processing.html 27 KB

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  62. <h1>Source code for ipfml.processing</h1><div class="highlight"><pre>
  63. <span></span><span class="sd">&quot;&quot;&quot;</span>
  64. <span class="sd">Functions to quickly extract reduced information from image</span>
  65. <span class="sd">&quot;&quot;&quot;</span>
  66. <span class="kn">from</span> <span class="nn">PIL</span> <span class="k">import</span> <span class="n">Image</span>
  67. <span class="kn">from</span> <span class="nn">matplotlib</span> <span class="k">import</span> <span class="n">cm</span>
  68. <span class="kn">import</span> <span class="nn">random</span>
  69. <span class="kn">from</span> <span class="nn">skimage</span> <span class="k">import</span> <span class="n">color</span>
  70. <span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
  71. <span class="kn">import</span> <span class="nn">ipfml.metrics</span> <span class="k">as</span> <span class="nn">metrics</span>
  72. <span class="kn">import</span> <span class="nn">cv2</span>
  73. <span class="kn">from</span> <span class="nn">scipy</span> <span class="k">import</span> <span class="n">signal</span>
  74. <div class="viewcode-block" id="get_LAB_L_SVD"><a class="viewcode-back" href="../../ipfml/ipfml.processing.html#ipfml.processing.get_LAB_L_SVD">[docs]</a><span class="k">def</span> <span class="nf">get_LAB_L_SVD</span><span class="p">(</span><span class="n">image</span><span class="p">):</span>
  75. <span class="sd">&quot;&quot;&quot;Returns Singular values from LAB L Image information</span>
  76. <span class="sd"> Args:</span>
  77. <span class="sd"> image: PIL Image or Numpy array</span>
  78. <span class="sd"> Returns:</span>
  79. <span class="sd"> U, s, V information obtained from SVD compression using Lab</span>
  80. <span class="sd"> Example:</span>
  81. <span class="sd"> &gt;&gt;&gt; from PIL import Image</span>
  82. <span class="sd"> &gt;&gt;&gt; from ipfml import processing</span>
  83. <span class="sd"> &gt;&gt;&gt; img = Image.open(&#39;./images/test_img.png&#39;)</span>
  84. <span class="sd"> &gt;&gt;&gt; U, s, V = processing.get_LAB_L_SVD(img)</span>
  85. <span class="sd"> &gt;&gt;&gt; U.shape</span>
  86. <span class="sd"> (200, 200)</span>
  87. <span class="sd"> &gt;&gt;&gt; len(s)</span>
  88. <span class="sd"> 200</span>
  89. <span class="sd"> &gt;&gt;&gt; V.shape</span>
  90. <span class="sd"> (200, 200)</span>
  91. <span class="sd"> &quot;&quot;&quot;</span>
  92. <span class="n">L</span> <span class="o">=</span> <span class="n">metrics</span><span class="o">.</span><span class="n">get_LAB_L</span><span class="p">(</span><span class="n">image</span><span class="p">)</span>
  93. <span class="k">return</span> <span class="n">metrics</span><span class="o">.</span><span class="n">get_SVD</span><span class="p">(</span><span class="n">L</span><span class="p">)</span></div>
  94. <div class="viewcode-block" id="get_LAB_L_SVD_s"><a class="viewcode-back" href="../../ipfml/ipfml.processing.html#ipfml.processing.get_LAB_L_SVD_s">[docs]</a><span class="k">def</span> <span class="nf">get_LAB_L_SVD_s</span><span class="p">(</span><span class="n">image</span><span class="p">):</span>
  95. <span class="sd">&quot;&quot;&quot;Returns s (Singular values) SVD from L of LAB Image information</span>
  96. <span class="sd"> Args:</span>
  97. <span class="sd"> image: PIL Image or Numpy array</span>
  98. <span class="sd"> Returns:</span>
  99. <span class="sd"> vector of singular values</span>
  100. <span class="sd"> Example:</span>
  101. <span class="sd"> &gt;&gt;&gt; from PIL import Image</span>
  102. <span class="sd"> &gt;&gt;&gt; from ipfml import processing</span>
  103. <span class="sd"> &gt;&gt;&gt; img = Image.open(&#39;./images/test_img.png&#39;)</span>
  104. <span class="sd"> &gt;&gt;&gt; s = processing.get_LAB_L_SVD_s(img)</span>
  105. <span class="sd"> &gt;&gt;&gt; len(s)</span>
  106. <span class="sd"> 200</span>
  107. <span class="sd"> &quot;&quot;&quot;</span>
  108. <span class="n">L</span> <span class="o">=</span> <span class="n">metrics</span><span class="o">.</span><span class="n">get_LAB_L</span><span class="p">(</span><span class="n">image</span><span class="p">)</span>
  109. <span class="k">return</span> <span class="n">metrics</span><span class="o">.</span><span class="n">get_SVD_s</span><span class="p">(</span><span class="n">L</span><span class="p">)</span></div>
  110. <div class="viewcode-block" id="get_LAB_L_SVD_U"><a class="viewcode-back" href="../../ipfml/ipfml.processing.html#ipfml.processing.get_LAB_L_SVD_U">[docs]</a><span class="k">def</span> <span class="nf">get_LAB_L_SVD_U</span><span class="p">(</span><span class="n">image</span><span class="p">):</span>
  111. <span class="sd">&quot;&quot;&quot;Returns U SVD from L of LAB Image information</span>
  112. <span class="sd"> Args:</span>
  113. <span class="sd"> image: PIL Image or Numpy array</span>
  114. <span class="sd"> Returns:</span>
  115. <span class="sd"> U matrix of SVD compression</span>
  116. <span class="sd"> Example:</span>
  117. <span class="sd"> &gt;&gt;&gt; from PIL import Image</span>
  118. <span class="sd"> &gt;&gt;&gt; from ipfml import processing</span>
  119. <span class="sd"> &gt;&gt;&gt; img = Image.open(&#39;./images/test_img.png&#39;)</span>
  120. <span class="sd"> &gt;&gt;&gt; U = processing.get_LAB_L_SVD_U(img)</span>
  121. <span class="sd"> &gt;&gt;&gt; U.shape</span>
  122. <span class="sd"> (200, 200)</span>
  123. <span class="sd"> &quot;&quot;&quot;</span>
  124. <span class="n">L</span> <span class="o">=</span> <span class="n">metrics</span><span class="o">.</span><span class="n">get_LAB_L</span><span class="p">(</span><span class="n">image</span><span class="p">)</span>
  125. <span class="k">return</span> <span class="n">metrics</span><span class="o">.</span><span class="n">get_SVD_U</span><span class="p">(</span><span class="n">L</span><span class="p">)</span></div>
  126. <div class="viewcode-block" id="get_LAB_L_SVD_V"><a class="viewcode-back" href="../../ipfml/ipfml.processing.html#ipfml.processing.get_LAB_L_SVD_V">[docs]</a><span class="k">def</span> <span class="nf">get_LAB_L_SVD_V</span><span class="p">(</span><span class="n">image</span><span class="p">):</span>
  127. <span class="sd">&quot;&quot;&quot;Returns V SVD from L of LAB Image information</span>
  128. <span class="sd"> Args:</span>
  129. <span class="sd"> image: PIL Image or Numpy array</span>
  130. <span class="sd"> Returns:</span>
  131. <span class="sd"> V matrix of SVD compression</span>
  132. <span class="sd"> Example:</span>
  133. <span class="sd"> &gt;&gt;&gt; from PIL import Image</span>
  134. <span class="sd"> &gt;&gt;&gt; from ipfml import processing</span>
  135. <span class="sd"> &gt;&gt;&gt; img = Image.open(&#39;./images/test_img.png&#39;)</span>
  136. <span class="sd"> &gt;&gt;&gt; V = processing.get_LAB_L_SVD_V(img)</span>
  137. <span class="sd"> &gt;&gt;&gt; V.shape</span>
  138. <span class="sd"> (200, 200)</span>
  139. <span class="sd"> &quot;&quot;&quot;</span>
  140. <span class="n">L</span> <span class="o">=</span> <span class="n">metrics</span><span class="o">.</span><span class="n">get_LAB_L</span><span class="p">(</span><span class="n">image</span><span class="p">)</span>
  141. <span class="k">return</span> <span class="n">metrics</span><span class="o">.</span><span class="n">get_SVD_V</span><span class="p">(</span><span class="n">L</span><span class="p">)</span></div>
  142. <div class="viewcode-block" id="divide_in_blocks"><a class="viewcode-back" href="../../ipfml/ipfml.processing.html#ipfml.processing.divide_in_blocks">[docs]</a><span class="k">def</span> <span class="nf">divide_in_blocks</span><span class="p">(</span><span class="n">image</span><span class="p">,</span> <span class="n">block_size</span><span class="p">,</span> <span class="n">pil</span><span class="o">=</span><span class="kc">True</span><span class="p">):</span>
  143. <span class="sd">&#39;&#39;&#39;Divide image into equal size blocks</span>
  144. <span class="sd"> Args:</span>
  145. <span class="sd"> image: PIL Image or Numpy array</span>
  146. <span class="sd"> block: tuple (width, height) representing the size of each dimension of the block</span>
  147. <span class="sd"> pil: block type returned (default True)</span>
  148. <span class="sd"> Returns:</span>
  149. <span class="sd"> list containing all 2D Numpy blocks (in RGB or not)</span>
  150. <span class="sd"> Raises:</span>
  151. <span class="sd"> ValueError: If `image_width` or `image_heigt` are not compatible to produce correct block sizes</span>
  152. <span class="sd"> Example:</span>
  153. <span class="sd"> &gt;&gt;&gt; import numpy as np</span>
  154. <span class="sd"> &gt;&gt;&gt; from PIL import Image</span>
  155. <span class="sd"> &gt;&gt;&gt; from ipfml import processing</span>
  156. <span class="sd"> &gt;&gt;&gt; from ipfml import metrics</span>
  157. <span class="sd"> &gt;&gt;&gt; image_values = np.random.randint(255, size=(800, 800, 3))</span>
  158. <span class="sd"> &gt;&gt;&gt; blocks = divide_in_blocks(image_values, (20, 20))</span>
  159. <span class="sd"> &gt;&gt;&gt; len(blocks)</span>
  160. <span class="sd"> 1600</span>
  161. <span class="sd"> &gt;&gt;&gt; blocks[0].width</span>
  162. <span class="sd"> 20</span>
  163. <span class="sd"> &gt;&gt;&gt; blocks[0].height</span>
  164. <span class="sd"> 20</span>
  165. <span class="sd"> &gt;&gt;&gt; img_l = Image.open(&#39;./images/test_img.png&#39;)</span>
  166. <span class="sd"> &gt;&gt;&gt; L = metrics.get_LAB_L(img_l)</span>
  167. <span class="sd"> &gt;&gt;&gt; blocks_L = divide_in_blocks(L, (100, 100))</span>
  168. <span class="sd"> &gt;&gt;&gt; len(blocks_L)</span>
  169. <span class="sd"> 4</span>
  170. <span class="sd"> &gt;&gt;&gt; blocks_L[0].width</span>
  171. <span class="sd"> 100</span>
  172. <span class="sd"> &#39;&#39;&#39;</span>
  173. <span class="n">blocks</span> <span class="o">=</span> <span class="p">[]</span>
  174. <span class="n">mode</span> <span class="o">=</span> <span class="s1">&#39;RGB&#39;</span>
  175. <span class="c1"># convert in Numpy array</span>
  176. <span class="n">image_array</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">image</span><span class="p">)</span>
  177. <span class="c1"># check dimension of input image</span>
  178. <span class="k">if</span> <span class="n">image_array</span><span class="o">.</span><span class="n">ndim</span> <span class="o">!=</span> <span class="mi">3</span><span class="p">:</span>
  179. <span class="n">mode</span> <span class="o">=</span> <span class="s1">&#39;L&#39;</span>
  180. <span class="n">image_width</span><span class="p">,</span> <span class="n">image_height</span> <span class="o">=</span> <span class="n">image_array</span><span class="o">.</span><span class="n">shape</span>
  181. <span class="k">else</span><span class="p">:</span>
  182. <span class="n">image_width</span><span class="p">,</span> <span class="n">image_height</span><span class="p">,</span> <span class="n">_</span> <span class="o">=</span> <span class="n">image_array</span><span class="o">.</span><span class="n">shape</span>
  183. <span class="c1"># check size compatibility</span>
  184. <span class="n">width</span><span class="p">,</span> <span class="n">height</span> <span class="o">=</span> <span class="n">block_size</span>
  185. <span class="k">if</span> <span class="p">(</span><span class="n">image_width</span> <span class="o">%</span> <span class="n">width</span> <span class="o">!=</span> <span class="mi">0</span><span class="p">):</span>
  186. <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span><span class="s2">&quot;Width size issue, block size not compatible&quot;</span><span class="p">)</span>
  187. <span class="k">if</span> <span class="p">(</span><span class="n">image_height</span> <span class="o">%</span> <span class="n">height</span> <span class="o">!=</span> <span class="mi">0</span><span class="p">):</span>
  188. <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span><span class="s2">&quot;Height size issue, block size not compatible&quot;</span><span class="p">)</span>
  189. <span class="n">nb_block_width</span> <span class="o">=</span> <span class="n">image_width</span> <span class="o">/</span> <span class="n">width</span>
  190. <span class="n">nb_block_height</span> <span class="o">=</span> <span class="n">image_height</span> <span class="o">/</span> <span class="n">height</span>
  191. <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">int</span><span class="p">(</span><span class="n">nb_block_width</span><span class="p">)):</span>
  192. <span class="n">begin_x</span> <span class="o">=</span> <span class="n">i</span> <span class="o">*</span> <span class="n">width</span>
  193. <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="nb">int</span><span class="p">(</span><span class="n">nb_block_height</span><span class="p">)):</span>
  194. <span class="n">begin_y</span> <span class="o">=</span> <span class="n">j</span> <span class="o">*</span> <span class="n">height</span>
  195. <span class="c1"># getting sub block information</span>
  196. <span class="n">current_block</span> <span class="o">=</span> <span class="n">image_array</span><span class="p">[</span><span class="n">begin_x</span><span class="p">:(</span><span class="n">begin_x</span> <span class="o">+</span> <span class="n">width</span><span class="p">),</span> <span class="n">begin_y</span><span class="p">:(</span>
  197. <span class="n">begin_y</span> <span class="o">+</span> <span class="n">height</span><span class="p">)]</span>
  198. <span class="k">if</span> <span class="n">pil</span><span class="p">:</span>
  199. <span class="n">blocks</span><span class="o">.</span><span class="n">append</span><span class="p">(</span>
  200. <span class="n">Image</span><span class="o">.</span><span class="n">fromarray</span><span class="p">(</span><span class="n">current_block</span><span class="o">.</span><span class="n">astype</span><span class="p">(</span><span class="s1">&#39;uint8&#39;</span><span class="p">),</span> <span class="n">mode</span><span class="p">))</span>
  201. <span class="k">else</span><span class="p">:</span>
  202. <span class="n">blocks</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">current_block</span><span class="p">)</span>
  203. <span class="k">return</span> <span class="n">blocks</span></div>
  204. <div class="viewcode-block" id="rgb_to_mscn"><a class="viewcode-back" href="../../ipfml/ipfml.processing.html#ipfml.processing.rgb_to_mscn">[docs]</a><span class="k">def</span> <span class="nf">rgb_to_mscn</span><span class="p">(</span><span class="n">image</span><span class="p">):</span>
  205. <span class="sd">&quot;&quot;&quot;Convert RGB Image into Mean Subtracted Contrast Normalized (MSCN)</span>
  206. <span class="sd"> Args:</span>
  207. <span class="sd"> image: 3D RGB image Numpy array or PIL RGB image</span>
  208. <span class="sd"> Returns:</span>
  209. <span class="sd"> 2D Numpy array with MSCN information</span>
  210. <span class="sd"> Example:</span>
  211. <span class="sd"> &gt;&gt;&gt; from PIL import Image</span>
  212. <span class="sd"> &gt;&gt;&gt; from ipfml import processing</span>
  213. <span class="sd"> &gt;&gt;&gt; img = Image.open(&#39;./images/test_img.png&#39;)</span>
  214. <span class="sd"> &gt;&gt;&gt; img_mscn = processing.rgb_to_mscn(img)</span>
  215. <span class="sd"> &gt;&gt;&gt; img_mscn.shape</span>
  216. <span class="sd"> (200, 200)</span>
  217. <span class="sd"> &quot;&quot;&quot;</span>
  218. <span class="c1"># check if PIL image or not</span>
  219. <span class="n">img_arr</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">image</span><span class="p">)</span>
  220. <span class="c1"># convert rgb image to gray</span>
  221. <span class="n">im</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">color</span><span class="o">.</span><span class="n">rgb2gray</span><span class="p">(</span><span class="n">img_arr</span><span class="p">)</span> <span class="o">*</span> <span class="mi">255</span><span class="p">,</span> <span class="s1">&#39;uint8&#39;</span><span class="p">)</span>
  222. <span class="k">return</span> <span class="n">metrics</span><span class="o">.</span><span class="n">gray_to_mscn</span><span class="p">(</span><span class="n">im</span><span class="p">)</span></div>
  223. <div class="viewcode-block" id="rgb_to_grey_low_bits"><a class="viewcode-back" href="../../ipfml/ipfml.processing.html#ipfml.processing.rgb_to_grey_low_bits">[docs]</a><span class="k">def</span> <span class="nf">rgb_to_grey_low_bits</span><span class="p">(</span><span class="n">image</span><span class="p">,</span> <span class="n">nb_bits</span><span class="o">=</span><span class="mi">4</span><span class="p">):</span>
  224. <span class="sd">&quot;&quot;&quot;Convert RGB Image into grey image using only 4 low bits values</span>
  225. <span class="sd"> Args:</span>
  226. <span class="sd"> image: 3D RGB image Numpy array or PIL RGB image</span>
  227. <span class="sd"> nb_bits: optional parameter which indicates the number of bits to keep (default 4)</span>
  228. <span class="sd"> Returns:</span>
  229. <span class="sd"> 2D Numpy array with low bits information kept</span>
  230. <span class="sd"> Example:</span>
  231. <span class="sd"> &gt;&gt;&gt; from PIL import Image</span>
  232. <span class="sd"> &gt;&gt;&gt; from ipfml import processing</span>
  233. <span class="sd"> &gt;&gt;&gt; img = Image.open(&#39;./images/test_img.png&#39;)</span>
  234. <span class="sd"> &gt;&gt;&gt; low_bits_grey_img = processing.rgb_to_grey_low_bits(img, 5)</span>
  235. <span class="sd"> &gt;&gt;&gt; low_bits_grey_img.shape</span>
  236. <span class="sd"> (200, 200)</span>
  237. <span class="sd"> &quot;&quot;&quot;</span>
  238. <span class="n">img_arr</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">image</span><span class="p">)</span>
  239. <span class="n">grey_block</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">color</span><span class="o">.</span><span class="n">rgb2gray</span><span class="p">(</span><span class="n">img_arr</span><span class="p">)</span> <span class="o">*</span> <span class="mi">255</span><span class="p">,</span> <span class="s1">&#39;uint8&#39;</span><span class="p">)</span>
  240. <span class="k">return</span> <span class="n">metrics</span><span class="o">.</span><span class="n">get_low_bits_img</span><span class="p">(</span><span class="n">grey_block</span><span class="p">,</span> <span class="n">nb_bits</span><span class="p">)</span></div>
  241. <div class="viewcode-block" id="rgb_to_LAB_L_low_bits"><a class="viewcode-back" href="../../ipfml/ipfml.processing.html#ipfml.processing.rgb_to_LAB_L_low_bits">[docs]</a><span class="k">def</span> <span class="nf">rgb_to_LAB_L_low_bits</span><span class="p">(</span><span class="n">image</span><span class="p">,</span> <span class="n">nb_bits</span><span class="o">=</span><span class="mi">4</span><span class="p">):</span>
  242. <span class="sd">&quot;&quot;&quot;Convert RGB Image into Lab L channel image using only 4 low bits values</span>
  243. <span class="sd"> Args:</span>
  244. <span class="sd"> image: 3D RGB image Numpy array or PIL RGB image</span>
  245. <span class="sd"> nb_bits: optional parameter which indicates the number of bits to keep (default 4)</span>
  246. <span class="sd"> Returns:</span>
  247. <span class="sd"> 2D Numpy array with low bits information kept</span>
  248. <span class="sd"> Example:</span>
  249. <span class="sd"> &gt;&gt;&gt; from PIL import Image</span>
  250. <span class="sd"> &gt;&gt;&gt; from ipfml import processing</span>
  251. <span class="sd"> &gt;&gt;&gt; img = Image.open(&#39;./images/test_img.png&#39;)</span>
  252. <span class="sd"> &gt;&gt;&gt; low_bits_Lab_l_img = processing.rgb_to_LAB_L_low_bits(img, 5)</span>
  253. <span class="sd"> &gt;&gt;&gt; low_bits_Lab_l_img.shape</span>
  254. <span class="sd"> (200, 200)</span>
  255. <span class="sd"> &quot;&quot;&quot;</span>
  256. <span class="n">L_block</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">asarray</span><span class="p">(</span><span class="n">metrics</span><span class="o">.</span><span class="n">get_LAB_L</span><span class="p">(</span><span class="n">image</span><span class="p">),</span> <span class="s1">&#39;uint8&#39;</span><span class="p">)</span>
  257. <span class="k">return</span> <span class="n">metrics</span><span class="o">.</span><span class="n">get_low_bits_img</span><span class="p">(</span><span class="n">L_block</span><span class="p">,</span> <span class="n">nb_bits</span><span class="p">)</span></div>
  258. <div class="viewcode-block" id="rgb_to_LAB_L_bits"><a class="viewcode-back" href="../../ipfml/ipfml.processing.html#ipfml.processing.rgb_to_LAB_L_bits">[docs]</a><span class="k">def</span> <span class="nf">rgb_to_LAB_L_bits</span><span class="p">(</span><span class="n">image</span><span class="p">,</span> <span class="n">interval</span><span class="p">):</span>
  259. <span class="sd">&quot;&quot;&quot;Returns only bits from LAB L canal specified into the interval</span>
  260. <span class="sd"> Args:</span>
  261. <span class="sd"> image: image to convert using this interval of bits value to keep</span>
  262. <span class="sd"> interval: (begin, end) of bits values</span>
  263. <span class="sd"> Returns:</span>
  264. <span class="sd"> 2D Numpy array with reduced values</span>
  265. <span class="sd"> &gt;&gt;&gt; from PIL import Image</span>
  266. <span class="sd"> &gt;&gt;&gt; from ipfml import processing</span>
  267. <span class="sd"> &gt;&gt;&gt; img = Image.open(&#39;./images/test_img.png&#39;)</span>
  268. <span class="sd"> &gt;&gt;&gt; bits_Lab_l_img = processing.rgb_to_LAB_L_bits(img, (2, 6))</span>
  269. <span class="sd"> &gt;&gt;&gt; bits_Lab_l_img.shape</span>
  270. <span class="sd"> (200, 200)</span>
  271. <span class="sd"> &quot;&quot;&quot;</span>
  272. <span class="n">L_block</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">asarray</span><span class="p">(</span><span class="n">metrics</span><span class="o">.</span><span class="n">get_LAB_L</span><span class="p">(</span><span class="n">image</span><span class="p">),</span> <span class="s1">&#39;uint8&#39;</span><span class="p">)</span>
  273. <span class="k">return</span> <span class="n">metrics</span><span class="o">.</span><span class="n">get_bits_img</span><span class="p">(</span><span class="n">L_block</span><span class="p">,</span> <span class="n">interval</span><span class="p">)</span></div>
  274. </pre></div>
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