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- <div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">//</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Copyright 2019 Olzhas Zhumabek <anonymous.from.applecity@gmail.com></span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">//</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// Use, modification and distribution are subject to the Boost Software License,</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// http://www.boost.org/LICENSE_1_0.txt)</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="preprocessor">#ifndef BOOST_GIL_IMAGE_PROCESSING_NUMERIC_HPP</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="preprocessor">#define BOOST_GIL_IMAGE_PROCESSING_NUMERIC_HPP</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> </div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#include <boost/gil/extension/numeric/kernel.hpp></span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#include <boost/gil/extension/numeric/convolve.hpp></span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#include <boost/gil/image_view.hpp></span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include <boost/gil/typedefs.hpp></span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#include <boost/gil/detail/math.hpp></span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment">// fixes ambigious call to std::abs, https://stackoverflow.com/a/30084734/4593721</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#include <cstdlib></span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#include <cmath></span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> </div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="keyword">namespace </span>boost { <span class="keyword">namespace </span>gil {</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> </div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> normalized_sinc(<span class="keywordtype">double</span> x)</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span> {</div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordflow">return</span> std::sin(x * boost::gil::pi) / (x * boost::gil::pi);</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span> }</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div><div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gaaa4583e6d012a8b49ad1738cec762651"> 45</a></span> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="group___image_processing_math.html#gaaa4583e6d012a8b49ad1738cec762651">lanczos</a>(<span class="keywordtype">double</span> x, std::ptrdiff_t a)</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span> {</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="comment">// means == but <= avoids compiler warning</span></div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keywordflow">if</span> (0 <= x && x <= 0)</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordflow">return</span> 1;</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span> </div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keywordflow">if</span> (-a < x && x < a)</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">return</span> normalized_sinc(x) / normalized_sinc(x / static_cast<double>(a));</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span> </div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">return</span> 0;</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span> }</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span> </div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> compute_tensor_entries(</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  boost::gil::gray16s_view_t dx,</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  boost::gil::gray16s_view_t dy,</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  boost::gil::gray32f_view_t m11,</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  boost::gil::gray32f_view_t m12_21,</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  boost::gil::gray32f_view_t m22)</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span> {</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordflow">for</span> (std::ptrdiff_t y = 0; y < dx.height(); ++y) {</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">for</span> (std::ptrdiff_t x = 0; x < dx.width(); ++x) {</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keyword">auto</span> dx_value = dx(x, y);</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keyword">auto</span> dy_value = dy(x, y);</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  m11(x, y) = dx_value * dx_value;</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  m12_21(x, y) = dx_value * dy_value;</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  m22(x, y) = dy_value * dy_value;</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  }</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span> }</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span> </div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="keyword">template</span> <<span class="keyword">typename</span> T = <span class="keywordtype">float</span>, <span class="keyword">typename</span> Allocator = std::allocator<T>></div><div class="line"><a name="l00082"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga29d420198670c0445e58a0e428ef9230"> 82</a></span> <span class="keyword">inline</span> detail::kernel_2d<T, Allocator> <a class="code" href="group___image_processing_math.html#ga29d420198670c0445e58a0e428ef9230">generate_normalized_mean</a>(std::size_t side_length)</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span> {</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">if</span> (side_length % 2 != 1)</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"kernel dimensions should be odd and equal"</span>);</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> entry = 1.0f / static_cast<float>(side_length * side_length);</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span> </div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  detail::kernel_2d<T, Allocator> result(side_length, side_length / 2, side_length / 2);</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordflow">for</span> (<span class="keyword">auto</span>& cell: result) {</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  cell = entry;</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  }</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span> </div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span> }</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span> </div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="keyword">template</span> <<span class="keyword">typename</span> T = <span class="keywordtype">float</span>, <span class="keyword">typename</span> Allocator = std::allocator<T>></div><div class="line"><a name="l00101"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga182587a9a3438ba3eab25a476bbad777"> 101</a></span> <span class="keyword">inline</span> detail::kernel_2d<T, Allocator> <a class="code" href="group___image_processing_math.html#ga182587a9a3438ba3eab25a476bbad777">generate_unnormalized_mean</a>(std::size_t side_length)</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span> {</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">if</span> (side_length % 2 != 1)</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"kernel dimensions should be odd and equal"</span>);</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span> </div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  detail::kernel_2d<T, Allocator> result(side_length, side_length / 2, side_length / 2);</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">for</span> (<span class="keyword">auto</span>& cell: result) {</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  cell = 1.0f;</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  }</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span> </div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span> }</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span> </div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="keyword">template</span> <<span class="keyword">typename</span> T = <span class="keywordtype">float</span>, <span class="keyword">typename</span> Allocator = std::allocator<T>></div><div class="line"><a name="l00120"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gac1aaebf1673d8b0f087ed851b5b7a47d"> 120</a></span> <span class="keyword">inline</span> detail::kernel_2d<T, Allocator> <a class="code" href="group___image_processing_math.html#gac1aaebf1673d8b0f087ed851b5b7a47d">generate_gaussian_kernel</a>(std::size_t side_length, <span class="keywordtype">double</span> sigma)</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span> {</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keywordflow">if</span> (side_length % 2 != 1)</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"kernel dimensions should be odd and equal"</span>);</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span> </div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span> </div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> denominator = 2 * boost::gil::pi * sigma * sigma;</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keyword">auto</span> middle = side_length / 2;</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  std::vector<T, Allocator> values(side_length * side_length);</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordflow">for</span> (std::size_t y = 0; y < side_length; ++y)</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  {</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keywordflow">for</span> (std::size_t x = 0; x < side_length; ++x)</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  {</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keyword">const</span> <span class="keyword">auto</span> delta_x = middle > x ? middle - x : x - middle;</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keyword">const</span> <span class="keyword">auto</span> delta_y = middle > y ? middle - y : y - middle;</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> power = (delta_x * delta_x + delta_y * delta_y) / (2 * sigma * sigma);</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> nominator = std::exp(-power);</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> value = static_cast<float>(nominator / denominator);</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  values[y * side_length + x] = value;</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  }</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  }</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span> </div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordflow">return</span> detail::kernel_2d<T, Allocator>(values.begin(), values.size(), middle, middle);</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span> }</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span> </div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="keyword">template</span> <<span class="keyword">typename</span> T = <span class="keywordtype">float</span>, <span class="keyword">typename</span> Allocator = std::allocator<T>></div><div class="line"><a name="l00153"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gaadc550b82ba9119bad0bbf4d358e0b73"> 153</a></span> <span class="keyword">inline</span> detail::kernel_2d<T, Allocator> <a class="code" href="group___image_processing_math.html#gaadc550b82ba9119bad0bbf4d358e0b73">generate_dx_sobel</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> degree = 1)</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span> {</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keywordflow">switch</span> (degree)</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  {</div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keywordflow">case</span> 0:</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  {</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordflow">return</span> get_identity_kernel<T, Allocator>();</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  }</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordflow">case</span> 1:</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  {</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  detail::kernel_2d<T, Allocator> result(3, 1, 1);</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="group___s_t_l_optimizations.html#ga8e23fe06d31c7cce605e4bf8255e1ee9">std::copy</a>(dx_sobel.begin(), dx_sobel.end(), result.begin());</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  }</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keywordflow">default</span>:</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">"not supported yet"</span>);</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  }</div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span> </div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="comment">//to not upset compiler</span></div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">"unreachable statement"</span>);</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span> }</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span> </div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span> <span class="keyword">template</span> <<span class="keyword">typename</span> T = <span class="keywordtype">float</span>, <span class="keyword">typename</span> Allocator = std::allocator<T>></div><div class="line"><a name="l00183"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gae9b2680356c21a952cb0daf2a2c779f0"> 183</a></span> <span class="keyword">inline</span> detail::kernel_2d<T, Allocator> <a class="code" href="group___image_processing_math.html#gae9b2680356c21a952cb0daf2a2c779f0">generate_dx_scharr</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> degree = 1)</div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span> {</div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keywordflow">switch</span> (degree)</div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  {</div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">case</span> 0:</div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  {</div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keywordflow">return</span> get_identity_kernel<T, Allocator>();</div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  }</div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keywordflow">case</span> 1:</div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  {</div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  detail::kernel_2d<T, Allocator> result(3, 1, 1);</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <a class="code" href="group___s_t_l_optimizations.html#ga8e23fe06d31c7cce605e4bf8255e1ee9">std::copy</a>(dx_scharr.begin(), dx_scharr.end(), result.begin());</div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  }</div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keywordflow">default</span>:</div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">"not supported yet"</span>);</div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  }</div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span> </div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="comment">//to not upset compiler</span></div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">"unreachable statement"</span>);</div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span> }</div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span> </div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="keyword">template</span> <<span class="keyword">typename</span> T = <span class="keywordtype">float</span>, <span class="keyword">typename</span> Allocator = std::allocator<T>></div><div class="line"><a name="l00213"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga726dd0714f3e65ea9bab6b9201c16c96"> 213</a></span> <span class="keyword">inline</span> detail::kernel_2d<T, Allocator> <a class="code" href="group___image_processing_math.html#ga726dd0714f3e65ea9bab6b9201c16c96">generate_dy_sobel</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> degree = 1)</div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span> {</div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keywordflow">switch</span> (degree)</div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  {</div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keywordflow">case</span> 0:</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  {</div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keywordflow">return</span> get_identity_kernel<T, Allocator>();</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  }</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="keywordflow">case</span> 1:</div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  {</div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  detail::kernel_2d<T, Allocator> result(3, 1, 1);</div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <a class="code" href="group___s_t_l_optimizations.html#ga8e23fe06d31c7cce605e4bf8255e1ee9">std::copy</a>(dy_sobel.begin(), dy_sobel.end(), result.begin());</div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  }</div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keywordflow">default</span>:</div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">"not supported yet"</span>);</div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  }</div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span> </div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="comment">//to not upset compiler</span></div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">"unreachable statement"</span>);</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span> }</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span> </div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span> <span class="keyword">template</span> <<span class="keyword">typename</span> T = <span class="keywordtype">float</span>, <span class="keyword">typename</span> Allocator = std::allocator<T>></div><div class="line"><a name="l00243"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gad626d5b1cbd1e81ffbf638c2ec1e030c"> 243</a></span> <span class="keyword">inline</span> detail::kernel_2d<T, Allocator> <a class="code" href="group___image_processing_math.html#gad626d5b1cbd1e81ffbf638c2ec1e030c">generate_dy_scharr</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> degree = 1)</div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span> {</div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <span class="keywordflow">switch</span> (degree)</div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  {</div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keywordflow">case</span> 0:</div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  {</div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="keywordflow">return</span> get_identity_kernel<T, Allocator>();</div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  }</div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordflow">case</span> 1:</div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  {</div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  detail::kernel_2d<T, Allocator> result(3, 1, 1);</div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <a class="code" href="group___s_t_l_optimizations.html#ga8e23fe06d31c7cce605e4bf8255e1ee9">std::copy</a>(dy_scharr.begin(), dy_scharr.end(), result.begin());</div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  }</div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keywordflow">default</span>:</div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">"not supported yet"</span>);</div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  }</div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span> </div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="comment">//to not upset compiler</span></div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">"unreachable statement"</span>);</div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span> }</div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span> </div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span> <span class="keyword">template</span> <<span class="keyword">typename</span> GradientView, <span class="keyword">typename</span> OutputView></div><div class="line"><a name="l00275"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga5b662d207dd54aba778c0f8c3697c025"> 275</a></span> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="group___image_processing_math.html#ga5b662d207dd54aba778c0f8c3697c025">compute_hessian_entries</a>(</div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  GradientView dx,</div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  GradientView dy,</div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  OutputView ddxx,</div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  OutputView dxdy,</div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  OutputView ddyy)</div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span> {</div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keyword">auto</span> sobel_x = <a class="code" href="group___image_processing_math.html#gaadc550b82ba9119bad0bbf4d358e0b73">generate_dx_sobel</a>();</div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="keyword">auto</span> sobel_y = <a class="code" href="group___image_processing_math.html#ga726dd0714f3e65ea9bab6b9201c16c96">generate_dy_sobel</a>();</div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  detail::convolve_2d(dx, sobel_x, ddxx);</div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  detail::convolve_2d(dx, sobel_y, dxdy);</div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  detail::convolve_2d(dy, sobel_y, ddyy);</div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span> }</div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span> </div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span> }} <span class="comment">// namespace boost::gil</span></div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span> </div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span> <span class="preprocessor">#endif</span></div><div class="ttc" id="group___image_processing_math_html_ga726dd0714f3e65ea9bab6b9201c16c96"><div class="ttname"><a href="group___image_processing_math.html#ga726dd0714f3e65ea9bab6b9201c16c96">boost::gil::generate_dy_sobel</a></div><div class="ttdeci">detail::kernel_2d< T, Allocator > generate_dy_sobel(unsigned int degree=1)</div><div class="ttdoc">Generates Sobel operator in vertical directionGenerates a kernel which will represent Sobel operator ...</div><div class="ttdef"><b>Definition:</b> numeric.hpp:213</div></div>
- <div class="ttc" id="group___image_processing_math_html_ga5b662d207dd54aba778c0f8c3697c025"><div class="ttname"><a href="group___image_processing_math.html#ga5b662d207dd54aba778c0f8c3697c025">boost::gil::compute_hessian_entries</a></div><div class="ttdeci">void compute_hessian_entries(GradientView dx, GradientView dy, OutputView ddxx, OutputView dxdy, OutputView ddyy)</div><div class="ttdoc">Compute xy gradient, and second order x and y gradientsHessian matrix is defined as a matrix of parti...</div><div class="ttdef"><b>Definition:</b> numeric.hpp:275</div></div>
- <div class="ttc" id="group___image_processing_math_html_gaaa4583e6d012a8b49ad1738cec762651"><div class="ttname"><a href="group___image_processing_math.html#gaaa4583e6d012a8b49ad1738cec762651">boost::gil::lanczos</a></div><div class="ttdeci">double lanczos(double x, std::ptrdiff_t a)</div><div class="ttdoc">Lanczos response at point xLanczos response is defined as: x == 0: 1 -a < x && x < a: 0 otherwise: no...</div><div class="ttdef"><b>Definition:</b> numeric.hpp:45</div></div>
- <div class="ttc" id="group___s_t_l_optimizations_html_ga8e23fe06d31c7cce605e4bf8255e1ee9"><div class="ttname"><a href="group___s_t_l_optimizations.html#ga8e23fe06d31c7cce605e4bf8255e1ee9">std::copy</a></div><div class="ttdeci">BOOST_FORCEINLINE auto copy(boost::gil::pixel< T, CS > *first, boost::gil::pixel< T, CS > *last, boost::gil::pixel< T, CS > *dst) -> boost::gil::pixel< T, CS > *</div><div class="ttdoc">Copy when both src and dst are interleaved and of the same type can be just memmove.</div><div class="ttdef"><b>Definition:</b> algorithm.hpp:139</div></div>
- <div class="ttc" id="group___image_processing_math_html_gae9b2680356c21a952cb0daf2a2c779f0"><div class="ttname"><a href="group___image_processing_math.html#gae9b2680356c21a952cb0daf2a2c779f0">boost::gil::generate_dx_scharr</a></div><div class="ttdeci">detail::kernel_2d< T, Allocator > generate_dx_scharr(unsigned int degree=1)</div><div class="ttdoc">Generate Scharr operator in horizontal directionGenerates a kernel which will represent Scharr operat...</div><div class="ttdef"><b>Definition:</b> numeric.hpp:183</div></div>
- <div class="ttc" id="group___image_processing_math_html_gaadc550b82ba9119bad0bbf4d358e0b73"><div class="ttname"><a href="group___image_processing_math.html#gaadc550b82ba9119bad0bbf4d358e0b73">boost::gil::generate_dx_sobel</a></div><div class="ttdeci">detail::kernel_2d< T, Allocator > generate_dx_sobel(unsigned int degree=1)</div><div class="ttdoc">Generates Sobel operator in horizontal directionGenerates a kernel which will represent Sobel operato...</div><div class="ttdef"><b>Definition:</b> numeric.hpp:153</div></div>
- <div class="ttc" id="group___image_processing_math_html_ga182587a9a3438ba3eab25a476bbad777"><div class="ttname"><a href="group___image_processing_math.html#ga182587a9a3438ba3eab25a476bbad777">boost::gil::generate_unnormalized_mean</a></div><div class="ttdeci">detail::kernel_2d< T, Allocator > generate_unnormalized_mean(std::size_t side_length)</div><div class="ttdoc">Generate kernel with all 1sFills supplied view with 1s (ones)</div><div class="ttdef"><b>Definition:</b> numeric.hpp:101</div></div>
- <div class="ttc" id="group___image_processing_math_html_gad626d5b1cbd1e81ffbf638c2ec1e030c"><div class="ttname"><a href="group___image_processing_math.html#gad626d5b1cbd1e81ffbf638c2ec1e030c">boost::gil::generate_dy_scharr</a></div><div class="ttdeci">detail::kernel_2d< T, Allocator > generate_dy_scharr(unsigned int degree=1)</div><div class="ttdoc">Generate Scharr operator in vertical directionGenerates a kernel which will represent Scharr operator...</div><div class="ttdef"><b>Definition:</b> numeric.hpp:243</div></div>
- <div class="ttc" id="group___image_processing_math_html_gac1aaebf1673d8b0f087ed851b5b7a47d"><div class="ttname"><a href="group___image_processing_math.html#gac1aaebf1673d8b0f087ed851b5b7a47d">boost::gil::generate_gaussian_kernel</a></div><div class="ttdeci">detail::kernel_2d< T, Allocator > generate_gaussian_kernel(std::size_t side_length, double sigma)</div><div class="ttdoc">Generate Gaussian kernelFills supplied view with values taken from Gaussian distribution....</div><div class="ttdef"><b>Definition:</b> numeric.hpp:120</div></div>
- <div class="ttc" id="group___image_processing_math_html_ga29d420198670c0445e58a0e428ef9230"><div class="ttname"><a href="group___image_processing_math.html#ga29d420198670c0445e58a0e428ef9230">boost::gil::generate_normalized_mean</a></div><div class="ttdeci">detail::kernel_2d< T, Allocator > generate_normalized_mean(std::size_t side_length)</div><div class="ttdoc">Generate mean kernelFills supplied view with normalized mean in which all entries will be equal to.</div><div class="ttdef"><b>Definition:</b> numeric.hpp:82</div></div>
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