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<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="dir_1878a3f4746a95c6aad317458cc7ef80.html">boost</a></li><li class="navelem"><a class="el" href="dir_df4750f408086f9b9c1b5ee4251365ff.html">gil</a></li><li class="navelem"><a class="el" href="dir_29d7d1879aced8e7726ea9a11f3c7333.html">image_processing</a></li> </ul>
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<div class="title">numeric.hpp</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">//</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Copyright 2019 Olzhas Zhumabek <anonymous.from.applecity@gmail.com></span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">//</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// Use, modification and distribution are subject to the Boost Software License,</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// http://www.boost.org/LICENSE_1_0.txt)</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="preprocessor">#ifndef BOOST_GIL_IMAGE_PROCESSING_NUMERIC_HPP</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="preprocessor">#define BOOST_GIL_IMAGE_PROCESSING_NUMERIC_HPP</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> </div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#include <boost/gil/detail/math.hpp></span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#include <cmath></span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#include <boost/gil/image_view.hpp></span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include <boost/gil/typedefs.hpp></span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> </div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="keyword">namespace </span><a class="code" href="namespaceboost.html">boost</a> { <span class="keyword">namespace </span>gil {</div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> </div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> normalized_sinc(<span class="keywordtype">double</span> x)</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> {</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keywordflow">return</span> std::sin(x * boost::gil::pi) / (x * boost::gil::pi);</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> }</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div><div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gaaa4583e6d012a8b49ad1738cec762651"> 41</a></span> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="group___image_processing_math.html#gaaa4583e6d012a8b49ad1738cec762651">lanczos</a>(<span class="keywordtype">double</span> x, std::ptrdiff_t a)</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> {</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="comment">// means == but <= avoids compiler warning</span></div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">if</span> (0 <= x && x <= 0)</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">return</span> 1;</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span> </div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keywordflow">if</span> (-a < x && x < a)</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keywordflow">return</span> normalized_sinc(x) / normalized_sinc(x / static_cast<double>(a));</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span> </div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keywordflow">return</span> 0;</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> }</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span> </div><div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#ga598481b60bf8ad39a0dce57d65d1820a"> 59</a></span> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="group___image_processing_math.html#ga598481b60bf8ad39a0dce57d65d1820a">generate_normalized_mean</a>(boost::gil::gray32f_view_t dst)</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span> {</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">if</span> (dst.width() != dst.height() || dst.width() % 2 != 1)</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"kernel dimensions should be odd and equal"</span>);</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> entry = 1.0f / <span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(dst.size());</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span> </div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">for</span> (<span class="keyword">auto</span>& <a class="code" href="structboost_1_1gil_1_1pixel.html">pixel</a>: dst) {</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="structboost_1_1gil_1_1pixel.html">pixel</a>.at(std::integral_constant<int, 0>{}) = entry;</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  }</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span> }</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span> </div><div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gaf09a84c1960713b6a8df3e1d78b1b733"> 74</a></span> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="group___image_processing_math.html#gaf09a84c1960713b6a8df3e1d78b1b733">generate_unnormalized_mean</a>(boost::gil::gray32f_view_t dst)</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span> {</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">if</span> (dst.width() != dst.height() || dst.width() % 2 != 1)</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"kernel dimensions should be odd and equal"</span>);</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span> </div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keywordflow">for</span> (<span class="keyword">auto</span>& <a class="code" href="structboost_1_1gil_1_1pixel.html">pixel</a>: dst) {</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="structboost_1_1gil_1_1pixel.html">pixel</a>.at(std::integral_constant<int, 0>{}) = 1.0f;</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  }</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span> }</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span> </div><div class="line"><a name="l00089"></a><span class="lineno"><a class="line" href="group___image_processing_math.html#gae1bd55f00abfa4bad83560e35992f7f4"> 89</a></span> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="group___image_processing_math.html#gae1bd55f00abfa4bad83560e35992f7f4">generate_gaussian_kernel</a>(boost::gil::gray32f_view_t dst, <span class="keywordtype">double</span> sigma)</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span> {</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">if</span> (dst.width() != dst.height() || dst.width() % 2 != 1)</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"kernel dimensions should be odd and equal"</span>);</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span> </div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> denominator = 2 * boost::gil::pi * sigma * sigma;</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keyword">const</span> <span class="keyword">auto</span> middle = <a class="code" href="classboost_1_1gil_1_1point.html">boost::gil::point_t</a>(dst.width() / 2, dst.height() / 2);</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">for</span> (boost::gil::gray32f_view_t::coord_t y = 0; y < dst.height(); ++y)</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  {</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">for</span> (boost::gil::gray32f_view_t::coord_t x = 0; x < dst.width(); ++x)</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  {</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keyword">const</span> <span class="keyword">auto</span> delta_x = std::abs(middle.x - x);</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keyword">const</span> <span class="keyword">auto</span> delta_y = std::abs(middle.y - y);</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> power = (delta_x * delta_x + delta_y * delta_y) / (2 * sigma * sigma);</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> nominator = std::exp(-power);</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keyword">const</span> <span class="keywordtype">float</span> value = nominator / denominator;</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  dst(x, y).at(std::integral_constant<int, 0>{}) = value;</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  }</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  }</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span> }</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span> }} <span class="comment">// namespace boost::gil</span></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span> </div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="preprocessor">#endif</span></div><div class="ttc" id="namespaceboost_html"><div class="ttname"><a href="namespaceboost.html">boost</a></div><div class="ttdef"><b>Definition:</b> algorithm.hpp:30</div></div>
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<div class="ttc" id="structboost_1_1gil_1_1pixel_html"><div class="ttname"><a href="structboost_1_1gil_1_1pixel.html">boost::gil::pixel</a></div><div class="ttdoc">Represents a pixel value (a container of channels). Models: HomogeneousColorBaseValueConcept, PixelValueConcept, HomogeneousPixelBasedConcept. </div><div class="ttdef"><b>Definition:</b> metafunctions.hpp:23</div></div>
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<div class="ttc" id="group___image_processing_math_html_gaaa4583e6d012a8b49ad1738cec762651"><div class="ttname"><a href="group___image_processing_math.html#gaaa4583e6d012a8b49ad1738cec762651">boost::gil::lanczos</a></div><div class="ttdeci">double lanczos(double x, std::ptrdiff_t a)</div><div class="ttdoc">Lanczos response at point xLanczos response is defined as: x == 0: 1 -a < x && x < a: 0 otherwise: no...</div><div class="ttdef"><b>Definition:</b> numeric.hpp:41</div></div>
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<div class="ttc" id="group___image_processing_math_html_ga598481b60bf8ad39a0dce57d65d1820a"><div class="ttname"><a href="group___image_processing_math.html#ga598481b60bf8ad39a0dce57d65d1820a">boost::gil::generate_normalized_mean</a></div><div class="ttdeci">void generate_normalized_mean(boost::gil::gray32f_view_t dst)</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:59</div></div>
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<div class="ttc" id="group___image_processing_math_html_gaf09a84c1960713b6a8df3e1d78b1b733"><div class="ttname"><a href="group___image_processing_math.html#gaf09a84c1960713b6a8df3e1d78b1b733">boost::gil::generate_unnormalized_mean</a></div><div class="ttdeci">void generate_unnormalized_mean(boost::gil::gray32f_view_t dst)</div><div class="ttdoc">Generate kernel with all 1sFills supplied view with 1s (ones) </div><div class="ttdef"><b>Definition:</b> numeric.hpp:74</div></div>
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<div class="ttc" id="classboost_1_1gil_1_1point_html"><div class="ttname"><a href="classboost_1_1gil_1_1point.html">boost::gil::point< std::ptrdiff_t ></a></div></div>
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<div class="ttc" id="group___image_processing_math_html_gae1bd55f00abfa4bad83560e35992f7f4"><div class="ttname"><a href="group___image_processing_math.html#gae1bd55f00abfa4bad83560e35992f7f4">boost::gil::generate_gaussian_kernel</a></div><div class="ttdeci">void generate_gaussian_kernel(boost::gil::gray32f_view_t dst, double sigma)</div><div class="ttdoc">Generate Gaussian kernelFills supplied view with values taken from Gaussian distribution. See https://en.wikipedia.org/wiki/Gaussian_blur. </div><div class="ttdef"><b>Definition:</b> numeric.hpp:89</div></div>
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