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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// Copyright 2019 Olzhas Zhumabek &lt;anonymous.from.applecity@gmail.com&gt;</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<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>&#160;<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>&#160;<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>&#160;<span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#ifndef BOOST_GIL_IMAGE_PROCESSING_NUMERIC_HPP</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#define BOOST_GIL_IMAGE_PROCESSING_NUMERIC_HPP</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;boost/gil/extension/numeric/kernel.hpp&gt;</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;boost/gil/extension/numeric/convolve.hpp&gt;</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;boost/gil/image_view.hpp&gt;</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;boost/gil/typedefs.hpp&gt;</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/gil/detail/math.hpp&gt;</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<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>&#160;<span class="preprocessor">#include &lt;cstdlib&gt;</span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<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>&#160;</div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<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>&#160;{</div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <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>&#160;}</div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div><div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gaaa4583e6d012a8b49ad1738cec762651">   45</a></span>&#160;<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>&#160;{</div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    <span class="comment">// means == but &lt;= avoids compiler warning</span></div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    <span class="keywordflow">if</span> (0 &lt;= x &amp;&amp; x &lt;= 0)</div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordflow">return</span> 1;</div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    <span class="keywordflow">if</span> (-a &lt; x &amp;&amp; x &lt; a)</div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keywordflow">return</span> normalized_sinc(x) / normalized_sinc(x / static_cast&lt;double&gt;(a));</div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    <span class="keywordflow">return</span> 0;</div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;}</div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<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>&#160;    boost::gil::gray16s_view_t dx,</div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    boost::gil::gray16s_view_t dy,</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    boost::gil::gray32f_view_t m11,</div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    boost::gil::gray32f_view_t m12_21,</div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    boost::gil::gray32f_view_t m22)</div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;{</div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    <span class="keywordflow">for</span> (std::ptrdiff_t y = 0; y &lt; dx.height(); ++y) {</div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keywordflow">for</span> (std::ptrdiff_t x = 0; x &lt; dx.width(); ++x) {</div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;            <span class="keyword">auto</span> dx_value = dx(x, y);</div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            <span class="keyword">auto</span> dy_value = dy(x, y);</div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;            m11(x, y) = dx_value * dx_value;</div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;            m12_21(x, y) = dx_value * dy_value;</div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;            m22(x, y) = dy_value * dy_value;</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        }</div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    }</div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;}</div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<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="line"><a name="l00082"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga29d420198670c0445e58a0e428ef9230">   82</a></span>&#160;<span class="keyword">inline</span> detail::kernel_2d&lt;T, Allocator&gt; <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>&#160;{</div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    <span class="keywordflow">if</span> (side_length % 2 != 1)</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <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 name="l00086"></a><span class="lineno">   86</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">float</span> entry = 1.0f / static_cast&lt;float&gt;(side_length * side_length);</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;    detail::kernel_2d&lt;T, Allocator&gt; result(side_length, side_length / 2, side_length / 2);</div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;    <span class="keywordflow">for</span> (<span class="keyword">auto</span>&amp; cell: result) {</div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        cell = entry;</div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;    }</div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;}</div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<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="line"><a name="l00101"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga182587a9a3438ba3eab25a476bbad777">  101</a></span>&#160;<span class="keyword">inline</span> detail::kernel_2d&lt;T, Allocator&gt; <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>&#160;{</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;    <span class="keywordflow">if</span> (side_length % 2 != 1)</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <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 name="l00105"></a><span class="lineno">  105</span>&#160;</div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    detail::kernel_2d&lt;T, Allocator&gt; result(side_length, side_length / 2, side_length / 2);</div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    <span class="keywordflow">for</span> (<span class="keyword">auto</span>&amp; cell: result) {</div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        cell = 1.0f;</div><div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    }</div><div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;    <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;}</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;<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="line"><a name="l00120"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gac1aaebf1673d8b0f087ed851b5b7a47d">  120</a></span>&#160;<span class="keyword">inline</span> detail::kernel_2d&lt;T, Allocator&gt; <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>&#160;{</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    <span class="keywordflow">if</span> (side_length % 2 != 1)</div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <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 name="l00124"></a><span class="lineno">  124</span>&#160;</div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div><div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;    <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>&#160;    <span class="keyword">auto</span> middle = side_length / 2;</div><div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    std::vector&lt;T, Allocator&gt; values(side_length * side_length);</div><div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;    <span class="keywordflow">for</span> (std::size_t y = 0; y &lt; side_length; ++y)</div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;    {</div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        <span class="keywordflow">for</span> (std::size_t x = 0; x &lt; side_length; ++x)</div><div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        {</div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;            <span class="keyword">const</span> <span class="keyword">auto</span> delta_x = middle &gt; x ? middle - x : x - middle;</div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;            <span class="keyword">const</span> <span class="keyword">auto</span> delta_y = middle &gt; y ? middle - y : y - middle;</div><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;            <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>&#160;            <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>&#160;            <span class="keyword">const</span> <span class="keywordtype">float</span> value = static_cast&lt;float&gt;(nominator / denominator);</div><div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;            values[y * side_length + x] = value;</div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        }</div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    }</div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div><div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    <span class="keywordflow">return</span> detail::kernel_2d&lt;T, Allocator&gt;(values.begin(), values.size(), middle, middle);</div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;}</div><div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;</div><div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;<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="line"><a name="l00153"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gaadc550b82ba9119bad0bbf4d358e0b73">  153</a></span>&#160;<span class="keyword">inline</span> detail::kernel_2d&lt;T, Allocator&gt; <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>&#160;{</div><div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    <span class="keywordflow">switch</span> (degree)</div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    {</div><div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;        <span class="keywordflow">case</span> 0:</div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;        {</div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;            <span class="keywordflow">return</span> get_identity_kernel&lt;T, Allocator&gt;();</div><div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;        }</div><div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;        <span class="keywordflow">case</span> 1:</div><div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;        {</div><div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;            detail::kernel_2d&lt;T, Allocator&gt; result(3, 1, 1);</div><div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;            <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>&#160;            <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;        }</div><div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;        <span class="keywordflow">default</span>:</div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;            <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;not supported yet&quot;</span>);</div><div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;    }</div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;</div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;    <span class="comment">//to not upset compiler</span></div><div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;    <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;unreachable statement&quot;</span>);</div><div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;}</div><div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;</div><div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;<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="line"><a name="l00183"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gae9b2680356c21a952cb0daf2a2c779f0">  183</a></span>&#160;<span class="keyword">inline</span> detail::kernel_2d&lt;T, Allocator&gt; <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>&#160;{</div><div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;    <span class="keywordflow">switch</span> (degree)</div><div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;    {</div><div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;        <span class="keywordflow">case</span> 0:</div><div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;        {</div><div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;            <span class="keywordflow">return</span> get_identity_kernel&lt;T, Allocator&gt;();</div><div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;        }</div><div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;        <span class="keywordflow">case</span> 1:</div><div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;        {</div><div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;            detail::kernel_2d&lt;T, Allocator&gt; result(3, 1, 1);</div><div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;            <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>&#160;            <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;        }</div><div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;        <span class="keywordflow">default</span>:</div><div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;            <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;not supported yet&quot;</span>);</div><div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;    }</div><div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;</div><div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;    <span class="comment">//to not upset compiler</span></div><div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;    <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;unreachable statement&quot;</span>);</div><div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;}</div><div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;</div><div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;<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="line"><a name="l00213"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga726dd0714f3e65ea9bab6b9201c16c96">  213</a></span>&#160;<span class="keyword">inline</span> detail::kernel_2d&lt;T, Allocator&gt; <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>&#160;{</div><div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;    <span class="keywordflow">switch</span> (degree)</div><div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;    {</div><div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;        <span class="keywordflow">case</span> 0:</div><div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;        {</div><div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;            <span class="keywordflow">return</span> get_identity_kernel&lt;T, Allocator&gt;();</div><div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;        }</div><div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;        <span class="keywordflow">case</span> 1:</div><div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;        {</div><div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;            detail::kernel_2d&lt;T, Allocator&gt; result(3, 1, 1);</div><div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;            <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>&#160;            <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;        }</div><div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;        <span class="keywordflow">default</span>:</div><div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;            <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;not supported yet&quot;</span>);</div><div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;    }</div><div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;</div><div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;    <span class="comment">//to not upset compiler</span></div><div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;    <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;unreachable statement&quot;</span>);</div><div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;}</div><div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;</div><div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;<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="line"><a name="l00243"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gad626d5b1cbd1e81ffbf638c2ec1e030c">  243</a></span>&#160;<span class="keyword">inline</span> detail::kernel_2d&lt;T, Allocator&gt; <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>&#160;{</div><div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;    <span class="keywordflow">switch</span> (degree)</div><div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;    {</div><div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;        <span class="keywordflow">case</span> 0:</div><div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;        {</div><div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;            <span class="keywordflow">return</span> get_identity_kernel&lt;T, Allocator&gt;();</div><div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;        }</div><div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;        <span class="keywordflow">case</span> 1:</div><div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;        {</div><div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;            detail::kernel_2d&lt;T, Allocator&gt; result(3, 1, 1);</div><div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;            <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>&#160;            <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;        }</div><div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;        <span class="keywordflow">default</span>:</div><div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;            <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;not supported yet&quot;</span>);</div><div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;    }</div><div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;</div><div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;    <span class="comment">//to not upset compiler</span></div><div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;    <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;unreachable statement&quot;</span>);</div><div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;}</div><div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;</div><div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> GradientView, <span class="keyword">typename</span> OutputView&gt;</div><div class="line"><a name="l00275"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga5b662d207dd54aba778c0f8c3697c025">  275</a></span>&#160;<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>&#160;    GradientView dx,</div><div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;    GradientView dy,</div><div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;    OutputView ddxx,</div><div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;    OutputView dxdy,</div><div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;    OutputView ddyy)</div><div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;{</div><div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;    <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>&#160;    <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>&#160;    detail::convolve_2d(dx, sobel_x, ddxx);</div><div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;    detail::convolve_2d(dx, sobel_y, dxdy);</div><div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;    detail::convolve_2d(dy, sobel_y, ddyy);</div><div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;}</div><div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;</div><div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;}} <span class="comment">// namespace boost::gil</span></div><div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;</div><div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;<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&lt; T, Allocator &gt; 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>
  51 <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>
  52 <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 &lt; x &amp;&amp; x &lt; a: 0 otherwise: no...</div><div class="ttdef"><b>Definition:</b> numeric.hpp:45</div></div>
  53 <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&lt; T, CS &gt; *first, boost::gil::pixel&lt; T, CS &gt; *last, boost::gil::pixel&lt; T, CS &gt; *dst) -&gt; boost::gil::pixel&lt; T, CS &gt; *</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>
  54 <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&lt; T, Allocator &gt; 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>
  55 <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&lt; T, Allocator &gt; 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>
  56 <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&lt; T, Allocator &gt; 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>
  57 <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&lt; T, Allocator &gt; 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>
  58 <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&lt; T, Allocator &gt; 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>
  59 <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&lt; T, Allocator &gt; 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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