horizontalcrossprofile charts.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 366
diff changeset
318 interpolations + " / " + missedInterpolations);
04a242c67fe6 Added support of gap detection in horizontalcrossprofile charts.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 366
diff changeset
319 }
361
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
320 }
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
321
807
a645bd23c1c8 Added more javadoc. Removed trailing whitespace.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 798
diff changeset
322 /**
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 798
diff changeset
323 * Linear interpolate a value between (x1, y1) and (x2, y2) at
a645bd23c1c8 Added more javadoc. Removed trailing whitespace.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 798
diff changeset
324 * a given x-value.
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parents: 798
diff changeset
325 * @param x1 x component of first point.
a645bd23c1c8 Added more javadoc. Removed trailing whitespace.
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parents: 798
diff changeset
326 * @param y1 y component of first point.
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 798
diff changeset
327 * @param x2 x component of second point.
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 798
diff changeset
328 * @param y2 y component of second point.
a645bd23c1c8 Added more javadoc. Removed trailing whitespace.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 798
diff changeset
329 * @param x The x value.
a645bd23c1c8 Added more javadoc. Removed trailing whitespace.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 798
diff changeset
330 * @return The intepolated result.
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 798
diff changeset
331 */
361
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
332 public static final double interpolate(
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
333 double x1, double y1,
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
334 double x2, double y2,
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
335 double x
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
336 ) {
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
337 if (x2 == x1) {
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
338 return (y1 + y2)*0.5d;
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
339 }
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
340 double m = (y2-y1)/(x2-x1);
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
341 double b = y1 - m*x1;
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
342 return m*x + b;
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
343 }
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
344 }
836
05bf8534a35a Using unix line endings only.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 807
diff changeset
345 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8 :
http://dive4elements.wald.intevation.org