boost/libs/gil/doc/html/reference/numeric_8hpp_source.html
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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::detail::pi) / (x * boost::gil::detail::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="preprocessor">#if BOOST_WORKAROUND(BOOST_MSVC, &gt;= 1400)</span></div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;<span class="preprocessor">#pragma warning(push)</span></div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;<span class="preprocessor">#pragma warning(disable:4244) // &#39;argument&#39;: conversion from &#39;const Channel&#39; to &#39;BaseChannelValue&#39;, possible loss of data</span></div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;<span class="keyword">inline</span> <span class="keywordtype">void</span> compute_tensor_entries(</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; boost::gil::gray16s_view_t dx,</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; boost::gil::gray16s_view_t dy,</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; boost::gil::gray32f_view_t m11,</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; boost::gil::gray32f_view_t m12_21,</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; boost::gil::gray32f_view_t m22)</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160;{</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="keywordflow">for</span> (std::ptrdiff_t y = 0; y &lt; dx.height(); ++y) {</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="keywordflow">for</span> (std::ptrdiff_t x = 0; x &lt; dx.width(); ++x) {</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <span class="keyword">auto</span> dx_value = dx(x, y);</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="keyword">auto</span> dy_value = dy(x, y);</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; m11(x, y) = dx_value * dx_value;</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; m12_21(x, y) = dx_value * dy_value;</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; m22(x, y) = dy_value * dy_value;</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; }</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; }</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;}</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160;<span class="preprocessor">#if BOOST_WORKAROUND(BOOST_MSVC, &gt;= 1400)</span></div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;<span class="preprocessor">#pragma warning(pop)</span></div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</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="l00091"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga29d420198670c0445e58a0e428ef9230"> 91</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="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">if</span> (side_length % 2 != 1)</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</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="l00095"></a><span class="lineno"> 95</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="l00096"></a><span class="lineno"> 96</span>&#160;</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; detail::kernel_2d&lt;T, Allocator&gt; result(side_length, side_length / 2, side_length / 2);</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span>&amp; cell: result) {</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; cell = entry;</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; }</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160;</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;}</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</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="l00110"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga182587a9a3438ba3eab25a476bbad777"> 110</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="l00111"></a><span class="lineno"> 111</span>&#160;{</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <span class="keywordflow">if</span> (side_length % 2 != 1)</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</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="l00114"></a><span class="lineno"> 114</span>&#160;</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; detail::kernel_2d&lt;T, Allocator&gt; result(side_length, side_length / 2, side_length / 2);</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span>&amp; cell: result) {</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; cell = 1.0f;</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; }</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160;</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; <span class="keywordflow">return</span> result;</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;</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</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="l00129"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gac1aaebf1673d8b0f087ed851b5b7a47d"> 129</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="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">if</span> (side_length % 2 != 1)</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</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="l00133"></a><span class="lineno"> 133</span>&#160;</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160;</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> denominator = 2 * boost::gil::detail::pi * sigma * sigma;</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; <span class="keyword">auto</span> middle = side_length / 2;</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; std::vector&lt;T, Allocator&gt; values(side_length * side_length);</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <span class="keywordflow">for</span> (std::size_t y = 0; y &lt; side_length; ++y)</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; <span class="keywordflow">for</span> (std::size_t x = 0; x &lt; side_length; ++x)</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="keyword">const</span> <span class="keyword">auto</span> delta_x = middle &gt; x ? middle - x : x - middle;</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</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="l00144"></a><span class="lineno"> 144</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="l00145"></a><span class="lineno"> 145</span>&#160; <span class="keyword">const</span> <span class="keywordtype">double</span> nominator = std::exp(-power);</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</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="l00147"></a><span class="lineno"> 147</span>&#160; values[y * side_length + x] = value;</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; }</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; }</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160;</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</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="l00152"></a><span class="lineno"> 152</span>&#160;}</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160;</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</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="l00162"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gaadc550b82ba9119bad0bbf4d358e0b73"> 162</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="l00163"></a><span class="lineno"> 163</span>&#160;{</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; <span class="keywordflow">switch</span> (degree)</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; {</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; <span class="keywordflow">case</span> 0:</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; {</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; <span class="keywordflow">return</span> detail::get_identity_kernel&lt;T, Allocator&gt;();</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; <span class="keywordflow">case</span> 1:</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; {</div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; detail::kernel_2d&lt;T, Allocator&gt; result(3, 1, 1);</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; <a class="code" href="group___s_t_l_optimizations.html#ga8e23fe06d31c7cce605e4bf8255e1ee9">std::copy</a>(detail::dx_sobel.begin(), detail::dx_sobel.end(), result.begin());</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; }</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; <span class="keywordflow">default</span>:</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</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="l00178"></a><span class="lineno"> 178</span>&#160; }</div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160;</div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <span class="comment">//to not upset compiler</span></div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;unreachable statement&quot;</span>);</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160;}</div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;</div><div class="line"><a name="l00191"></a><span class="lineno"> 191</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="l00192"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gae9b2680356c21a952cb0daf2a2c779f0"> 192</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="l00193"></a><span class="lineno"> 193</span>&#160;{</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; <span class="keywordflow">switch</span> (degree)</div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; {</div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; <span class="keywordflow">case</span> 0:</div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; {</div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; <span class="keywordflow">return</span> detail::get_identity_kernel&lt;T, Allocator&gt;();</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; <span class="keywordflow">case</span> 1:</div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; {</div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; detail::kernel_2d&lt;T, Allocator&gt; result(3, 1, 1);</div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; <a class="code" href="group___s_t_l_optimizations.html#ga8e23fe06d31c7cce605e4bf8255e1ee9">std::copy</a>(detail::dx_scharr.begin(), detail::dx_scharr.end(), result.begin());</div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; }</div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; <span class="keywordflow">default</span>:</div><div class="line"><a name="l00207"></a><span class="lineno"> 207</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="l00208"></a><span class="lineno"> 208</span>&#160; }</div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160;</div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; <span class="comment">//to not upset compiler</span></div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;unreachable statement&quot;</span>);</div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;}</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160;</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</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="l00222"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga726dd0714f3e65ea9bab6b9201c16c96"> 222</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="l00223"></a><span class="lineno"> 223</span>&#160;{</div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; <span class="keywordflow">switch</span> (degree)</div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; {</div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; <span class="keywordflow">case</span> 0:</div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; {</div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; <span class="keywordflow">return</span> detail::get_identity_kernel&lt;T, Allocator&gt;();</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; <span class="keywordflow">case</span> 1:</div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; {</div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; detail::kernel_2d&lt;T, Allocator&gt; result(3, 1, 1);</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; <a class="code" href="group___s_t_l_optimizations.html#ga8e23fe06d31c7cce605e4bf8255e1ee9">std::copy</a>(detail::dy_sobel.begin(), detail::dy_sobel.end(), result.begin());</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; }</div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; <span class="keywordflow">default</span>:</div><div class="line"><a name="l00237"></a><span class="lineno"> 237</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="l00238"></a><span class="lineno"> 238</span>&#160; }</div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160;</div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; <span class="comment">//to not upset compiler</span></div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160; <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;unreachable statement&quot;</span>);</div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160;}</div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160;</div><div class="line"><a name="l00251"></a><span class="lineno"> 251</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="l00252"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gad626d5b1cbd1e81ffbf638c2ec1e030c"> 252</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="l00253"></a><span class="lineno"> 253</span>&#160;{</div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; <span class="keywordflow">switch</span> (degree)</div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; {</div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; <span class="keywordflow">case</span> 0:</div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160; {</div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; <span class="keywordflow">return</span> detail::get_identity_kernel&lt;T, Allocator&gt;();</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; <span class="keywordflow">case</span> 1:</div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160; {</div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; detail::kernel_2d&lt;T, Allocator&gt; result(3, 1, 1);</div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; <a class="code" href="group___s_t_l_optimizations.html#ga8e23fe06d31c7cce605e4bf8255e1ee9">std::copy</a>(detail::dy_scharr.begin(), detail::dy_scharr.end(), result.begin());</div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; }</div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; <span class="keywordflow">default</span>:</div><div class="line"><a name="l00267"></a><span class="lineno"> 267</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="l00268"></a><span class="lineno"> 268</span>&#160; }</div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160;</div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; <span class="comment">//to not upset compiler</span></div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;unreachable statement&quot;</span>);</div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160;}</div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160;</div><div class="line"><a name="l00283"></a><span class="lineno"> 283</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="l00284"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga5b662d207dd54aba778c0f8c3697c025"> 284</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="l00285"></a><span class="lineno"> 285</span>&#160; GradientView dx,</div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; GradientView dy,</div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; OutputView ddxx,</div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160; OutputView dxdy,</div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160; OutputView ddyy)</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="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="l00292"></a><span class="lineno"> 292</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="l00293"></a><span class="lineno"> 293</span>&#160; detail::convolve_2d(dx, sobel_x, ddxx);</div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160; detail::convolve_2d(dx, sobel_y, dxdy);</div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; detail::convolve_2d(dy, sobel_y, ddyy);</div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160;}</div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160;</div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160;}} <span class="comment">// namespace boost::gil</span></div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160;</div><div class="line"><a name="l00300"></a><span class="lineno"> 300</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:222</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:284</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 &lt; x &amp;&amp; x &lt; 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&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>
<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:192</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&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:162</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&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:110</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&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:252</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&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:129</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&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:91</div></div>
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