kernels.html 28 KB

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  62. <h1>Source code for ipfml.filters.kernels</h1><div class="highlight"><pre>
  63. <span></span><span class="sd">&quot;&quot;&quot;</span>
  64. <span class="sd">Kernel to apply on images using convolution</span>
  65. <span class="sd">&quot;&quot;&quot;</span>
  66. <span class="c1"># main imports</span>
  67. <span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
  68. <span class="kn">import</span> <span class="nn">sys</span>
  69. <div class="viewcode-block" id="plane_mean"><a class="viewcode-back" href="../../../ipfml/ipfml.filters.kernels.html#ipfml.filters.kernels.plane_mean">[docs]</a><span class="k">def</span> <span class="nf">plane_mean</span><span class="p">(</span><span class="n">window</span><span class="p">):</span>
  70. <span class="sd">&quot;&quot;&quot;Plane mean kernel to use with convolution process on image</span>
  71. <span class="sd"> Args:</span>
  72. <span class="sd"> window: the window part to use from image</span>
  73. <span class="sd"> Returns:</span>
  74. <span class="sd"> Normalized residual error from mean plane</span>
  75. <span class="sd"> Example:</span>
  76. <span class="sd"> &gt;&gt;&gt; from ipfml.filters.kernels import plane_mean</span>
  77. <span class="sd"> &gt;&gt;&gt; import numpy as np</span>
  78. <span class="sd"> &gt;&gt;&gt; window = np.arange(9).reshape([3, 3])</span>
  79. <span class="sd"> &gt;&gt;&gt; result = plane_mean(window)</span>
  80. <span class="sd"> &gt;&gt;&gt; (result &lt; 0.0001)</span>
  81. <span class="sd"> True</span>
  82. <span class="sd"> &quot;&quot;&quot;</span>
  83. <span class="n">window</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">window</span><span class="p">)</span>
  84. <span class="n">width</span><span class="p">,</span> <span class="n">height</span> <span class="o">=</span> <span class="n">window</span><span class="o">.</span><span class="n">shape</span>
  85. <span class="c1"># prepare data</span>
  86. <span class="n">nb_elem</span> <span class="o">=</span> <span class="n">width</span> <span class="o">*</span> <span class="n">height</span>
  87. <span class="n">xs</span> <span class="o">=</span> <span class="p">[</span><span class="nb">int</span><span class="p">(</span><span class="n">i</span> <span class="o">/</span> <span class="n">height</span><span class="p">)</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">nb_elem</span><span class="p">)]</span>
  88. <span class="n">ys</span> <span class="o">=</span> <span class="p">[</span><span class="n">i</span> <span class="o">%</span> <span class="n">height</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">nb_elem</span><span class="p">)]</span>
  89. <span class="n">zs</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">window</span><span class="p">)</span><span class="o">.</span><span class="n">flatten</span><span class="p">()</span><span class="o">.</span><span class="n">tolist</span><span class="p">()</span>
  90. <span class="c1"># get residual (error) from mean plane computed</span>
  91. <span class="n">tmp_A</span> <span class="o">=</span> <span class="p">[]</span>
  92. <span class="n">tmp_b</span> <span class="o">=</span> <span class="p">[]</span>
  93. <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">xs</span><span class="p">)):</span>
  94. <span class="n">tmp_A</span><span class="o">.</span><span class="n">append</span><span class="p">([</span><span class="n">xs</span><span class="p">[</span><span class="n">i</span><span class="p">],</span> <span class="n">ys</span><span class="p">[</span><span class="n">i</span><span class="p">],</span> <span class="mi">1</span><span class="p">])</span>
  95. <span class="n">tmp_b</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">zs</span><span class="p">[</span><span class="n">i</span><span class="p">])</span>
  96. <span class="n">b</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">matrix</span><span class="p">(</span><span class="n">tmp_b</span><span class="p">)</span><span class="o">.</span><span class="n">T</span>
  97. <span class="n">A</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">matrix</span><span class="p">(</span><span class="n">tmp_A</span><span class="p">)</span>
  98. <span class="n">fit</span> <span class="o">=</span> <span class="p">(</span><span class="n">A</span><span class="o">.</span><span class="n">T</span> <span class="o">*</span> <span class="n">A</span><span class="p">)</span><span class="o">.</span><span class="n">I</span> <span class="o">*</span> <span class="n">A</span><span class="o">.</span><span class="n">T</span> <span class="o">*</span> <span class="n">b</span>
  99. <span class="n">errors</span> <span class="o">=</span> <span class="n">b</span> <span class="o">-</span> <span class="n">A</span> <span class="o">*</span> <span class="n">fit</span>
  100. <span class="n">residual</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">norm</span><span class="p">(</span><span class="n">errors</span><span class="p">)</span>
  101. <span class="k">return</span> <span class="n">residual</span></div>
  102. <span class="c1"># return difference between min and max errors</span>
  103. <div class="viewcode-block" id="plane_max_error"><a class="viewcode-back" href="../../../ipfml/ipfml.filters.kernels.html#ipfml.filters.kernels.plane_max_error">[docs]</a><span class="k">def</span> <span class="nf">plane_max_error</span><span class="p">(</span><span class="n">window</span><span class="p">):</span>
  104. <span class="sd">&quot;&quot;&quot;Plane max error kernel to use with convolution process on image</span>
  105. <span class="sd"> Args:</span>
  106. <span class="sd"> window: the window part to use from image</span>
  107. <span class="sd"> Returns:</span>
  108. <span class="sd"> Difference between max and min error from mean plane</span>
  109. <span class="sd"> Example:</span>
  110. <span class="sd"> &gt;&gt;&gt; from ipfml.filters.kernels import plane_max_error</span>
  111. <span class="sd"> &gt;&gt;&gt; import numpy as np</span>
  112. <span class="sd"> &gt;&gt;&gt; window = np.arange(9).reshape([3, 3])</span>
  113. <span class="sd"> &gt;&gt;&gt; result = plane_max_error(window)</span>
  114. <span class="sd"> &gt;&gt;&gt; (result &lt; 0.0001)</span>
  115. <span class="sd"> True</span>
  116. <span class="sd"> &quot;&quot;&quot;</span>
  117. <span class="n">window</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">window</span><span class="p">)</span>
  118. <span class="n">width</span><span class="p">,</span> <span class="n">height</span> <span class="o">=</span> <span class="n">window</span><span class="o">.</span><span class="n">shape</span>
  119. <span class="c1"># prepare data</span>
  120. <span class="n">nb_elem</span> <span class="o">=</span> <span class="n">width</span> <span class="o">*</span> <span class="n">height</span>
  121. <span class="n">xs</span> <span class="o">=</span> <span class="p">[</span><span class="nb">int</span><span class="p">(</span><span class="n">i</span> <span class="o">/</span> <span class="n">height</span><span class="p">)</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">nb_elem</span><span class="p">)]</span>
  122. <span class="n">ys</span> <span class="o">=</span> <span class="p">[</span><span class="n">i</span> <span class="o">%</span> <span class="n">height</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">nb_elem</span><span class="p">)]</span>
  123. <span class="n">zs</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">window</span><span class="p">)</span><span class="o">.</span><span class="n">flatten</span><span class="p">()</span><span class="o">.</span><span class="n">tolist</span><span class="p">()</span>
  124. <span class="c1"># get residual (error) from mean plane computed</span>
  125. <span class="n">tmp_A</span> <span class="o">=</span> <span class="p">[]</span>
  126. <span class="n">tmp_b</span> <span class="o">=</span> <span class="p">[]</span>
  127. <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">xs</span><span class="p">)):</span>
  128. <span class="n">tmp_A</span><span class="o">.</span><span class="n">append</span><span class="p">([</span><span class="n">xs</span><span class="p">[</span><span class="n">i</span><span class="p">],</span> <span class="n">ys</span><span class="p">[</span><span class="n">i</span><span class="p">],</span> <span class="mi">1</span><span class="p">])</span>
  129. <span class="n">tmp_b</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">zs</span><span class="p">[</span><span class="n">i</span><span class="p">])</span>
  130. <span class="n">b</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">matrix</span><span class="p">(</span><span class="n">tmp_b</span><span class="p">)</span><span class="o">.</span><span class="n">T</span>
  131. <span class="n">A</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">matrix</span><span class="p">(</span><span class="n">tmp_A</span><span class="p">)</span>
  132. <span class="n">fit</span> <span class="o">=</span> <span class="p">(</span><span class="n">A</span><span class="o">.</span><span class="n">T</span> <span class="o">*</span> <span class="n">A</span><span class="p">)</span><span class="o">.</span><span class="n">I</span> <span class="o">*</span> <span class="n">A</span><span class="o">.</span><span class="n">T</span> <span class="o">*</span> <span class="n">b</span>
  133. <span class="n">errors</span> <span class="o">=</span> <span class="n">b</span> <span class="o">-</span> <span class="n">A</span> <span class="o">*</span> <span class="n">fit</span>
  134. <span class="c1"># get absolute values from errors</span>
  135. <span class="n">errors</span> <span class="o">=</span> <span class="nb">abs</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">errors</span><span class="p">))</span>
  136. <span class="k">return</span> <span class="p">(</span><span class="n">errors</span><span class="o">.</span><span class="n">max</span><span class="p">()</span> <span class="o">-</span> <span class="n">errors</span><span class="o">.</span><span class="n">min</span><span class="p">())</span></div>
  137. <span class="k">def</span> <span class="nf">_bilateral_diff</span><span class="p">(</span><span class="n">window</span><span class="p">,</span> <span class="n">func</span><span class="p">):</span>
  138. <span class="sd">&quot;&quot;&quot;Main bilateral difference kernel to use with convolution process on image</span>
  139. <span class="sd"> Apply difference pixel to pixel and keep max on min difference before applying mean</span>
  140. <span class="sd"> Args:</span>
  141. <span class="sd"> window: the window part to use from image</span>
  142. <span class="sd"> func: max or min function to get difference between pixels</span>
  143. <span class="sd"> Returns:</span>
  144. <span class="sd"> mean of max or min difference of pixels</span>
  145. <span class="sd"> &quot;&quot;&quot;</span>
  146. <span class="n">window</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">window</span><span class="p">)</span>
  147. <span class="n">width</span><span class="p">,</span> <span class="n">height</span> <span class="o">=</span> <span class="n">window</span><span class="o">.</span><span class="n">shape</span>
  148. <span class="n">total_row_diff_list</span> <span class="o">=</span> <span class="p">[]</span>
  149. <span class="n">total_col_diff_list</span> <span class="o">=</span> <span class="p">[]</span>
  150. <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">width</span><span class="p">):</span>
  151. <span class="n">row_diff_list</span> <span class="o">=</span> <span class="p">[]</span>
  152. <span class="n">col_diff_list</span> <span class="o">=</span> <span class="p">[]</span>
  153. <span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">height</span><span class="p">):</span>
  154. <span class="n">diff_row</span> <span class="o">=</span> <span class="mi">0</span>
  155. <span class="k">if</span> <span class="n">i</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span>
  156. <span class="n">diff_row</span> <span class="o">=</span> <span class="nb">abs</span><span class="p">(</span><span class="n">window</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span> <span class="o">-</span> <span class="n">window</span><span class="p">[</span><span class="n">i</span> <span class="o">+</span> <span class="mi">1</span><span class="p">][</span><span class="n">j</span><span class="p">])</span>
  157. <span class="k">elif</span> <span class="n">i</span> <span class="o">==</span> <span class="n">width</span> <span class="o">-</span> <span class="mi">1</span><span class="p">:</span>
  158. <span class="n">diff_row</span> <span class="o">=</span> <span class="nb">abs</span><span class="p">(</span><span class="n">window</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span> <span class="o">-</span> <span class="n">window</span><span class="p">[</span><span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">][</span><span class="n">j</span><span class="p">])</span>
  159. <span class="k">else</span><span class="p">:</span>
  160. <span class="n">diff1</span> <span class="o">=</span> <span class="nb">abs</span><span class="p">(</span><span class="n">window</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span> <span class="o">-</span> <span class="n">window</span><span class="p">[</span><span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">][</span><span class="n">j</span><span class="p">])</span>
  161. <span class="n">diff2</span> <span class="o">=</span> <span class="nb">abs</span><span class="p">(</span><span class="n">window</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span> <span class="o">-</span> <span class="n">window</span><span class="p">[</span><span class="n">i</span> <span class="o">+</span> <span class="mi">1</span><span class="p">][</span><span class="n">j</span><span class="p">])</span>
  162. <span class="n">diff_row</span> <span class="o">=</span> <span class="n">func</span><span class="p">(</span><span class="n">diff1</span><span class="p">,</span> <span class="n">diff2</span><span class="p">)</span>
  163. <span class="k">if</span> <span class="n">j</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span>
  164. <span class="n">diff_col</span> <span class="o">=</span> <span class="nb">abs</span><span class="p">(</span><span class="n">window</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span> <span class="o">-</span> <span class="n">window</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span> <span class="o">+</span> <span class="mi">1</span><span class="p">])</span>
  165. <span class="k">elif</span> <span class="n">j</span> <span class="o">==</span> <span class="n">height</span> <span class="o">-</span> <span class="mi">1</span><span class="p">:</span>
  166. <span class="n">diff_col</span> <span class="o">=</span> <span class="nb">abs</span><span class="p">(</span><span class="n">window</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span> <span class="o">-</span> <span class="n">window</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span> <span class="o">-</span> <span class="mi">1</span><span class="p">])</span>
  167. <span class="k">else</span><span class="p">:</span>
  168. <span class="n">diff1</span> <span class="o">=</span> <span class="nb">abs</span><span class="p">(</span><span class="n">window</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span> <span class="o">-</span> <span class="n">window</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span> <span class="o">-</span> <span class="mi">1</span><span class="p">])</span>
  169. <span class="n">diff2</span> <span class="o">=</span> <span class="nb">abs</span><span class="p">(</span><span class="n">window</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span> <span class="o">-</span> <span class="n">window</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span> <span class="o">+</span> <span class="mi">1</span><span class="p">])</span>
  170. <span class="n">diff_col</span> <span class="o">=</span> <span class="n">func</span><span class="p">(</span><span class="n">diff1</span><span class="p">,</span> <span class="n">diff2</span><span class="p">)</span>
  171. <span class="n">row_diff_list</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">diff_row</span><span class="p">)</span>
  172. <span class="n">col_diff_list</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">diff_col</span><span class="p">)</span>
  173. <span class="n">total_row_diff_list</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="nb">sum</span><span class="p">(</span><span class="n">row_diff_list</span><span class="p">)</span> <span class="o">/</span> <span class="nb">len</span><span class="p">(</span><span class="n">row_diff_list</span><span class="p">))</span>
  174. <span class="n">total_col_diff_list</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="nb">sum</span><span class="p">(</span><span class="n">col_diff_list</span><span class="p">)</span> <span class="o">/</span> <span class="nb">len</span><span class="p">(</span><span class="n">col_diff_list</span><span class="p">))</span>
  175. <span class="n">row_diff</span> <span class="o">=</span> <span class="nb">sum</span><span class="p">(</span><span class="n">total_row_diff_list</span><span class="p">)</span> <span class="o">/</span> <span class="nb">len</span><span class="p">(</span><span class="n">total_row_diff_list</span><span class="p">)</span>
  176. <span class="n">col_diff</span> <span class="o">=</span> <span class="nb">sum</span><span class="p">(</span><span class="n">total_col_diff_list</span><span class="p">)</span> <span class="o">/</span> <span class="nb">len</span><span class="p">(</span><span class="n">total_col_diff_list</span><span class="p">)</span>
  177. <span class="k">return</span> <span class="n">func</span><span class="p">(</span><span class="n">row_diff</span><span class="p">,</span> <span class="n">col_diff</span><span class="p">)</span>
  178. <div class="viewcode-block" id="max_bilateral_diff"><a class="viewcode-back" href="../../../ipfml/ipfml.filters.kernels.html#ipfml.filters.kernels.max_bilateral_diff">[docs]</a><span class="k">def</span> <span class="nf">max_bilateral_diff</span><span class="p">(</span><span class="n">window</span><span class="p">):</span>
  179. <span class="sd">&quot;&quot;&quot;Bilateral difference kernel to use with convolution process on image</span>
  180. <span class="sd"> Apply difference pixel to pixel and keep max difference before applying mean</span>
  181. <span class="sd"> Args:</span>
  182. <span class="sd"> window: the window part to use from image</span>
  183. <span class="sd"> Returns:</span>
  184. <span class="sd"> mean of max difference of pixels</span>
  185. <span class="sd"> Example:</span>
  186. <span class="sd"> &gt;&gt;&gt; from ipfml.filters.kernels import max_bilateral_diff</span>
  187. <span class="sd"> &gt;&gt;&gt; import numpy as np</span>
  188. <span class="sd"> &gt;&gt;&gt; window = np.arange(9).reshape([3, 3])</span>
  189. <span class="sd"> &gt;&gt;&gt; result = max_bilateral_diff(window)</span>
  190. <span class="sd"> &gt;&gt;&gt; result</span>
  191. <span class="sd"> 3.0</span>
  192. <span class="sd"> &quot;&quot;&quot;</span>
  193. <span class="k">return</span> <span class="n">_bilateral_diff</span><span class="p">(</span><span class="n">window</span><span class="p">,</span> <span class="nb">max</span><span class="p">)</span></div>
  194. <div class="viewcode-block" id="min_bilateral_diff"><a class="viewcode-back" href="../../../ipfml/ipfml.filters.kernels.html#ipfml.filters.kernels.min_bilateral_diff">[docs]</a><span class="k">def</span> <span class="nf">min_bilateral_diff</span><span class="p">(</span><span class="n">window</span><span class="p">):</span>
  195. <span class="sd">&quot;&quot;&quot;Bilateral difference kernel to use with convolution process on image</span>
  196. <span class="sd"> Apply difference pixel to pixel and keep min difference before applying mean</span>
  197. <span class="sd"> Args:</span>
  198. <span class="sd"> window: the window part to use from image</span>
  199. <span class="sd"> Returns:</span>
  200. <span class="sd"> mean of min difference of pixels</span>
  201. <span class="sd"> Example:</span>
  202. <span class="sd"> &gt;&gt;&gt; from ipfml.filters.kernels import min_bilateral_diff</span>
  203. <span class="sd"> &gt;&gt;&gt; import numpy as np</span>
  204. <span class="sd"> &gt;&gt;&gt; window = np.arange(9).reshape([3, 3])</span>
  205. <span class="sd"> &gt;&gt;&gt; result = min_bilateral_diff(window)</span>
  206. <span class="sd"> &gt;&gt;&gt; result</span>
  207. <span class="sd"> 1.0</span>
  208. <span class="sd"> &quot;&quot;&quot;</span>
  209. <span class="k">return</span> <span class="n">_bilateral_diff</span><span class="p">(</span><span class="n">window</span><span class="p">,</span> <span class="nb">min</span><span class="p">)</span></div>
  210. </pre></div>
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