Mercurial > dive4elements > gnv-client
annotate gnv-artifacts/src/main/java/de/intevation/gnv/math/Interpolation2D.java @ 505:7ff916744f40
Solved issue152. Time intervals of timeseries axis are defined by JFreeChart automatically.
gnv-artifacts/trunk@588 c6561f87-3c4e-4783-a992-168aeb5c3f6f
author | Ingo Weinzierl <ingo.weinzierl@intevation.de> |
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date | Wed, 20 Jan 2010 17:54:48 +0000 |
parents | 70adafe2b9d5 |
children | d9d933e06875 |
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.quadtree.Quadtree; |
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7 |
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8 import gnu.trove.TDoubleArrayList; |
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9 |
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10 import java.util.ArrayList; |
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11 import java.util.Collections; |
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12 import java.util.HashMap; |
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13 import java.util.List; |
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14 |
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15 import org.apache.commons.math.stat.descriptive.moment.Mean; |
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16 import org.apache.commons.math.stat.descriptive.moment.StandardDeviation; |
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17 |
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18 import org.apache.log4j.Logger; |
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19 |
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20 /** |
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21 * @author Sascha L. Teichmann (sascha.teichmann@intevation.de) |
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22 */ |
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23 public final class Interpolation2D |
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24 { |
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25 private static Logger log = Logger.getLogger(Interpolation2D.class); |
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26 |
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27 public interface Consumer { |
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28 void interpolated(Coordinate point, boolean success); |
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29 } // interface Consumer |
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30 |
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31 private Interpolation2D() { |
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32 } |
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33 |
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34 private static final double dist(double a, double b) { |
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35 a -= b; |
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36 return Math.sqrt(a*a); |
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37 } |
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38 |
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39 private static final double OUTLIER_EPS = 0.4d; |
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40 |
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41 public static final double [] calculateBufferRemoveOutlier( |
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42 List <? extends Point2d> points |
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43 ) { |
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44 HashMap<Integer, ArrayList<Point2d>> iMap = |
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45 new HashMap<Integer, ArrayList<Point2d>>(); |
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46 |
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47 HashMap<Integer, ArrayList<Point2d>> jMap = |
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48 new HashMap<Integer, ArrayList<Point2d>>(); |
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49 |
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50 for (int k = points.size()-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> jList = jMap.get(p.j); |
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54 ArrayList<Point2d> iList = iMap.get(p.i); |
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55 |
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56 if (jList == null) { |
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57 jMap.put(p.j, jList = new ArrayList<Point2d>()); |
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58 } |
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59 jList.add(p); |
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60 |
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61 if (iList == null) { |
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62 iMap.put(p.i, iList = new ArrayList<Point2d>()); |
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63 } |
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64 iList.add(p); |
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65 } |
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66 |
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67 TDoubleArrayList deltas = new TDoubleArrayList(); |
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68 |
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69 Mean mean = new Mean(); |
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70 StandardDeviation sd = new StandardDeviation(); |
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71 |
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72 for (ArrayList<Point2d> v: jMap.values()) { |
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73 Collections.sort(v, Point2d.Y_COMPARATOR); |
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74 for (int i = 1, L = v.size(); i < L; ++i) { |
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75 double dy = Math.abs(v.get(i).y - v.get(i-1).y); |
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76 deltas.add(dy); |
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77 mean.increment(dy); |
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78 sd .increment(dy); |
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79 } |
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80 } |
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81 |
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82 deltas.sort(); |
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83 |
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84 double m = mean.getResult(); |
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85 double s = sd .getResult(); |
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86 double eps = OUTLIER_EPS*s; |
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87 |
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88 int yi = deltas.size() - 1; |
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89 while (yi > 0 && dist(deltas.get(yi), m) > eps) { |
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90 --yi; |
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91 } |
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92 |
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93 double dyMax = deltas.get(yi) + 1e-5d; |
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94 |
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95 if (log.isDebugEnabled()) { |
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96 log.debug("mean y: " + m); |
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97 log.debug("sigma y: " + s); |
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98 } |
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99 |
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100 deltas.reset(); |
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101 mean.clear(); |
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102 sd .clear(); |
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103 |
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104 for (ArrayList<Point2d> v: iMap.values()) { |
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105 Collections.sort(v, Point2d.X_COMPARATOR); |
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106 for (int i = 1, L = v.size(); i < L; ++i) { |
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107 double dx = Math.abs(v.get(i).x - v.get(i-1).x); |
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108 deltas.add(dx); |
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109 mean.increment(dx); |
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110 sd .increment(dx); |
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111 } |
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112 } |
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113 |
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114 deltas.sort(); |
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115 |
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116 m = mean.getResult(); |
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117 s = sd .getResult(); |
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118 eps = OUTLIER_EPS*s; |
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119 |
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120 int xi = deltas.size() - 1; |
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121 |
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122 while (xi > 0 && dist(deltas.get(xi), m) > eps) { |
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123 --xi; |
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124 } |
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125 |
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126 double dxMax = deltas.get(xi) + 1e-5d; |
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127 |
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128 if (log.isDebugEnabled()) { |
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129 log.debug("mean y: " + m); |
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130 log.debug("sigma y: " + s); |
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131 } |
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132 |
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133 return new double [] { dxMax, dyMax }; |
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134 } |
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135 |
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136 public static final double [] calculateBuffer( |
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137 List <? extends Point2d> points |
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138 ) { |
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139 HashMap<Integer, ArrayList<Point2d>> iMap = |
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140 new HashMap<Integer, ArrayList<Point2d>>(); |
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141 |
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142 HashMap<Integer, ArrayList<Point2d>> jMap = |
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143 new HashMap<Integer, ArrayList<Point2d>>(); |
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144 |
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145 for (int k = points.size()-1; k >= 0; --k) { |
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146 Point2d p = points.get(k); |
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147 |
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148 ArrayList<Point2d> jList = jMap.get(p.j); |
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149 ArrayList<Point2d> iList = iMap.get(p.i); |
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150 |
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151 if (jList == null) { |
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152 jMap.put(p.j, jList = new ArrayList<Point2d>()); |
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153 } |
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154 jList.add(p); |
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155 |
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156 if (iList == null) { |
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157 iMap.put(p.i, iList = new ArrayList<Point2d>()); |
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158 } |
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159 iList.add(p); |
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160 } |
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161 |
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162 double dxMax = -Double.MAX_VALUE; |
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163 double dyMax = -Double.MAX_VALUE; |
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164 |
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165 for (ArrayList<Point2d> v: jMap.values()) { |
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166 Collections.sort(v, Point2d.Y_COMPARATOR); |
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167 for (int i = 1, L = v.size(); i < L; ++i) { |
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168 double dy = Math.abs(v.get(i).y - v.get(i-1).y); |
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169 if (dy > dyMax) { |
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170 dyMax = dy; |
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171 } |
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172 } |
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173 } |
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174 |
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175 dyMax += 1e-5d; |
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176 |
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177 for (ArrayList<Point2d> v: iMap.values()) { |
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178 Collections.sort(v, Point2d.X_COMPARATOR); |
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179 for (int i = 1, L = v.size(); i < L; ++i) { |
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180 double dx = Math.abs(v.get(i).x - v.get(i-1).x); |
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181 if (dx > dxMax) { |
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182 dxMax = dx; |
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183 } |
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184 } |
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185 } |
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186 |
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187 dxMax += 1e-5d; |
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188 |
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189 return new double [] { dxMax, dyMax }; |
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190 } |
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191 |
361
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192 public static void interpolate( |
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193 List<? extends Coordinate> path, |
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194 List<? extends Point2d> points, |
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195 double from, |
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196 double to, |
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197 int steps, |
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198 Metrics metrics, |
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199 Consumer consumer |
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200 ) { |
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201 boolean debug = log.isDebugEnabled(); |
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202 |
361
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203 int N = path.size(); |
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204 int M = points.size(); |
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205 |
434
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206 if (debug) { |
416
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207 log.debug("Size of path: " + N); |
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Added support of gap detection in horizontalcrossprofile charts.
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208 log.debug("Size of points: " + M); |
04a242c67fe6
Added support of gap detection in horizontalcrossprofile charts.
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209 } |
365
f66088a43ecc
Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
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210 |
361
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Added code to do 2D interpolations along a digitied track on the map.
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211 if (M < 1 || N < 2) { // nothing to do |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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212 return; |
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213 } |
365
f66088a43ecc
Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
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361
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214 |
431
422275fc9927
Refactored the XYColumn and Point2d code a bit to be more reusable in 3D.
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416
diff
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215 double [] buffer = calculateBuffer(points); |
422275fc9927
Refactored the XYColumn and Point2d code a bit to be more reusable in 3D.
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416
diff
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216 double dxMax = buffer[0]; |
422275fc9927
Refactored the XYColumn and Point2d code a bit to be more reusable in 3D.
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217 double dyMax = buffer[1]; |
365
f66088a43ecc
Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
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218 |
434
0eed5749fd63
Implemented the raster interpolation for the 'Profilschnitt'.
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431
diff
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219 if (debug) { |
416
04a242c67fe6
Added support of gap detection in horizontalcrossprofile charts.
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366
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220 log.debug("buffer size: " + dxMax + " / " + dyMax); |
04a242c67fe6
Added support of gap detection in horizontalcrossprofile charts.
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221 } |
361
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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222 |
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223 // put into spatial index to speed up finding neighbors. |
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224 Quadtree spatialIndex = new Quadtree(); |
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Added code to do 2D interpolations along a digitied track on the map.
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225 |
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226 for (int i = 0; i < M; ++i) { |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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227 Point2d p = points.get(i); |
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228 spatialIndex.insert(p.envelope(), p); |
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229 } |
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230 |
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231 LinearToMap linearToMap = new LinearToMap( |
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232 path, from, to, metrics); |
aec85d00d82c
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233 |
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234 double dP = (to - from)/steps; |
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235 |
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236 Coordinate center = new Coordinate(); |
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Added code to do 2D interpolations along a digitied track on the map.
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237 |
aec85d00d82c
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238 Envelope queryBuffer = new Envelope(); |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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239 |
aec85d00d82c
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240 Point2d [] neighbors = new Point2d[4]; |
aec85d00d82c
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241 |
365
f66088a43ecc
Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
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242 int missedInterpolations = 0; |
f66088a43ecc
Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
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243 int interpolations = 0; |
f66088a43ecc
Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
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244 |
474
ab29e4ff2fda
Added area interpolation needed for "Horizontalschnitt"
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445
diff
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245 L1Comparator invL1 = new L1Comparator(center); |
ab29e4ff2fda
Added area interpolation needed for "Horizontalschnitt"
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445
diff
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246 |
365
f66088a43ecc
Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
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361
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247 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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248 if (!linearToMap.locate(p, center)) { |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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249 continue; |
aec85d00d82c
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250 } |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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251 queryBuffer.init( |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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252 center.x - dxMax, center.x + dxMax, |
aec85d00d82c
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253 center.y - dyMax, center.y + dyMax); |
aec85d00d82c
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254 |
aec85d00d82c
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255 List potential = spatialIndex.query(queryBuffer); |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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256 |
aec85d00d82c
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257 Collections.sort(potential, invL1); |
aec85d00d82c
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258 |
aec85d00d82c
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259 neighbors[0] = neighbors[1] = |
aec85d00d82c
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260 neighbors[2] = neighbors[3] = null; |
aec85d00d82c
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261 |
aec85d00d82c
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262 /* bit code of neighbors |
aec85d00d82c
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263 0---1 |
aec85d00d82c
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264 | x | |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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265 2---3 |
aec85d00d82c
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266 */ |
aec85d00d82c
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267 |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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268 int mask = 0; |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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269 // reversed order is essential here! |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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270 for (int i = potential.size()-1; i >= 0; --i) { |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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271 Point2d n = (Point2d)potential.get(i); |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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272 int code = n.x > center.x ? 1 : 0; |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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273 if (n.y > center.y) code |= 2; |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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274 neighbors[code] = n; |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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275 mask |= 1 << code; |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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276 } |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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277 |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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278 int numNeighbors = Integer.bitCount(mask); |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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279 |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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280 // only interpolate if we have all four neighbors |
aec85d00d82c
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281 // and we do not have any gaps. |
aec85d00d82c
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|
282 if (numNeighbors == 4 |
366
086e3af38b96
Fixed index error in i-gap detection in 2D interpolation.
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365
diff
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283 && !neighbors[0].hasIGap(neighbors[1]) |
361
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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284 && !neighbors[1].hasJGap(neighbors[3]) |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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285 && !neighbors[3].hasIGap(neighbors[2]) |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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parents:
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286 && !neighbors[2].hasJGap(neighbors[0]) |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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|
287 ) { |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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288 double z1 = interpolate( |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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289 neighbors[0].x, neighbors[0].z, |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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290 neighbors[1].x, neighbors[1].z, |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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291 center.x); |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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292 double z2 = interpolate( |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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293 neighbors[2].x, neighbors[2].z, |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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294 neighbors[3].x, neighbors[3].z, |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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295 center.x); |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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296 double y1 = interpolate( |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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297 neighbors[0].x, neighbors[0].y, |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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298 neighbors[1].x, neighbors[1].y, |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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299 center.x); |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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300 double y2 = interpolate( |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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301 neighbors[2].x, neighbors[2].y, |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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302 neighbors[3].x, neighbors[3].y, |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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changeset
|
303 center.x); |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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304 center.z = interpolate( |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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305 y1, z1, |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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|
306 y2, z2, |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
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|
307 center.y); |
416
04a242c67fe6
Added support of gap detection in horizontalcrossprofile charts.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents:
366
diff
changeset
|
308 consumer.interpolated(center, true); |
365
f66088a43ecc
Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents:
361
diff
changeset
|
309 ++interpolations; |
f66088a43ecc
Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents:
361
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changeset
|
310 } |
f66088a43ecc
Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents:
361
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changeset
|
311 else { |
416
04a242c67fe6
Added support of gap detection in horizontalcrossprofile charts.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents:
366
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312 consumer.interpolated(center, false); |
365
f66088a43ecc
Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents:
361
diff
changeset
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313 ++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
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314 } |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff
changeset
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315 } |
365
f66088a43ecc
Added horizontal crossprofile charts to chart pallet. Fixed some bugs before interpolation.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents:
361
diff
changeset
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316 |
434
0eed5749fd63
Implemented the raster interpolation for the 'Profilschnitt'.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
431
diff
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317 if (debug) { |
416
04a242c67fe6
Added support of gap detection in horizontalcrossprofile charts.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents:
366
diff
changeset
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318 log.debug("interpolations: " + |
04a242c67fe6
Added support of gap detection in horizontalcrossprofile charts.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents:
366
diff
changeset
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319 interpolations + " / " + missedInterpolations); |
04a242c67fe6
Added support of gap detection in horizontalcrossprofile charts.
Ingo Weinzierl <ingo.weinzierl@intevation.de>
parents:
366
diff
changeset
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320 } |
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
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321 } |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff
changeset
|
322 |
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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323 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
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324 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
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325 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
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326 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
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327 ) { |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff
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328 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
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329 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
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330 } |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff
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331 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
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332 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
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333 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
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334 } |
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 } |
aec85d00d82c
Added code to do 2D interpolations along a digitied track on the map.
Sascha L. Teichmann <sascha.teichmann@intevation.de>
parents:
diff
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336 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8: |