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<div class="title">Libcv Search Methods </div> </div>
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<div class="textblock"><p>This page describes the methods libcv uses to search for a sub image in a root image. </p>
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<h2><a class="anchor" id="tolerance"></a>
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Tolerance Values</h2>
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<p>Tolerance values are used to control how strict each of the following search methods are. Acceptable values are from <code>INT_MIN</code> to <code>INT_MAX</code>.</p>
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<p>Additionally, each of the reference programs - <code>cva-input</code> and <code>cva-match</code> - have a "sane tolerance" built in. This is accessed by the "-o" switch, and allows you to specify a tolerance on scale of 1-100, where 1 is incredibly strict, and 100 is incredibly loose. </p>
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<dl class="note"><dt><b>Note:</b></dt><dd>The formula for calculating the sane tolerance is: \( T(x) = (10^{\frac{\log{INT\_MAX}}{\lambda}})^x \) where \( \lambda \) is the highest tolerance value (in our case, 100). Finally, we have to round down a little bit to ensure that we don't accidentally generate a value higher than <code>INT_MAX</code>. The formula used does mean that we will never be able to generate values lower than 0. </dd></dl>
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<dl class="warning"><dt><b>Warning:</b></dt><dd>The "sane-tolerance" option doesn't know which search method you are using - Thus while 1 is an incredibly strict search for <a class="el" href="libcvautomation_search_methods.html#SQDIFF">Squared Difference</a> and <a class="el" href="libcvautomation_search_methods.html#SQDIFF_NORMED">Squared Difference (Normalized)</a>, it is fairly loose search for <a class="el" href="libcvautomation_search_methods.html#CCORR">Cross Correlation</a>, <a class="el" href="libcvautomation_search_methods.html#CCORR_NORMED">Cross Correlation (Normalized)</a>, <a class="el" href="libcvautomation_search_methods.html#CCOEFF">Correlation Coefficient</a>, and <a class="el" href="libcvautomation_search_methods.html#CCOEFF_NORMED">Correlation Coefficient (Normalized)</a></dd></dl>
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<h2><a class="anchor" id="SQDIFF"></a>
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Squared Difference</h2>
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<div class="fragment"><pre class="fragment"><span class="preprocessor"> #define CV_TM_SQDIFF 0 </span>
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</pre></div><p> Squared Difference is the default search method used by <code>libcvautomation</code>, as well as <code>cva-match</code> and <code>cva-input</code>. </p>
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<dl class="user"><dt><b>For this method, setting a low tolerance value results in a more strict match.</b></dt><dd></dd></dl>
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<p>Formula: \(R(x,y) = \sum_{x',y'} (T(x',y') - I(x + x', y+y'))^2 \)</p>
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<h2><a class="anchor" id="SQDIFF_NORMED"></a>
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Squared Difference (Normalized)</h2>
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<div class="fragment"><pre class="fragment"><span class="preprocessor"> #define CV_TM_SQDIFF_NORMED 1 </span>
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</pre></div><p> This is a normalized version of the <a class="el" href="libcvautomation_search_methods.html#SQDIFF">Squared Difference</a> search method. </p>
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<dl class="user"><dt><b>For this method, setting a low tolerance value results in a more strict match.</b></dt><dd></dd></dl>
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<p>Formula: \( R(x,y) = \frac{\sum_{x',y'}(T(x',y') - I(x + x', y + y'))^2}{ \sqrt{\sum_{x',y'}T(x',y')^2 \cdot \sum_{x',y'}I(x + x', y + y')^2}} \)</p>
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<h2><a class="anchor" id="CCORR"></a>
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Cross Correlation</h2>
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<div class="fragment"><pre class="fragment"><span class="preprocessor"> #define CV_TM_CCORR 2 </span>
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</pre></div><p> This is the Cross Correlation search method. </p>
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<dl class="user"><dt><b>For this method, setting a high tolerance value results in a more strict match.</b></dt><dd></dd></dl>
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<p>Formula: \( R(x,y)= \sum _{x',y'} (T(x',y') \cdot I(x+x',y+y')) \)</p>
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<h2><a class="anchor" id="CCORR_NORMED"></a>
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Cross Correlation (Normalized)</h2>
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<div class="fragment"><pre class="fragment"><span class="preprocessor"> #define CV_TM_CCORR_NORMED 3 </span>
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</pre></div><p> This is the normalized version of the <a class="el" href="libcvautomation_search_methods.html#CCORR">Cross Correlation</a> search method. </p>
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<dl class="user"><dt><b>For this method, setting a high tolerance value results in a more strict match.</b></dt><dd></dd></dl>
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<p>Formula: \( R(x,y)= \frac{\sum_{x',y'} (T(x',y') \cdot I'(x+x',y+y'))}{\sqrt{\sum_{x',y'}T(x',y')^2 \cdot \sum_{x',y'} I(x+x',y+y')^2}} \)</p>
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<h2><a class="anchor" id="CCOEFF"></a>
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Correlation Coefficient</h2>
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<div class="fragment"><pre class="fragment"><span class="preprocessor"> #define CV_TM_CCOEFF 4 </span>
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</pre></div><p> This is the Correlation Coefficient search method. </p>
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<dl class="user"><dt><b>For this method, setting a high tolerance value results in a more strict match.</b></dt><dd></dd></dl>
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<p>Formula: \( R(x,y)= \sum _{x',y'} (T'(x',y') \cdot I(x+x',y+y')) \) where: \( \begin{array}{l} T'(x',y')=T(x',y') - 1/(w \cdot h) \cdot \sum _{x'',y''} T(x'',y'') \\ I'(x+x',y+y')=I(x+x',y+y') - 1/(w \cdot h) \cdot \sum _{x'',y''} I(x+x'',y+y'') \end{array} \)</p>
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<h2><a class="anchor" id="CCOEFF_NORMED"></a>
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Correlation Coefficient (Normalized)</h2>
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<div class="fragment"><pre class="fragment"><span class="preprocessor"> #define CV_TM_CCOEFF_NORMED 5 </span>
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</pre></div><p> This is the normalized version of the <a class="el" href="libcvautomation_search_methods.html#CCOEFF">Correlation Coefficient</a> search method. </p>
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<dl class="user"><dt><b>For this method, setting a high tolerance value results in a more strict match.</b></dt><dd></dd></dl>
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<p>Formula: \( R(x,y)= \frac{ \sum_{x',y'} (T'(x',y') \cdot I'(x+x',y+y')) }{ \sqrt{\sum_{x',y'}T'(x',y')^2 \cdot \sum_{x',y'} I'(x+x',y+y')^2} } \) </p>
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