Mercurial > dive4elements > gnv-client
annotate gnv-artifacts/src/main/java/de/intevation/gnv/raster/Raster.java @ 1129:ccfa07b88476
merged geo-backend
author | Thomas Arendsen Hein <thomas@intevation.de> |
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date | Fri, 28 Sep 2012 12:14:01 +0200 |
parents | f953c9a559d8 |
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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.raster; |
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10 |
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11 /** |
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12 * A 2D double valued representation of a raster array. |
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13 * @author <a href="mailto:sascha.teichmann@intevation.de">Sascha L. Teichmann</a> |
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14 */ |
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15 public class Raster |
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16 { |
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17 /** |
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18 * A kernel can be applied to a raster to fold its values. |
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19 */ |
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20 public static class Kernel { |
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21 |
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22 /** |
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23 * The coefficients of the folding matrix. |
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24 */ |
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25 public static final class Coeff { |
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26 /** |
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27 * i delta index of this coefficient. |
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28 */ |
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29 public int di; |
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30 /** |
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31 * i delta index of this coefficient. |
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32 */ |
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33 public int dj; |
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34 /** |
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35 * The weight of this coefficient. |
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36 */ |
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37 public double c; |
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38 |
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39 /** |
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40 * Default constructor |
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41 */ |
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42 public Coeff() { |
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43 } |
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44 |
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45 /** |
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46 * Constructor to set the delta position and the weight of |
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47 * the coefficient. |
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48 * @param di The i delta index. |
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49 * @param dj The j delta index. |
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50 * @param c The weight of the index. |
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51 */ |
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52 public Coeff(int di, int dj, double c) { |
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53 this.di = di; |
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54 this.dj = dj; |
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55 this.c = c; |
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56 } |
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57 |
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58 /** |
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59 * Returns a string representation of this coefficient. |
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60 * @return The string representation. |
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61 */ |
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62 @Override |
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63 public String toString() { |
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64 return String.valueOf(c); |
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65 } |
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66 |
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67 } // class Coeff |
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68 |
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69 /** |
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70 * The coefficients of the folding matrix. |
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71 */ |
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72 protected Coeff [] coeffs; |
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73 /** |
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74 * The width of the kernel. |
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75 */ |
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76 protected int width; |
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77 |
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78 /** |
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79 * Default constrcutor. |
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80 */ |
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81 public Kernel() { |
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82 } |
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83 |
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84 /** |
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85 * Constructor for a kernel with a given coefficient matrix |
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86 * with a given width. |
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87 * @param coeffs The coefficients. |
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88 * @param width The width of the kernel. |
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89 */ |
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90 public Kernel(Coeff [] coeffs, int width) { |
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91 this.coeffs = coeffs; |
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92 this.width = width; |
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93 } |
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94 |
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95 /** |
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96 * Evaluates the 2D Gauss normal distribution a given x, y |
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97 * and a given sigma. |
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98 * @param x The x location. |
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99 * @param y The y location. |
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100 * @param sigma The sigma of the distribution. |
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101 * @return The value at point x, y. |
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102 */ |
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103 public static double gauss(double x, double y, double sigma) { |
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104 double s2 = sigma*sigma; |
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105 return 1.0d/(2.0d*Math.PI*s2)*Math.exp(-(x*x + y*y)/(2.0d*s2)); |
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106 } |
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107 |
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108 /** |
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109 * Creates a Gauss kernel with sigma = 1 and width 5. |
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110 * @return The new kernel. |
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111 */ |
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112 public static Kernel createGauss() { |
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113 return createGauss(1.0d, 5); |
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114 } |
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115 |
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116 /** |
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117 * Creates a Gauss kernel with a given sigma and width. |
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118 * @param sigma The sigma value |
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119 * @param width The width of the kernel. |
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120 * @return The new kernel. |
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121 */ |
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122 public static Kernel createGauss(double sigma, int width) { |
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123 Coeff [] coeffs = new Coeff[width*width]; |
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124 double sum = 0d; |
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125 for (int j = 0; j < width; ++j) { |
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126 int y = -width/2 + j; |
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127 for (int i = 0; i < width; ++i) { |
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128 int x = -width/2 + i; |
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129 double c = gauss(x, y, sigma); |
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130 coeffs[j*width + i] = new Coeff(x, y, c); |
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131 sum += c; |
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132 } |
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133 } |
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134 sum = 1.0/sum; |
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135 for (int i = 0; i < coeffs.length; ++i) { |
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136 coeffs[i].c *= sum; |
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137 } |
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138 return new Kernel(coeffs, width); |
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139 } |
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140 |
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141 /** |
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142 * Evaluates this Kernel at the raster at raster index i, j. |
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143 * @param access The accessor to the raster. |
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144 * @param i The i raster index. |
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145 * @param j The j raster index. |
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146 * @return The folded value at index i, j. |
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147 */ |
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148 public double fold(Access access, int i, int j) { |
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149 |
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150 double s = 0.0d; |
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151 |
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152 double unused = 0d; |
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153 |
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154 for (int k = 0; k < coeffs.length; ++k) { |
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155 Coeff coeff = coeffs[k]; |
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156 double v = access.get(i + coeff.di, j + coeff.dj); |
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157 if (Double.isNaN(v)) { |
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158 unused += coeff.c; |
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159 } |
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160 else { |
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161 s += v * coeff.c; |
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162 } |
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163 } |
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164 |
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165 return s*(1.0d - unused); |
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166 } |
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167 |
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168 /** |
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169 * Returns a string representation of this kernel. |
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170 * @return The string representation. |
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171 */ |
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172 @Override |
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173 public String toString() { |
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174 StringBuilder sb = new StringBuilder(); |
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175 |
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176 int height = coeffs.length/width; |
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177 |
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178 for (int j = 0; j < height; ++j) { |
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179 if (j > 0) { |
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180 sb.append(System.getProperty("line.separator")); |
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181 } |
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182 for (int i = 0; i < width; ++i) { |
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183 if (i > 0) { |
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184 sb.append("\t"); |
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185 } |
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186 sb.append(coeffs[j*width + i]); |
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187 } |
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188 } |
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189 |
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190 return sb.toString(); |
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191 } |
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192 } // class Kernel |
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193 |
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194 /** |
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195 * Interface of allow special access patterns to the raster, |
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196 * especially at the border. |
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197 */ |
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198 public interface Access { |
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199 |
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200 /** |
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201 * Returns the raster value at a given index point. |
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202 * @param i The i index |
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203 * @param j The j index |
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204 * @return The value of the raster. |
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205 */ |
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206 double get(int i, int j); |
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207 |
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208 } // interface Access |
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209 |
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210 /** |
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211 * Interface to decouple the lookup which is needed |
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212 * to map double values to integers. |
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213 */ |
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214 public interface ValueToIndex { |
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215 |
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216 /** |
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217 * Returns the corresponding integer to a given value. |
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218 * @param value The value to be queried. |
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219 * @return The integer value or -1 if no such value was found. |
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220 */ |
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221 int toIndex(double value); |
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222 |
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223 } // interface ValueToIndex; |
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224 |
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225 /** |
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226 * Brings raster to an integer representation with equal sized bins |
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227 * of integer vaules. |
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228 */ |
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229 public static class IsoClasses |
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230 implements ValueToIndex |
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231 { |
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232 /** |
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233 * Linear scaling factor. |
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234 */ |
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235 protected double m; |
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236 /** |
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237 * Linear offset. |
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238 */ |
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239 protected double b; |
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240 /** |
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241 * Number of classes. |
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242 */ |
424
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243 protected int numClasses; |
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244 |
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245 /** |
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246 * Constructor to build a lookup to transform |
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247 * an raster into an equals sized bin integer array. |
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248 * @param raster The original raster |
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249 * @param numClasses The number of classes. |
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250 */ |
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251 public IsoClasses(Raster raster, int numClasses) { |
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252 |
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253 this.numClasses = numClasses; |
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254 |
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255 double min = Double.MAX_VALUE; |
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256 double max = -Double.MAX_VALUE; |
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257 |
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258 double [] src = raster.raster; |
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259 |
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260 for (int i = 0; i < src.length; ++i) { |
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261 double x = src[i]; |
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262 if (!Double.isNaN(x)) { |
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263 if (x < min) min = x; |
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264 if (x > max) max = x; |
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265 } |
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266 } |
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267 |
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268 /* f(min) = 0, f(max) = numClasses - 1 |
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269 |
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270 I: 0 = m*min + b |
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271 II: numClasses - 1 = m*max + b |
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272 |
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273 II - I: |
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274 numClasses - 1 = m*(max - min) |
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275 |
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276 m = (numClasses - 1)/(max - min) |
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277 b = m*min |
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278 */ |
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279 |
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280 if (max == min) { |
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281 m = 0; |
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282 b = 0; |
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283 } |
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284 else { |
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285 m = (numClasses - 1)/(max - min); |
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286 b = m*min; |
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287 } |
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288 } |
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289 |
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290 /** |
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291 * Implements the double to integer lookup. |
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292 * @param value The value to map. |
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293 * @return The mapped value. |
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294 */ |
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295 public int toIndex(double value) { |
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296 return Double.isNaN(value) |
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297 ? -1 |
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298 : Math.min(Math.max(0, (int)Math.round(m*value + b)), numClasses-1); |
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299 } |
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300 } // class IsoClasses |
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301 |
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302 /** |
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303 * Internal representation of the raster. |
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304 */ |
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305 protected double [] raster; |
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306 /** |
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307 * The width of the raster. |
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308 */ |
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309 protected int width; |
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310 |
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311 /** |
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312 * Default constructor. Creates an 0x0 raster. |
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313 */ |
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314 public Raster() { |
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315 this(new double[0], 0); |
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316 } |
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317 |
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318 /** |
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319 * Creates a raster with given values and width. |
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320 * @param raster |
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321 * @param width |
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322 */ |
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323 public Raster(double [] raster, int width) { |
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324 this.raster = raster; |
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325 this.width = width; |
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326 } |
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327 |
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328 /** |
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329 * The width of the raster. |
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330 * @return The width. |
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331 */ |
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332 public int getWidth() { |
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333 return width; |
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334 } |
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335 |
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336 /** |
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337 * The height of the raster. |
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338 * @return The height. |
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339 */ |
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340 public int getHeight() { |
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341 return raster.length / width; |
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342 } |
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343 |
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344 /** |
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345 * The values of the raster. |
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346 * @return The values. |
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347 */ |
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348 public double [] getValues() { |
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349 return raster; |
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350 } |
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351 |
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352 /** |
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353 * Creates an integer representation of this raster using a |
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354 * given value to index transformer. |
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355 * @param valueToIndex The transformer to map double to integer values. |
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356 * @return The new created integer representation. |
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357 */ |
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358 public int [] toIndexed(ValueToIndex valueToIndex) { |
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359 int [] dst = new int[raster.length]; |
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360 for (int i = 0; i < raster.length; ++i) { |
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361 dst[i] = valueToIndex.toIndex(raster[i]); |
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362 } |
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363 return dst; |
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364 } |
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365 |
801
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366 /** |
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367 * Creates a new raster by applying a kernel to this raster. |
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368 * Access to the raster is continuous at the border. |
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369 * The original raster is not modified. |
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370 * @param kernel The kernel to be applied. |
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371 * @return The new raster. |
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372 */ |
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373 public Raster create(Kernel kernel) { |
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374 double [] dst = new double[raster.length]; |
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375 Raster r = new Raster(dst, width); |
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376 r.apply(kernel, continueBorder()); |
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377 return r; |
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378 } |
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379 |
801
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380 /** |
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381 * Creates a new raster by applying a kernel to this raster. |
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382 * Access to the raster is given. |
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383 * @param kernel The kernel to be applied. |
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384 * @param access The access method to the raster. |
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385 */ |
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386 public void apply(Kernel kernel, Access access) { |
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387 int height = getHeight(); |
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388 for (int j = 0; j < height; ++j) { |
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389 int row = j*width; |
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390 for (int i = 0; i < width; ++i) { |
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391 raster[row + i] = kernel.fold(access, i, j); |
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392 } |
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393 } |
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394 } |
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395 |
801
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396 /** |
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397 * Returns a continuous access to the raster. Values |
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398 * at the border are repeated til infinity if indices |
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399 * are accessed outside the defined area. |
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400 * @return The accessor. |
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401 */ |
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402 public Access continueBorder() { |
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403 return new Access() { |
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404 int height = getHeight()-1; |
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405 public double get(int i, int j) { |
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406 if (i < 0) i = 0; |
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407 else if (i >= width) i = width-1; |
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408 if (j < 0) j = 0; |
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409 else if (j > height) j = height; |
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410 return raster[j*width + i]; |
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411 } |
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412 }; |
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413 } |
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414 } |
836
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415 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8 : |