Mercurial > dive4elements > gnv-client

annotate gnv-artifacts/src/main/java/de/intevation/gnv/math/Interpolation2D.java @ 528:44415ae01ddb

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Fixed issue gnv/issue159 gnv-artifacts/trunk@624 c6561f87-3c4e-4783-a992-168aeb5c3f6f
author Sascha L. Teichmann <sascha.teichmann@intevation.de>
date Mon, 25 Jan 2010 18:25:19 +0000
parents 4e347624ee7c
children 9a828e5a2390
rev   line source
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1 package de.intevation.gnv.math;
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2
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3 import com.vividsolutions.jts.geom.Coordinate;
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4 import com.vividsolutions.jts.geom.Envelope;
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5
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6 import com.vividsolutions.jts.index.strtree.STRtree;
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7
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8 import java.util.List;
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9
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10 import org.apache.log4j.Logger;
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11
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12 /**
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13 * @author Sascha L. Teichmann (sascha.teichmann@intevation.de)
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14 */
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15 public final class Interpolation2D
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16 {
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17 private static Logger log = Logger.getLogger(Interpolation2D.class);
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18
519
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19 public static final int CULL_POINT_THRESHOLD = Integer.getInteger(
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20 "gnv.interpolation2d.cull.point.threshold", 1000);
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21
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22 public static final double EPS = 1e-6d;
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23
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24 public interface Consumer {
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25 void interpolated(Coordinate point, boolean success);
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26 } // interface Consumer
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27
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28 private Interpolation2D() {
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29 }
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30
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31 public static final Envelope relevantArea(
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32 List<? extends Coordinate> path,
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33 List<? extends Coordinate> points
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34 ) {
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35 return relevantArea(path, points, CULL_POINT_THRESHOLD);
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36 }
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37
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38 public static final Envelope relevantArea(
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39 Envelope pathBBox,
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40 List<? extends Coordinate> points
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41 ) {
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42 return relevantArea(pathBBox, points, CULL_POINT_THRESHOLD);
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43 }
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44
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45 public static final Envelope relevantArea(
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46 Envelope pathBBox,
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47 List<? extends Coordinate> points,
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48 int threshold
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49 ) {
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50 return points.size() < threshold
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51 ? null
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52 : relevantArea(
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53 pathBBox,
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54 pointsBoundingBox(points));
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55 }
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56
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57 public static final Envelope relevantArea(
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58 List<? extends Coordinate> path,
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59 List<? extends Coordinate> points,
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60 int threshold
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61 ) {
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62 return points.size() < threshold || path.isEmpty()
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63 ? null
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64 : relevantArea(
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65 pointsBoundingBox(path),
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66 pointsBoundingBox(points));
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67 }
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68
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69 public static final Envelope relevantArea(
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70 Envelope pathBBox,
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71 Envelope pointsBBox
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72 ) {
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73 double pathArea = pathBBox.getWidth()*pathBBox.getHeight();
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74 double pointsArea = pointsBBox.getWidth()*pointsBBox.getHeight();
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75
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76 if (pathArea > 0.8d*pointsArea) { return null; }
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77
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78 double nArea = 1.44d * pathArea;
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79 if (nArea < 0.1d*pointsArea) nArea = 0.1d*pointsArea;
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80 double w = pathBBox.getWidth();
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81 double h = pathBBox.getHeight();
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82 double [] d = solveQuadratic(1d, w+h, pathArea - nArea);
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83
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84 if (d == null) { return null; }
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85
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86 double extra = pos(d);
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87
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88 pathBBox.expandBy(extra);
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89
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90 return pathBBox;
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91 }
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92
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93 public static final double [] solveQuadratic(
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94 double a, double b, double c
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95 ) {
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96 double d = b*b - 4d*a*c;
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97 if (d < 0d) { return null; }
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98
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99 d = Math.sqrt(d);
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100 a = 1d/(2d*a);
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101 b = -b;
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102
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103 return new double [] { a*(b + d), a*(b - d) };
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104 }
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105
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106 public static final double pos(double [] x) {
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107 return x[0] >= 0 ? x[0] : x[1];
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108 }
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109
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110
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111 public static Envelope pointsBoundingBox(
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112 List<? extends Coordinate> path
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113 ) {
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114 int N = path.size();
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115 Envelope area = new Envelope(path.get(N-1));
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116
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117 for (int i = N-2; i >= 0; --i) {
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118 area.expandToInclude(path.get(i));
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119 }
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120
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121 return area;
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122 }
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123
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124 public static void interpolate(
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125 List<? extends Coordinate> path,
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126 List<? extends Point2d> points,
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127 double from,
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128 double to,
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129 int steps,
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130 Metrics metrics,
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131 Consumer consumer
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132 ) {
434
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133 boolean debug = log.isDebugEnabled();
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134
361
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135 int N = path.size();
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136 int M = points.size();
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137
434
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diff changeset
138 if (debug) {
416
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139 log.debug("Size of path: " + N);
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140 log.debug("Size of points: " + M);
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141 }
365
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142
361
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143 if (M < 1 || N < 2) { // nothing to do
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144 return;
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145 }
365
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146
519
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147 List<GridCell> cells = GridCell.pointsToGridCells(
528
44415ae01ddb Fixed issue gnv/issue159
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148 points, relevantArea(path, points));
365
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149
519
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150 if (cells.isEmpty()) {
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151 log.warn("no cells found");
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152 return;
416
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153 }
361
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154
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155 // put into spatial index to speed up finding neighbors.
519
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156 STRtree spatialIndex = new STRtree();
361
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157
519
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diff changeset
158 for (GridCell cell: cells) {
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159 spatialIndex.insert(cell.getEnvelope(), cell);
361
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160 }
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161
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162 LinearToMap linearToMap = new LinearToMap(
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163 path, from, to, metrics);
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164
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165 double dP = (to - from)/steps;
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166
519
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diff changeset
167 Coordinate center = new Coordinate();
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diff changeset
168 Envelope queryBuffer = new Envelope();
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diff changeset
169 GridCell.CellFinder finder = new GridCell.CellFinder();
361
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170
365
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diff changeset
171 int missedInterpolations = 0;
519
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diff changeset
172 int interpolations = 0;
474
ab29e4ff2fda Added area interpolation needed for "Horizontalschnitt"
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parents: 445
diff changeset
173
365
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diff changeset
174 for (double p = from; p <= to; p += dP) {
361
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175 if (!linearToMap.locate(p, center)) {
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176 continue;
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177 }
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178 queryBuffer.init(
519
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diff changeset
179 center.x - EPS, center.x + EPS,
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diff changeset
180 center.y - EPS, center.y + EPS);
361
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181
519
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diff changeset
182 finder.prepare(center);
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diff changeset
183 spatialIndex.query(queryBuffer, finder);
361
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184
519
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parents: 514
diff changeset
185 GridCell found = finder.found;
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parents: 514
diff changeset
186
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parents: 514
diff changeset
187 if (found == null) {
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parents: 514
diff changeset
188 consumer.interpolated(center, false);
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parents: 514
diff changeset
189 ++missedInterpolations;
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parents: 514
diff changeset
190 continue;
361
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parents:
diff changeset
191 }
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parents:
diff changeset
192
519
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parents: 514
diff changeset
193 Point2d n0 = found.p1;
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parents: 514
diff changeset
194 Point2d n1 = found.p2;
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parents: 514
diff changeset
195 Point2d n2 = found.p3;
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parents: 514
diff changeset
196 Point2d n3 = found.p4;
361
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197
519
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parents: 514
diff changeset
198 double z1 = interpolate(
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parents: 514
diff changeset
199 n0.x, n0.z,
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parents: 514
diff changeset
200 n1.x, n1.z,
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parents: 514
diff changeset
201 center.x);
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parents: 514
diff changeset
202 double z2 = interpolate(
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parents: 514
diff changeset
203 n2.x, n2.z,
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parents: 514
diff changeset
204 n3.x, n3.z,
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 514
diff changeset
205 center.x);
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parents: 514
diff changeset
206 double y1 = interpolate(
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parents: 514
diff changeset
207 n0.x, n0.y,
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parents: 514
diff changeset
208 n1.x, n1.y,
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parents: 514
diff changeset
209 center.x);
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parents: 514
diff changeset
210 double y2 = interpolate(
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parents: 514
diff changeset
211 n2.x, n2.y,
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parents: 514
diff changeset
212 n3.x, n3.y,
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parents: 514
diff changeset
213 center.x);
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parents: 514
diff changeset
214 center.z = interpolate(
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parents: 514
diff changeset
215 y1, z1,
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parents: 514
diff changeset
216 y2, z2,
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parents: 514
diff changeset
217 center.y);
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parents: 514
diff changeset
218 consumer.interpolated(center, true);
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parents: 514
diff changeset
219 ++interpolations;
361
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
220 }
365
f66088a43ecc Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 361
diff changeset
221
434
0eed5749fd63 Implemented the raster interpolation for the 'Profilschnitt'.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 431
diff changeset
222 if (debug) {
416
04a242c67fe6 Added support of gap detection in horizontalcrossprofile charts.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 366
diff changeset
223 log.debug("interpolations: " +
04a242c67fe6 Added support of gap detection in horizontalcrossprofile charts.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 366
diff changeset
224 interpolations + " / " + missedInterpolations);
04a242c67fe6 Added support of gap detection in horizontalcrossprofile charts.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 366
diff changeset
225 }
361
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
226 }
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
227
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
228 public static final double interpolate(
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parents:
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229 double x1, double y1,
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230 double x2, double y2,
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231 double x
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232 ) {
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233 if (x2 == x1) {
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234 return (y1 + y2)*0.5d;
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235 }
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236 double m = (y2-y1)/(x2-x1);
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237 double b = y1 - m*x1;
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238 return m*x + b;
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239 }
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
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240 }
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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241 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8:
http://dive4elements.wald.intevation.org