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<html><head> <meta HTTP-EQUIV="Content-Type" CONTENT="text/html;charset=ISO-8859-1"> <title>Contents.m</title><link rel="stylesheet" type="text/css" href="../stpr.css"></head><body><table border=0 width="100%" cellpadding=0 cellspacing=0><tr valign="baseline"><td valign="baseline" class="function"><b class="function">QMAP</b><td valign="baseline" align="right" class="function"><a href="../quadrat/index.html" target="mdsdir"><img border = 0 src="../up.gif"></a></table> <p><b>Quadratic data mapping.
</b></p> <hr><div class='code'><code><span class=help>
</span><br><span class=help> <span class=help_field>Synopsis:</span></span><br><span class=help> Y = qmap(X)
</span><br><span class=help> out_data = qmap(in_data)
</span><br><span class=help>
</span><br><span class=help> <span class=help_field>Description:</span></span><br><span class=help> Y = qmap(X) mapps input n-dimensional data X into a new
</span><br><span class=help> (n*(n+3)/2)-dimensional space using the quadratic mapping. An
</span><br><span class=help> input vector x=X(:,i) is mapped to its image y=Y(:,i) such that
</span><br><span class=help>
</span><br><span class=help> y = [x(1) ;x(2) ;...;x(n);
</span><br><span class=help> x(1)*x(1);x(1)*x(2);...;x(1)*x(n);
</span><br><span class=help> x(2)*x(2);...;x(2)*x(n);
</span><br><span class=help> ...
</span><br><span class=help> x(n)*x(n)]
</span><br><span class=help>
</span><br><span class=help> out_data = qmap(in_data) use to map labeled data such that
</span><br><span class=help> out_data.X = qmap(in_data.X)
</span><br><span class=help> out_data.y = in_data.y
</span><br><span class=help>
</span><br><span class=help> <span class=help_field>Example:</span></span><br><span class=help> orig_data = load('vltava');
</span><br><span class=help> map_data = qmap(orig_data);
</span><br><span class=help> lin_model = perceptron(map_data);
</span><br><span class=help> quad_model = lin2quad(lin_model);
</span><br><span class=help> figure; ppatterns(orig_data);
</span><br><span class=help> pboundary(quad_model);
</span><br><span class=help>
</span><br><span class=help> <span class=also_field>See also </span><span class=also>
</span><br><span class=help><span class=also> <a href = "../quadrat/lin2quad.html" target="mdsbody">LIN2QUAD</a>, <a href = "../quadrat/quadclass.html" target="mdsbody">QUADCLASS</a>.
</span><br><span class=help>
</span><br></code></div> <hr> <b>Source:</b> <a href= "../quadrat/list/qmap.html">qmap.m</a> <p><b class="info_field">(c) </b> Statistical Pattern Recognition Toolbox, (C) 1999-2003,
<br> Written by Vojtech Franc and Vaclav Hlavac,
<br> <a href="http://www.cvut.cz">Czech Technical University Prague</a>,
<br> <a href="http://www.feld.cvut.cz">Faculty of Electrical engineering</a>,
<br> <a href="http://cmp.felk.cvut.cz">Center for Machine Perception</a>
<br> <p><b class="info_field">Modifications: </b>
<br> 17-may-2004, VF
<br> 22-Oct-2003, VF
<br> 26-June-2001, V.Franc, comments repared.
<br> 24. 6.00 V. Hlavac, comments polished.
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