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<div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">//</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Copyright 2019 Olzhas Zhumabek &lt;anonymous.from.applecity@gmail.com&gt;</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">// Copyright 2021 Pranam Lashkari &lt;plashkari628@gmail.com&gt;</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">//</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">// Use, modification and distribution are subject to the Boost Software License,</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">// http://www.boost.org/LICENSE_1_0.txt)</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">//</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="preprocessor">#ifndef BOOST_GIL_IMAGE_PROCESSING_NUMERIC_HPP</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="preprocessor">#define BOOST_GIL_IMAGE_PROCESSING_NUMERIC_HPP</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#include &lt;boost/gil/image_processing/kernel.hpp&gt;</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include &lt;boost/gil/image_processing/convolve.hpp&gt;</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include &lt;boost/gil/image_view.hpp&gt;</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include &lt;boost/gil/typedefs.hpp&gt;</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include &lt;boost/gil/detail/math.hpp&gt;</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="comment">// fixes ambiguous call to std::abs, https://stackoverflow.com/a/30084734/4593721</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &lt;cstdlib&gt;</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceboost.html">boost</a> { <span class="keyword">namespace </span>gil {</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="keyword">inline</span> <span class="keywordtype">double</span> normalized_sinc(<span class="keywordtype">double</span> x)</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span>{</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keywordflow">return</span> std::sin(x * boost::gil::detail::pi) / (x * boost::gil::detail::pi);</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span>}</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="foldopen" id="foldopen00046" data-start="{" data-end="}">
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gae9f1ef23591e1b4a5d974090b3aef0c7"> 46</a></span><span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code hl_function" href="group___image_processing_math.html#gae9f1ef23591e1b4a5d974090b3aef0c7">lanczos</a>(<span class="keywordtype">double</span> x, std::ptrdiff_t a)</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span>{</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="comment">// means == but &lt;= avoids compiler warning</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">if</span> (0 &lt;= x &amp;&amp; x &lt;= 0)</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keywordflow">return</span> 1;</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> </div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keywordflow">if</span> (<span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(-a) &lt; x &amp;&amp; x &lt; <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(a))</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keywordflow">return</span> normalized_sinc(x) / normalized_sinc(x / <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(a));</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> </div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span>}</div>
</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> </div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span><span class="preprocessor">#if BOOST_WORKAROUND(BOOST_MSVC, &gt;= 1400)</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span><span class="preprocessor">#pragma warning(push)</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span><span class="preprocessor">#pragma warning(disable:4244) </span><span class="comment">// &#39;argument&#39;: conversion from &#39;const Channel&#39; to &#39;BaseChannelValue&#39;, possible loss of data</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> </div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span><span class="keyword">inline</span> <span class="keywordtype">void</span> compute_tensor_entries(</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> boost::gil::gray16s_view_t dx,</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> boost::gil::gray16s_view_t dy,</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> boost::gil::gray32f_view_t m11,</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> boost::gil::gray32f_view_t m12_21,</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> boost::gil::gray32f_view_t m22)</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span>{</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordflow">for</span> (std::ptrdiff_t y = 0; y &lt; dx.height(); ++y) {</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keywordflow">for</span> (std::ptrdiff_t x = 0; x &lt; dx.width(); ++x) {</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keyword">auto</span> dx_value = dx(x, y);</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keyword">auto</span> dy_value = dy(x, y);</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> m11(x, y) = dx_value * dx_value;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> m12_21(x, y) = dx_value * dy_value;</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> m22(x, y) = dy_value * dy_value;</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> }</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> }</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span>}</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> </div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span><span class="preprocessor">#if BOOST_WORKAROUND(BOOST_MSVC, &gt;= 1400)</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span><span class="preprocessor">#pragma warning(pop)</span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T = <span class="keywordtype">float</span>, <span class="keyword">typename</span> Allocator = std::allocator&lt;T&gt;&gt;</div>
<div class="foldopen" id="foldopen00092" data-start="{" data-end="}">
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gaec666d97dfea82bd6fa608bca92a6fd1"> 92</a></span><span class="keyword">inline</span> <span class="keyword">auto</span> <a class="code hl_function" href="group___image_processing_math.html#gaec666d97dfea82bd6fa608bca92a6fd1">generate_normalized_mean</a>(std::size_t side_length)</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> -&gt; <a class="code hl_class" href="classboost_1_1gil_1_1detail_1_1kernel__2d.html">detail::kernel_2d&lt;T, Allocator&gt;</a></div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span>{</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordflow">if</span> (side_length % 2 != 1)</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;kernel dimensions should be odd and equal&quot;</span>);</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keyword">const</span> <span class="keywordtype">float</span> entry = 1.0f / <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(side_length * side_length);</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> </div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <a class="code hl_class" href="classboost_1_1gil_1_1detail_1_1kernel__2d.html">detail::kernel_2d&lt;T, Allocator&gt;</a> result(side_length, side_length / 2, side_length / 2);</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span>&amp; cell: result) {</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> cell = entry;</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> }</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> </div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span>}</div>
</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T = <span class="keywordtype">float</span>, <span class="keyword">typename</span> Allocator = std::allocator&lt;T&gt;&gt;</div>
<div class="foldopen" id="foldopen00112" data-start="{" data-end="}">
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga75f408389d62130314890c81f7894ed2"> 112</a></span><span class="keyword">inline</span> <span class="keyword">auto</span> <a class="code hl_function" href="group___image_processing_math.html#ga75f408389d62130314890c81f7894ed2">generate_unnormalized_mean</a>(std::size_t side_length)</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> -&gt; <a class="code hl_class" href="classboost_1_1gil_1_1detail_1_1kernel__2d.html">detail::kernel_2d&lt;T, Allocator&gt;</a></div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span>{</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keywordflow">if</span> (side_length % 2 != 1)</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;kernel dimensions should be odd and equal&quot;</span>);</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> </div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <a class="code hl_class" href="classboost_1_1gil_1_1detail_1_1kernel__2d.html">detail::kernel_2d&lt;T, Allocator&gt;</a> result(side_length, side_length / 2, side_length / 2);</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span>&amp; cell: result) {</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> cell = 1.0f;</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> }</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> </div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span>}</div>
</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> </div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T = <span class="keywordtype">float</span>, <span class="keyword">typename</span> Allocator = std::allocator&lt;T&gt;&gt;</div>
<div class="foldopen" id="foldopen00132" data-start="{" data-end="}">
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga26eea098b8eb037c207240828fb0fdf1"> 132</a></span><span class="keyword">inline</span> <span class="keyword">auto</span> <a class="code hl_function" href="group___image_processing_math.html#ga26eea098b8eb037c207240828fb0fdf1">generate_gaussian_kernel</a>(std::size_t side_length, <span class="keywordtype">double</span> sigma)</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> -&gt; <a class="code hl_class" href="classboost_1_1gil_1_1detail_1_1kernel__2d.html">detail::kernel_2d&lt;T, Allocator&gt;</a></div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span>{</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keywordflow">if</span> (side_length % 2 != 1)</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;kernel dimensions should be odd and equal&quot;</span>);</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> </div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keyword">const</span> <span class="keywordtype">double</span> denominator = 2 * boost::gil::detail::pi * sigma * sigma;</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="keyword">auto</span> <span class="keyword">const</span> middle = side_length / 2;</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> std::vector&lt;T, Allocator&gt; values(side_length * side_length);</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> T sum{0};</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keywordflow">for</span> (std::size_t y = 0; y &lt; side_length; ++y)</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> {</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keywordflow">for</span> (std::size_t x = 0; x &lt; side_length; ++x)</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> {</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="keyword">const</span> <span class="keyword">auto</span> delta_x = x - middle;</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keyword">const</span> <span class="keyword">auto</span> delta_y = y - middle;</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="keyword">const</span> <span class="keyword">auto</span> power = <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(delta_x * delta_x + delta_y * delta_y) / (2 * sigma * sigma);</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="keyword">const</span> <span class="keywordtype">double</span> nominator = std::exp(-power);</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="keyword">const</span> <span class="keyword">auto</span> value = <span class="keyword">static_cast&lt;</span>T<span class="keyword">&gt;</span>(nominator / denominator);</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> values[y * side_length + x] = value;</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> sum += value;</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> }</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> }</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> </div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="comment">// normalize so that Gaussian kernel sums up to 1.</span></div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> std::transform(values.begin(), values.end(), values.begin(), [&amp;sum](<span class="keyword">const</span> <span class="keyword">auto</span> &amp; v) { return v/sum; });</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> </div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="keywordflow">return</span> <a class="code hl_class" href="classboost_1_1gil_1_1detail_1_1kernel__2d.html">detail::kernel_2d&lt;T, Allocator&gt;</a>(values.begin(), values.size(), middle, middle);</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span>}</div>
</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> </div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T = <span class="keywordtype">float</span>, <span class="keyword">typename</span> Allocator = std::allocator&lt;T&gt;&gt;</div>
<div class="foldopen" id="foldopen00170" data-start="{" data-end="}">
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gaabc9c7cd5876b5a7ddf1ee568d3b8553"> 170</a></span><span class="keyword">inline</span> <span class="keyword">auto</span> <a class="code hl_function" href="group___image_processing_math.html#gaabc9c7cd5876b5a7ddf1ee568d3b8553">generate_dx_sobel</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> degree = 1)</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> -&gt; <a class="code hl_class" href="classboost_1_1gil_1_1detail_1_1kernel__2d.html">detail::kernel_2d&lt;T, Allocator&gt;</a></div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span>{</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="keywordflow">switch</span> (degree)</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> {</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keywordflow">case</span> 0:</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> {</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <span class="keywordflow">return</span> detail::get_identity_kernel&lt;T, Allocator&gt;();</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> }</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="keywordflow">case</span> 1:</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> {</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <a class="code hl_class" href="classboost_1_1gil_1_1detail_1_1kernel__2d.html">detail::kernel_2d&lt;T, Allocator&gt;</a> result(3, 1, 1);</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> std::copy(detail::dx_sobel.begin(), detail::dx_sobel.end(), result.begin());</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> }</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="keywordflow">default</span>:</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;not supported yet&quot;</span>);</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> }</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> </div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="comment">//to not upset compiler</span></div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;unreachable statement&quot;</span>);</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span>}</div>
</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> </div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T = <span class="keywordtype">float</span>, <span class="keyword">typename</span> Allocator = std::allocator&lt;T&gt;&gt;</div>
<div class="foldopen" id="foldopen00201" data-start="{" data-end="}">
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga4cc5c53a7cbddd81c47e9d80424886fd"> 201</a></span><span class="keyword">inline</span> <span class="keyword">auto</span> <a class="code hl_function" href="group___image_processing_math.html#ga4cc5c53a7cbddd81c47e9d80424886fd">generate_dx_scharr</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> degree = 1)</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> -&gt; <a class="code hl_class" href="classboost_1_1gil_1_1detail_1_1kernel__2d.html">detail::kernel_2d&lt;T, Allocator&gt;</a></div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span>{</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="keywordflow">switch</span> (degree)</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> {</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="keywordflow">case</span> 0:</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> {</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="keywordflow">return</span> detail::get_identity_kernel&lt;T, Allocator&gt;();</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> }</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="keywordflow">case</span> 1:</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> {</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <a class="code hl_class" href="classboost_1_1gil_1_1detail_1_1kernel__2d.html">detail::kernel_2d&lt;T, Allocator&gt;</a> result(3, 1, 1);</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> std::copy(detail::dx_scharr.begin(), detail::dx_scharr.end(), result.begin());</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> }</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="keywordflow">default</span>:</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;not supported yet&quot;</span>);</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> }</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> </div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="comment">//to not upset compiler</span></div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;unreachable statement&quot;</span>);</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span>}</div>
</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> </div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T = <span class="keywordtype">float</span>, <span class="keyword">typename</span> Allocator = std::allocator&lt;T&gt;&gt;</div>
<div class="foldopen" id="foldopen00232" data-start="{" data-end="}">
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga9617799d5b34ecf368c9611c2c471017"> 232</a></span><span class="keyword">inline</span> <span class="keyword">auto</span> <a class="code hl_function" href="group___image_processing_math.html#ga9617799d5b34ecf368c9611c2c471017">generate_dy_sobel</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> degree = 1)</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> -&gt; <a class="code hl_class" href="classboost_1_1gil_1_1detail_1_1kernel__2d.html">detail::kernel_2d&lt;T, Allocator&gt;</a></div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span>{</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> <span class="keywordflow">switch</span> (degree)</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> {</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="keywordflow">case</span> 0:</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> {</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="keywordflow">return</span> detail::get_identity_kernel&lt;T, Allocator&gt;();</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> }</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <span class="keywordflow">case</span> 1:</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> {</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <a class="code hl_class" href="classboost_1_1gil_1_1detail_1_1kernel__2d.html">detail::kernel_2d&lt;T, Allocator&gt;</a> result(3, 1, 1);</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> std::copy(detail::dy_sobel.begin(), detail::dy_sobel.end(), result.begin());</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> }</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="keywordflow">default</span>:</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;not supported yet&quot;</span>);</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> }</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> </div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> <span class="comment">//to not upset compiler</span></div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;unreachable statement&quot;</span>);</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span>}</div>
</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> </div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T = <span class="keywordtype">float</span>, <span class="keyword">typename</span> Allocator = std::allocator&lt;T&gt;&gt;</div>
<div class="foldopen" id="foldopen00263" data-start="{" data-end="}">
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga3f798e12d2f00de60fb8d0be35cd99b0"> 263</a></span><span class="keyword">inline</span> <span class="keyword">auto</span> <a class="code hl_function" href="group___image_processing_math.html#ga3f798e12d2f00de60fb8d0be35cd99b0">generate_dy_scharr</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> degree = 1)</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> -&gt; <a class="code hl_class" href="classboost_1_1gil_1_1detail_1_1kernel__2d.html">detail::kernel_2d&lt;T, Allocator&gt;</a> </div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span>{</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="keywordflow">switch</span> (degree)</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> {</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="keywordflow">case</span> 0:</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> {</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="keywordflow">return</span> detail::get_identity_kernel&lt;T, Allocator&gt;();</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> }</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <span class="keywordflow">case</span> 1:</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> {</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> <a class="code hl_class" href="classboost_1_1gil_1_1detail_1_1kernel__2d.html">detail::kernel_2d&lt;T, Allocator&gt;</a> result(3, 1, 1);</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> std::copy(detail::dy_scharr.begin(), detail::dy_scharr.end(), result.begin());</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> }</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="keywordflow">default</span>:</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;not supported yet&quot;</span>);</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> }</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> </div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <span class="comment">//to not upset compiler</span></div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;unreachable statement&quot;</span>);</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span>}</div>
</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> </div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> GradientView, <span class="keyword">typename</span> OutputView&gt;</div>
<div class="foldopen" id="foldopen00296" data-start="{" data-end="}">
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga426f799ec568d39aad3d6fbc8745606a"> 296</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="group___image_processing_math.html#ga426f799ec568d39aad3d6fbc8745606a">compute_hessian_entries</a>(</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> GradientView dx,</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> GradientView dy,</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> OutputView ddxx,</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> OutputView dxdy,</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> OutputView ddyy)</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span>{</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="keyword">auto</span> sobel_x = <a class="code hl_function" href="group___image_processing_math.html#gaabc9c7cd5876b5a7ddf1ee568d3b8553">generate_dx_sobel</a>();</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> <span class="keyword">auto</span> sobel_y = <a class="code hl_function" href="group___image_processing_math.html#ga9617799d5b34ecf368c9611c2c471017">generate_dy_sobel</a>();</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> detail::convolve_2d(dx, sobel_x, ddxx);</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> detail::convolve_2d(dx, sobel_y, dxdy);</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> detail::convolve_2d(dy, sobel_y, ddyy);</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span>}</div>
</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> </div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span>}} <span class="comment">// namespace boost::gil</span></div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> </div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span><span class="preprocessor">#endif</span></div>
<div class="ttc" id="aclassboost_1_1gil_1_1detail_1_1kernel__2d_html"><div class="ttname"><a href="classboost_1_1gil_1_1detail_1_1kernel__2d.html">boost::gil::detail::kernel_2d</a></div><div class="ttdoc">variable-size kernel</div><div class="ttdef"><b>Definition</b> kernel.hpp:273</div></div>
<div class="ttc" id="agroup___image_processing_math_html_ga26eea098b8eb037c207240828fb0fdf1"><div class="ttname"><a href="group___image_processing_math.html#ga26eea098b8eb037c207240828fb0fdf1">boost::gil::generate_gaussian_kernel</a></div><div class="ttdeci">auto generate_gaussian_kernel(std::size_t side_length, double sigma) -&gt; detail::kernel_2d&lt; T, Allocator &gt;</div><div class="ttdoc">Generate Gaussian kernel.</div><div class="ttdef"><b>Definition</b> numeric.hpp:132</div></div>
<div class="ttc" id="agroup___image_processing_math_html_ga3f798e12d2f00de60fb8d0be35cd99b0"><div class="ttname"><a href="group___image_processing_math.html#ga3f798e12d2f00de60fb8d0be35cd99b0">boost::gil::generate_dy_scharr</a></div><div class="ttdeci">auto generate_dy_scharr(unsigned int degree=1) -&gt; detail::kernel_2d&lt; T, Allocator &gt;</div><div class="ttdoc">Generate Scharr operator in vertical direction.</div><div class="ttdef"><b>Definition</b> numeric.hpp:263</div></div>
<div class="ttc" id="agroup___image_processing_math_html_ga426f799ec568d39aad3d6fbc8745606a"><div class="ttname"><a href="group___image_processing_math.html#ga426f799ec568d39aad3d6fbc8745606a">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 gradients.</div><div class="ttdef"><b>Definition</b> numeric.hpp:296</div></div>
<div class="ttc" id="agroup___image_processing_math_html_ga4cc5c53a7cbddd81c47e9d80424886fd"><div class="ttname"><a href="group___image_processing_math.html#ga4cc5c53a7cbddd81c47e9d80424886fd">boost::gil::generate_dx_scharr</a></div><div class="ttdeci">auto generate_dx_scharr(unsigned int degree=1) -&gt; detail::kernel_2d&lt; T, Allocator &gt;</div><div class="ttdoc">Generate Scharr operator in horizontal direction.</div><div class="ttdef"><b>Definition</b> numeric.hpp:201</div></div>
<div class="ttc" id="agroup___image_processing_math_html_ga75f408389d62130314890c81f7894ed2"><div class="ttname"><a href="group___image_processing_math.html#ga75f408389d62130314890c81f7894ed2">boost::gil::generate_unnormalized_mean</a></div><div class="ttdeci">auto generate_unnormalized_mean(std::size_t side_length) -&gt; detail::kernel_2d&lt; T, Allocator &gt;</div><div class="ttdoc">Generate kernel with all 1s.</div><div class="ttdef"><b>Definition</b> numeric.hpp:112</div></div>
<div class="ttc" id="agroup___image_processing_math_html_ga9617799d5b34ecf368c9611c2c471017"><div class="ttname"><a href="group___image_processing_math.html#ga9617799d5b34ecf368c9611c2c471017">boost::gil::generate_dy_sobel</a></div><div class="ttdeci">auto generate_dy_sobel(unsigned int degree=1) -&gt; detail::kernel_2d&lt; T, Allocator &gt;</div><div class="ttdoc">Generates Sobel operator in vertical direction.</div><div class="ttdef"><b>Definition</b> numeric.hpp:232</div></div>
<div class="ttc" id="agroup___image_processing_math_html_gaabc9c7cd5876b5a7ddf1ee568d3b8553"><div class="ttname"><a href="group___image_processing_math.html#gaabc9c7cd5876b5a7ddf1ee568d3b8553">boost::gil::generate_dx_sobel</a></div><div class="ttdeci">auto generate_dx_sobel(unsigned int degree=1) -&gt; detail::kernel_2d&lt; T, Allocator &gt;</div><div class="ttdoc">Generates Sobel operator in horizontal direction.</div><div class="ttdef"><b>Definition</b> numeric.hpp:170</div></div>
<div class="ttc" id="agroup___image_processing_math_html_gae9f1ef23591e1b4a5d974090b3aef0c7"><div class="ttname"><a href="group___image_processing_math.html#gae9f1ef23591e1b4a5d974090b3aef0c7">boost::gil::lanczos</a></div><div class="ttdeci">double lanczos(double x, std::ptrdiff_t a)</div><div class="ttdoc">Lanczos response at point x.</div><div class="ttdef"><b>Definition</b> numeric.hpp:46</div></div>
<div class="ttc" id="agroup___image_processing_math_html_gaec666d97dfea82bd6fa608bca92a6fd1"><div class="ttname"><a href="group___image_processing_math.html#gaec666d97dfea82bd6fa608bca92a6fd1">boost::gil::generate_normalized_mean</a></div><div class="ttdeci">auto generate_normalized_mean(std::size_t side_length) -&gt; detail::kernel_2d&lt; T, Allocator &gt;</div><div class="ttdoc">Generate mean kernel.</div><div class="ttdef"><b>Definition</b> numeric.hpp:92</div></div>
<div class="ttc" id="anamespaceboost_html"><div class="ttname"><a href="namespaceboost.html">boost</a></div><div class="ttdoc">defined(BOOST_NO_CXX17_HDR_MEMORY_RESOURCE)</div><div class="ttdef"><b>Definition</b> algorithm.hpp:36</div></div>
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