Mercurial > dive4elements > gnv-client
annotate gnv-artifacts/src/main/java/de/intevation/gnv/raster/Raster.java @ 1053:6169ddc827ac
The format of a histogram pdf depends on the width and height specified by the user - or the default size (issue290).
gnv-artifacts/trunk@1127 c6561f87-3c4e-4783-a992-168aeb5c3f6f
author | Ingo Weinzierl <ingo.weinzierl@intevation.de> |
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date | Wed, 26 May 2010 07:00:55 +0000 |
parents | 05bf8534a35a |
children | f953c9a559d8 |
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1 package de.intevation.gnv.raster; |
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2 |
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3 /** |
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4 * A 2D double valued representation of a raster array. |
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5 * @author <a href="mailto:sascha.teichmann@intevation.de">Sascha L. Teichmann</a> |
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6 */ |
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7 public class Raster |
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8 { |
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9 /** |
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10 * A kernel can be applied to a raster to fold its values. |
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11 */ |
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12 public static class Kernel { |
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13 |
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14 /** |
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15 * The coefficients of the folding matrix. |
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16 */ |
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17 public static final class Coeff { |
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18 /** |
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19 * i delta index of this coefficient. |
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20 */ |
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21 public int di; |
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22 /** |
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23 * i delta index of this coefficient. |
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24 */ |
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25 public int dj; |
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26 /** |
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27 * The weight of this coefficient. |
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28 */ |
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29 public double c; |
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30 |
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31 /** |
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32 * Default constructor |
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33 */ |
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34 public Coeff() { |
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35 } |
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36 |
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37 /** |
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38 * Constructor to set the delta position and the weight of |
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39 * the coefficient. |
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40 * @param di The i delta index. |
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41 * @param dj The j delta index. |
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42 * @param c The weight of the index. |
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43 */ |
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44 public Coeff(int di, int dj, double c) { |
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45 this.di = di; |
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46 this.dj = dj; |
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47 this.c = c; |
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48 } |
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49 |
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50 /** |
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51 * Returns a string representation of this coefficient. |
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52 * @return The string representation. |
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53 */ |
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54 @Override |
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55 public String toString() { |
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56 return String.valueOf(c); |
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57 } |
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58 |
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59 } // class Coeff |
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60 |
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61 /** |
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62 * The coefficients of the folding matrix. |
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63 */ |
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64 protected Coeff [] coeffs; |
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65 /** |
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66 * The width of the kernel. |
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67 */ |
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68 protected int width; |
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69 |
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70 /** |
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71 * Default constrcutor. |
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72 */ |
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73 public Kernel() { |
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74 } |
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75 |
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76 /** |
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77 * Constructor for a kernel with a given coefficient matrix |
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78 * with a given width. |
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79 * @param coeffs The coefficients. |
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80 * @param width The width of the kernel. |
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81 */ |
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82 public Kernel(Coeff [] coeffs, int width) { |
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83 this.coeffs = coeffs; |
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84 this.width = width; |
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85 } |
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86 |
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87 /** |
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88 * Evaluates the 2D Gauss normal distribution a given x, y |
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89 * and a given sigma. |
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90 * @param x The x location. |
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91 * @param y The y location. |
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92 * @param sigma The sigma of the distribution. |
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93 * @return The value at point x, y. |
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94 */ |
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95 public static double gauss(double x, double y, double sigma) { |
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96 double s2 = sigma*sigma; |
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97 return 1.0d/(2.0d*Math.PI*s2)*Math.exp(-(x*x + y*y)/(2.0d*s2)); |
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98 } |
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99 |
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100 /** |
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101 * Creates a Gauss kernel with sigma = 1 and width 5. |
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102 * @return The new kernel. |
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103 */ |
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104 public static Kernel createGauss() { |
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105 return createGauss(1.0d, 5); |
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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 a given sigma and width. |
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110 * @param sigma The sigma value |
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111 * @param width The width of the kernel. |
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112 * @return The new kernel. |
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113 */ |
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114 public static Kernel createGauss(double sigma, int width) { |
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115 Coeff [] coeffs = new Coeff[width*width]; |
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116 double sum = 0d; |
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117 for (int j = 0; j < width; ++j) { |
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118 int y = -width/2 + j; |
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119 for (int i = 0; i < width; ++i) { |
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120 int x = -width/2 + i; |
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121 double c = gauss(x, y, sigma); |
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122 coeffs[j*width + i] = new Coeff(x, y, c); |
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123 sum += c; |
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124 } |
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125 } |
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126 sum = 1.0/sum; |
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127 for (int i = 0; i < coeffs.length; ++i) { |
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128 coeffs[i].c *= sum; |
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129 } |
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130 return new Kernel(coeffs, width); |
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131 } |
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132 |
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133 /** |
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134 * Evaluates this Kernel at the raster at raster index i, j. |
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135 * @param access The accessor to the raster. |
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136 * @param i The i raster index. |
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137 * @param j The j raster index. |
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138 * @return The folded value at index i, j. |
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139 */ |
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140 public double fold(Access access, int i, int j) { |
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141 |
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142 double s = 0.0d; |
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143 |
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144 double unused = 0d; |
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145 |
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146 for (int k = 0; k < coeffs.length; ++k) { |
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147 Coeff coeff = coeffs[k]; |
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148 double v = access.get(i + coeff.di, j + coeff.dj); |
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149 if (Double.isNaN(v)) { |
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150 unused += coeff.c; |
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151 } |
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152 else { |
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153 s += v * coeff.c; |
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154 } |
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155 } |
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156 |
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157 return s*(1.0d - unused); |
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158 } |
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159 |
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160 /** |
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161 * Returns a string representation of this kernel. |
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162 * @return The string representation. |
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163 */ |
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164 @Override |
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165 public String toString() { |
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166 StringBuilder sb = new StringBuilder(); |
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167 |
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168 int height = coeffs.length/width; |
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169 |
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170 for (int j = 0; j < height; ++j) { |
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171 if (j > 0) { |
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172 sb.append(System.getProperty("line.separator")); |
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173 } |
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174 for (int i = 0; i < width; ++i) { |
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175 if (i > 0) { |
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176 sb.append("\t"); |
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177 } |
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178 sb.append(coeffs[j*width + i]); |
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179 } |
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180 } |
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181 |
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182 return sb.toString(); |
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183 } |
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184 } // class Kernel |
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185 |
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186 /** |
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187 * Interface of allow special access patterns to the raster, |
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188 * especially at the border. |
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189 */ |
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190 public interface Access { |
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191 |
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192 /** |
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193 * Returns the raster value at a given index point. |
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194 * @param i The i index |
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195 * @param j The j index |
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196 * @return The value of the raster. |
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197 */ |
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198 double get(int i, int j); |
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199 |
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200 } // interface Access |
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201 |
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202 /** |
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203 * Interface to decouple the lookup which is needed |
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204 * to map double values to integers. |
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205 */ |
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206 public interface ValueToIndex { |
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207 |
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208 /** |
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209 * Returns the corresponding integer to a given value. |
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210 * @param value The value to be queried. |
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211 * @return The integer value or -1 if no such value was found. |
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212 */ |
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213 int toIndex(double value); |
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214 |
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215 } // interface ValueToIndex; |
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216 |
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217 /** |
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218 * Brings raster to an integer representation with equal sized bins |
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219 * of integer vaules. |
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220 */ |
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221 public static class IsoClasses |
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222 implements ValueToIndex |
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223 { |
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224 /** |
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225 * Linear scaling factor. |
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226 */ |
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227 protected double m; |
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228 /** |
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229 * Linear offset. |
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230 */ |
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231 protected double b; |
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232 /** |
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233 * Number of classes. |
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234 */ |
424
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235 protected int numClasses; |
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236 |
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237 /** |
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238 * Constructor to build a lookup to transform |
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239 * an raster into an equals sized bin integer array. |
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240 * @param raster The original raster |
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241 * @param numClasses The number of classes. |
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242 */ |
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243 public IsoClasses(Raster raster, int numClasses) { |
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244 |
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245 this.numClasses = numClasses; |
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246 |
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247 double min = Double.MAX_VALUE; |
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248 double max = -Double.MAX_VALUE; |
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249 |
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250 double [] src = raster.raster; |
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251 |
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252 for (int i = 0; i < src.length; ++i) { |
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253 double x = src[i]; |
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254 if (!Double.isNaN(x)) { |
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255 if (x < min) min = x; |
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256 if (x > max) max = x; |
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257 } |
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258 } |
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259 |
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260 /* f(min) = 0, f(max) = numClasses - 1 |
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261 |
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262 I: 0 = m*min + b |
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263 II: numClasses - 1 = m*max + b |
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264 |
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265 II - I: |
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266 numClasses - 1 = m*(max - min) |
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267 |
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268 m = (numClasses - 1)/(max - min) |
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269 b = m*min |
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270 */ |
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271 |
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272 if (max == min) { |
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273 m = 0; |
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274 b = 0; |
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275 } |
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276 else { |
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277 m = (numClasses - 1)/(max - min); |
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278 b = m*min; |
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279 } |
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280 } |
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281 |
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282 /** |
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283 * Implements the double to integer lookup. |
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284 * @param value The value to map. |
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285 * @return The mapped value. |
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286 */ |
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287 public int toIndex(double value) { |
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288 return Double.isNaN(value) |
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289 ? -1 |
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290 : Math.min(Math.max(0, (int)Math.round(m*value + b)), numClasses-1); |
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291 } |
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292 } // class IsoClasses |
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293 |
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294 /** |
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295 * Internal representation of the raster. |
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296 */ |
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297 protected double [] raster; |
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298 /** |
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299 * The width of the raster. |
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300 */ |
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301 protected int width; |
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302 |
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303 /** |
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304 * Default constructor. Creates an 0x0 raster. |
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305 */ |
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306 public Raster() { |
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307 this(new double[0], 0); |
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308 } |
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309 |
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310 /** |
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311 * Creates a raster with given values and width. |
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312 * @param raster |
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313 * @param width |
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314 */ |
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315 public Raster(double [] raster, int width) { |
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316 this.raster = raster; |
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317 this.width = width; |
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318 } |
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319 |
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320 /** |
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321 * The width of the raster. |
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322 * @return The width. |
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323 */ |
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324 public int getWidth() { |
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325 return width; |
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326 } |
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327 |
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328 /** |
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329 * The height of the raster. |
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330 * @return The height. |
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331 */ |
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332 public int getHeight() { |
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333 return raster.length / width; |
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334 } |
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335 |
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336 /** |
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337 * The values of the raster. |
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338 * @return The values. |
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339 */ |
495
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340 public double [] getValues() { |
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341 return raster; |
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342 } |
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343 |
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344 /** |
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345 * Creates an integer representation of this raster using a |
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346 * given value to index transformer. |
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347 * @param valueToIndex The transformer to map double to integer values. |
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348 * @return The new created integer representation. |
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349 */ |
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350 public int [] toIndexed(ValueToIndex valueToIndex) { |
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351 int [] dst = new int[raster.length]; |
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352 for (int i = 0; i < raster.length; ++i) { |
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353 dst[i] = valueToIndex.toIndex(raster[i]); |
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354 } |
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355 return dst; |
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356 } |
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357 |
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358 /** |
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359 * Creates a new raster by applying a kernel to this raster. |
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360 * Access to the raster is continuous at the border. |
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361 * The original raster is not modified. |
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362 * @param kernel The kernel to be applied. |
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363 * @return The new raster. |
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364 */ |
424
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365 public Raster create(Kernel kernel) { |
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366 double [] dst = new double[raster.length]; |
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367 Raster r = new Raster(dst, width); |
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368 r.apply(kernel, continueBorder()); |
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369 return r; |
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370 } |
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371 |
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372 /** |
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373 * Creates a new raster by applying a kernel to this raster. |
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374 * Access to the raster is given. |
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375 * @param kernel The kernel to be applied. |
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376 * @param access The access method to the raster. |
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377 */ |
424
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378 public void apply(Kernel kernel, Access access) { |
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379 int height = getHeight(); |
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380 for (int j = 0; j < height; ++j) { |
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381 int row = j*width; |
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382 for (int i = 0; i < width; ++i) { |
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383 raster[row + i] = kernel.fold(access, i, j); |
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384 } |
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385 } |
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386 } |
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387 |
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388 /** |
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389 * Returns a continuous access to the raster. Values |
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390 * at the border are repeated til infinity if indices |
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391 * are accessed outside the defined area. |
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392 * @return The accessor. |
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393 */ |
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394 public Access continueBorder() { |
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395 return new Access() { |
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396 int height = getHeight()-1; |
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397 public double get(int i, int j) { |
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398 if (i < 0) i = 0; |
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399 else if (i >= width) i = width-1; |
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400 if (j < 0) j = 0; |
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401 else if (j > height) j = height; |
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402 return raster[j*width + i]; |
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403 } |
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404 }; |
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405 } |
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406 } |
836
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407 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8 : |