annotate gnv-artifacts/src/main/java/de/intevation/gnv/math/Interpolation2D.java @ 366:086e3af38b96

Fixed index error in i-gap detection in 2D interpolation. gnv-artifacts/trunk@441 c6561f87-3c4e-4783-a992-168aeb5c3f6f
author Sascha L. Teichmann <sascha.teichmann@intevation.de>
date Wed, 16 Dec 2009 22:10:46 +0000
parents f66088a43ecc
children 04a242c67fe6
rev   line source
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1 package de.intevation.gnv.math;
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2
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3 import java.util.ArrayList;
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4 import java.util.List;
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5 import java.util.HashMap;
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6 import java.util.Collections;
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7
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8 import com.vividsolutions.jts.geom.Coordinate;
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9 import com.vividsolutions.jts.geom.Envelope;
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10
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11 import com.vividsolutions.jts.index.quadtree.Quadtree;
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13 import org.apache.log4j.Logger;
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14
361
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15 /**
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16 * @author Sascha L. Teichmann
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17 */
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18 public final class Interpolation2D
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19 {
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20 private static Logger log = Logger.getLogger(Interpolation2D.class);
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21
361
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22 public interface Consumer {
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23 void interpolated(Coordinate point);
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24 } // interface Consumer
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25
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26 private Interpolation2D() {
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27 }
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28
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29 public static void interpolate(
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30 List<? extends Coordinate> path,
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31 List<? extends Point2d> points,
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32 double from,
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33 double to,
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34 int steps,
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35 Metrics metrics,
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36 Consumer consumer
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37 ) {
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38 int N = path.size();
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39 int M = points.size();
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40
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41 log.debug("Size of path: " + N);
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42 log.debug("Size of points: " + M);
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43
361
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44 if (M < 1 || N < 2) { // nothing to do
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45 return;
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46 }
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47
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48 HashMap<Integer, ArrayList<Point2d>> map = new HashMap<Integer, ArrayList<Point2d>>();
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49
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50 for (int k = M-1; k >= 0; --k) {
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51 Point2d p = points.get(k);
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52
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53 ArrayList<Point2d> list = map.get(p.j);
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54
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55 if (list == null) {
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56 map.put(p.j, list = new ArrayList<Point2d>());
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57 }
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58 list.add(p);
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59 }
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60
361
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61 double dxMax = -Double.MAX_VALUE;
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62
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63 for (ArrayList<Point2d> v: map.values()) {
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64 Collections.sort(v, Point2d.X_COMPARATOR);
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65 for (int i = 1, L = v.size(); i < L; ++i) {
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66 double dx = Math.abs(v.get(i).x - v.get(i-1).x);
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67 if (dx > dxMax) {
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68 dxMax = dx;
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69 }
361
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70 }
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71 }
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72
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73 dxMax = dxMax + 1e-5d;
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74
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75 map.clear();
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76
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77 for (int k = M-1; k >= 0; --k) {
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78 Point2d p = points.get(k);
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79
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80 ArrayList<Point2d> list = map.get(p.i);
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81
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82 if (list == null) {
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83 map.put(p.i, list = new ArrayList<Point2d>());
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84 }
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85 list.add(p);
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86 }
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87
361
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88 double dyMax = -Double.MAX_VALUE;
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89
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90 for (ArrayList<Point2d> v: map.values()) {
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91 Collections.sort(v, Point2d.Y_COMPARATOR);
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92 for (int i = 1, L = v.size(); i < L; ++i) {
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93 double dy = Math.abs(v.get(i).y - v.get(i-1).y);
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94 if (dy > dyMax) {
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95 dyMax = dy;
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96 }
361
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97 }
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98 }
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99
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100 dyMax = dyMax + 1e-5d;
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101
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102 map = null;
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103
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104 log.debug("buffer size: " + dxMax + " / " + dyMax);
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105
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106 // put into spatial index to speed up finding neighbors.
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107 Quadtree spatialIndex = new Quadtree();
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108
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109 for (int i = 0; i < M; ++i) {
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110 Point2d p = points.get(i);
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111 spatialIndex.insert(p.envelope(), p);
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112 }
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113
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114 LinearToMap linearToMap = new LinearToMap(
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115 path, from, to, metrics);
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116
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117 double dP = (to - from)/steps;
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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118
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
119 Coordinate center = new Coordinate();
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
120
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
121 Envelope queryBuffer = new Envelope();
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
diff changeset
122
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
123 Point2d [] neighbors = new Point2d[4];
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
124
365
f66088a43ecc Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 361
diff changeset
125 int missedInterpolations = 0;
f66088a43ecc Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 361
diff changeset
126 int interpolations = 0;
f66088a43ecc Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 361
diff changeset
127
f66088a43ecc Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 361
diff changeset
128 for (double p = from; p <= to; p += dP) {
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
129 if (!linearToMap.locate(p, center)) {
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
130 continue;
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
131 }
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
132 queryBuffer.init(
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
133 center.x - dxMax, center.x + dxMax,
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
134 center.y - dyMax, center.y + dyMax);
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
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135
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
136 List potential = spatialIndex.query(queryBuffer);
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
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parents:
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137
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
138 L1Comparator invL1 = new L1Comparator(center);
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
139 Collections.sort(potential, invL1);
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
140
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
141 neighbors[0] = neighbors[1] =
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
142 neighbors[2] = neighbors[3] = null;
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
143
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
144 /* bit code of neighbors
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
145 0---1
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
146 | 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
147 2---3
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
148 */
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
149
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
150 int mask = 0;
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
151 // reversed order is essential here!
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
152 for (int i = potential.size()-1; i >= 0; --i) {
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
153 Point2d n = (Point2d)potential.get(i);
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
154 int code = n.x > center.x ? 1 : 0;
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
155 if (n.y > center.y) code |= 2;
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
156 neighbors[code] = n;
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
157 mask |= 1 << code;
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
158 }
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
159
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
160 int numNeighbors = Integer.bitCount(mask);
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
161
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
162 // only interpolate if we have all four neighbors
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
163 // and we do not have any gaps.
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
164 if (numNeighbors == 4
366
086e3af38b96 Fixed index error in i-gap detection in 2D interpolation.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents: 365
diff changeset
165 && !neighbors[0].hasIGap(neighbors[1])
361
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Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
166 && !neighbors[1].hasJGap(neighbors[3])
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
167 && !neighbors[3].hasIGap(neighbors[2])
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
168 && !neighbors[2].hasJGap(neighbors[0])
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
169 ) {
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
170 double z1 = 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
171 neighbors[0].x, neighbors[0].z,
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
172 neighbors[1].x, neighbors[1].z,
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
173 center.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
174 double z2 = 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
175 neighbors[2].x, neighbors[2].z,
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
176 neighbors[3].x, neighbors[3].z,
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
177 center.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
178 double y1 = 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
179 neighbors[0].x, neighbors[0].y,
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
180 neighbors[1].x, neighbors[1].y,
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
181 center.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
182 double y2 = 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
183 neighbors[2].x, neighbors[2].y,
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
184 neighbors[3].x, neighbors[3].y,
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
185 center.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
186 center.z = 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
187 y1, z1,
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
188 y2, z2,
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
189 center.y);
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
190 consumer.interpolated(center);
365
f66088a43ecc Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 361
diff changeset
191 ++interpolations;
f66088a43ecc Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 361
diff changeset
192 }
f66088a43ecc Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 361
diff changeset
193 else {
f66088a43ecc Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 361
diff changeset
194 ++missedInterpolations;
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
195 }
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
196 }
365
f66088a43ecc Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 361
diff changeset
197
f66088a43ecc Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents: 361
diff changeset
198 log.debug("interpolations: " + interpolations + " / " + missedInterpolations);
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
199 }
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
200
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
201 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
202 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
203 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
204 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
205 ) {
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
206 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
207 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
208 }
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
209 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
210 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
211 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
212 }
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
213 }
aec85d00d82c Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff changeset
214 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8:

http://dive4elements.wald.intevation.org