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<h1>mpCovarianceEllipse Class Reference</h1><!-- doxytag: class="mpCovarianceEllipse" --><!-- doxytag: inherits="mpMovableObject" -->
<p>A 2D ellipse, described by a 2x2 covariance matrix.
<a href="#_details">More...</a></p>
<p><code>#include <<a class="el" href="mathplot_8h_source.html">mrpt/otherlibs/mathplot/mathplot.h</a>></code></p>
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Inheritance diagram for mpCovarianceEllipse:</div>
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<div class="center"><img src="classmp_covariance_ellipse__inherit__graph.png" border="0" usemap="#mp_covariance_ellipse_inherit__map" alt="Inheritance graph"/></div>
<map name="mp_covariance_ellipse_inherit__map" id="mp_covariance_ellipse_inherit__map">
<area shape="rect" id="node2" href="classmp_movable_object.html" title="This virtual class represents objects that can be moved to an arbitrary 2D location+rotation..." alt="" coords="15,83,140,112"/><area shape="rect" id="node4" href="classmp_layer.html" title="Plot layer, abstract base class." alt="" coords="41,5,113,35"/></map>
<center><span class="legend">[<a href="graph_legend.html">legend</a>]</span></center></div>
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Collaboration diagram for mpCovarianceEllipse:</div>
<div class="dynsection">
<div class="center"><img src="classmp_covariance_ellipse__coll__graph.png" border="0" usemap="#mp_covariance_ellipse_coll__map" alt="Collaboration graph"/></div>
<map name="mp_covariance_ellipse_coll__map" id="mp_covariance_ellipse_coll__map">
<area shape="rect" id="node2" href="classmp_movable_object.html" title="This virtual class represents objects that can be moved to an arbitrary 2D location+rotation..." alt="" coords="45,152,171,181"/><area shape="rect" id="node4" href="classmp_layer.html" title="Plot layer, abstract base class." alt="" coords="5,5,77,35"/></map>
<center><span class="legend">[<a href="graph_legend.html">legend</a>]</span></center></div>
<p><a href="classmp_covariance_ellipse-members.html">List of all members.</a></p>
<table border="0" cellpadding="0" cellspacing="0">
<tr><td colspan="2"><h2>Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmp_covariance_ellipse.html#ae4291cf1377ae20dd4614a8149010512">mpCovarianceEllipse</a> (double cov_00=1, double cov_11=1, double cov_01=0, double quantiles=2, int segments=32, const wxString &layerName=wxT(""))</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Default constructor. <a href="#ae4291cf1377ae20dd4614a8149010512"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">virtual </td><td class="memItemRight" valign="bottom"><a class="el" href="classmp_covariance_ellipse.html#af4b162a12c28b2a97bd2d3d03da74eb6">~mpCovarianceEllipse</a> ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classmp_covariance_ellipse.html#a038a7238449465ea72cf2670b4f14e5c">GetQuantiles</a> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classmp_covariance_ellipse.html#a7a5c0be7889c5a710e6d33a8f54bdc8b">SetQuantiles</a> (double q)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Set how many "quantiles" to draw, that is, the confidence interval of the ellipse (see above). <a href="#a7a5c0be7889c5a710e6d33a8f54bdc8b"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classmp_covariance_ellipse.html#a014543bf2b6a9512cc976c3e229f7c34">SetSegments</a> (int segments)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="classmp_covariance_ellipse.html#a077b31031b14faee2dac33766ec472ad">GetSegments</a> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classmp_covariance_ellipse.html#a91b91251453e5fb6e50cd1c1f565caac">GetCovarianceMatrix</a> (double &cov_00, double &cov_01, double &cov_11) const </td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns the elements of the current covariance matrix:. <a href="#a91b91251453e5fb6e50cd1c1f565caac"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classmp_covariance_ellipse.html#ab365219a552d12c06a242af35c1047eb">SetCovarianceMatrix</a> (double cov_00, double cov_01, double cov_11)</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Changes the covariance matrix:. <a href="#ab365219a552d12c06a242af35c1047eb"></a><br/></td></tr>
<tr><td colspan="2"><h2>Protected Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classmp_covariance_ellipse.html#ab7b0a3acfa4358259d5b27b95d0b5a02">RecalculateShape</a> ()</td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Called to update the m_shape_xs, m_shape_ys vectors, whenever a parameter changes. <a href="#ab7b0a3acfa4358259d5b27b95d0b5a02"></a><br/></td></tr>
<tr><td colspan="2"><h2>Protected Attributes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classmp_covariance_ellipse.html#a358a218070932d49e0f45415a8339213">m_cov_00</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">The elements of the matrix (only 3 since cov(0,1)=cov(1,0) in any positive definite matrix). <a href="#a358a218070932d49e0f45415a8339213"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classmp_covariance_ellipse.html#a1629ced4ca2c63ff10fd487207d06f52">m_cov_11</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classmp_covariance_ellipse.html#aec05b32ddc8f5584a3c66e7093e73f2a">m_cov_01</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classmp_covariance_ellipse.html#a58cf80f82ec4effb0c5978945fa9da1a">m_quantiles</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="classmp_covariance_ellipse.html#abcd2d8c396d49e4e1a34af62c9b91130">m_segments</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">The number of line segments that build up the ellipse. <a href="#abcd2d8c396d49e4e1a34af62c9b91130"></a><br/></td></tr>
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<hr/><a name="_details"></a><h2>Detailed Description</h2>
<p>A 2D ellipse, described by a 2x2 covariance matrix. </p>
<p>The relation between the multivariate Gaussian confidence interval and the "quantiles" in this class is:</p>
<ul>
<li>1 : 68.27% confidence interval</li>
<li>2 : 95.45%</li>
<li>3 : 99.73%</li>
<li>4 : 99.994% For example, see <a href="http://en.wikipedia.org/wiki/Normal_distribution#Standard_deviation_and_confidence_intervals">http://en.wikipedia.org/wiki/Normal_distribution#Standard_deviation_and_confidence_intervals</a></li>
</ul>
<p>The ellipse will be always centered at the origin. Use <a class="el" href="classmp_movable_object.html#a536b39dd8de3f0b1fa0f9d191ac1abd4" title="Set the coordinate transformation (phi in radians, 0 means no rotation).">mpMovableObject::SetCoordinateBase</a> to move it. </p>
<p>Definition at line <a class="el" href="mathplot_8h_source.html#l01541">1541</a> of file <a class="el" href="mathplot_8h_source.html">mathplot.h</a>.</p>
<hr/><h2>Constructor & Destructor Documentation</h2>
<a class="anchor" id="ae4291cf1377ae20dd4614a8149010512"></a><!-- doxytag: member="mpCovarianceEllipse::mpCovarianceEllipse" ref="ae4291cf1377ae20dd4614a8149010512" args="(double cov_00=1, double cov_11=1, double cov_01=0, double quantiles=2, int segments=32, const wxString &layerName=wxT(""))" -->
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<td class="memname">mpCovarianceEllipse::mpCovarianceEllipse </td>
<td>(</td>
<td class="paramtype">double </td>
<td class="paramname"> <em>cov_00</em> = <code>1</code>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">double </td>
<td class="paramname"> <em>cov_11</em> = <code>1</code>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">double </td>
<td class="paramname"> <em>cov_01</em> = <code>0</code>, </td>
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<td class="paramtype">double </td>
<td class="paramname"> <em>quantiles</em> = <code>2</code>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"> <em>segments</em> = <code>32</code>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const wxString & </td>
<td class="paramname"> <em>layerName</em> = <code>wxT("")</code></td><td> </td>
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<p>Default constructor. </p>
<p>Initializes to a unity diagonal covariance matrix, a 95% confidence interval (2 sigmas), 32 segments, and a continuous plot (m_continuous=true). </p>
<p>Definition at line <a class="el" href="mathplot_8h_source.html#l01547">1547</a> of file <a class="el" href="mathplot_8h_source.html">mathplot.h</a>.</p>
<p>References <a class="el" href="mathplot_8h_source.html#l00141">mpLAYER_PLOT</a>.</p>
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<a class="anchor" id="af4b162a12c28b2a97bd2d3d03da74eb6"></a><!-- doxytag: member="mpCovarianceEllipse::~mpCovarianceEllipse" ref="af4b162a12c28b2a97bd2d3d03da74eb6" args="()" -->
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<td class="memname">virtual mpCovarianceEllipse::~mpCovarianceEllipse </td>
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<td class="paramname"></td>
<td> ) </td>
<td><code> [inline, virtual]</code></td>
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<p>Definition at line <a class="el" href="mathplot_8h_source.html#l01566">1566</a> of file <a class="el" href="mathplot_8h_source.html">mathplot.h</a>.</p>
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<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a91b91251453e5fb6e50cd1c1f565caac"></a><!-- doxytag: member="mpCovarianceEllipse::GetCovarianceMatrix" ref="a91b91251453e5fb6e50cd1c1f565caac" args="(double &cov_00, double &cov_01, double &cov_11) const " -->
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<td class="memname">void mpCovarianceEllipse::GetCovarianceMatrix </td>
<td>(</td>
<td class="paramtype">double & </td>
<td class="paramname"> <em>cov_00</em>, </td>
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<td class="paramtype">double & </td>
<td class="paramname"> <em>cov_01</em>, </td>
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<td class="paramtype">double & </td>
<td class="paramname"> <em>cov_11</em></td><td> </td>
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<td>)</td>
<td></td><td></td><td> const<code> [inline]</code></td>
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<p>Returns the elements of the current covariance matrix:. </p>
<p>Definition at line <a class="el" href="mathplot_8h_source.html#l01583">1583</a> of file <a class="el" href="mathplot_8h_source.html">mathplot.h</a>.</p>
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<a class="anchor" id="a038a7238449465ea72cf2670b4f14e5c"></a><!-- doxytag: member="mpCovarianceEllipse::GetQuantiles" ref="a038a7238449465ea72cf2670b4f14e5c" args="() const " -->
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<td class="memname">double mpCovarianceEllipse::GetQuantiles </td>
<td>(</td>
<td class="paramname"></td>
<td> ) </td>
<td> const<code> [inline]</code></td>
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<p>Definition at line <a class="el" href="mathplot_8h_source.html#l01568">1568</a> of file <a class="el" href="mathplot_8h_source.html">mathplot.h</a>.</p>
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<a class="anchor" id="a077b31031b14faee2dac33766ec472ad"></a><!-- doxytag: member="mpCovarianceEllipse::GetSegments" ref="a077b31031b14faee2dac33766ec472ad" args="() const " -->
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<td class="memname">int mpCovarianceEllipse::GetSegments </td>
<td>(</td>
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<td> ) </td>
<td> const<code> [inline]</code></td>
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<p>Definition at line <a class="el" href="mathplot_8h_source.html#l01579">1579</a> of file <a class="el" href="mathplot_8h_source.html">mathplot.h</a>.</p>
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<a class="anchor" id="ab7b0a3acfa4358259d5b27b95d0b5a02"></a><!-- doxytag: member="mpCovarianceEllipse::RecalculateShape" ref="ab7b0a3acfa4358259d5b27b95d0b5a02" args="()" -->
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<td class="memname">void mpCovarianceEllipse::RecalculateShape </td>
<td>(</td>
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<td><code> [protected]</code></td>
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<p>Called to update the m_shape_xs, m_shape_ys vectors, whenever a parameter changes. </p>
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<a class="anchor" id="ab365219a552d12c06a242af35c1047eb"></a><!-- doxytag: member="mpCovarianceEllipse::SetCovarianceMatrix" ref="ab365219a552d12c06a242af35c1047eb" args="(double cov_00, double cov_01, double cov_11)" -->
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<td class="memname">void mpCovarianceEllipse::SetCovarianceMatrix </td>
<td>(</td>
<td class="paramtype">double </td>
<td class="paramname"> <em>cov_00</em>, </td>
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<td class="paramtype">double </td>
<td class="paramname"> <em>cov_01</em>, </td>
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<td class="paramtype">double </td>
<td class="paramname"> <em>cov_11</em></td><td> </td>
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<td>)</td>
<td></td><td></td><td><code> [inline]</code></td>
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<p>Changes the covariance matrix:. </p>
<p>Definition at line <a class="el" href="mathplot_8h_source.html#l01592">1592</a> of file <a class="el" href="mathplot_8h_source.html">mathplot.h</a>.</p>
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<a class="anchor" id="a7a5c0be7889c5a710e6d33a8f54bdc8b"></a><!-- doxytag: member="mpCovarianceEllipse::SetQuantiles" ref="a7a5c0be7889c5a710e6d33a8f54bdc8b" args="(double q)" -->
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<td class="memname">void mpCovarianceEllipse::SetQuantiles </td>
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<p>Set how many "quantiles" to draw, that is, the confidence interval of the ellipse (see above). </p>
<p>Definition at line <a class="el" href="mathplot_8h_source.html#l01572">1572</a> of file <a class="el" href="mathplot_8h_source.html">mathplot.h</a>.</p>
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<a class="anchor" id="a014543bf2b6a9512cc976c3e229f7c34"></a><!-- doxytag: member="mpCovarianceEllipse::SetSegments" ref="a014543bf2b6a9512cc976c3e229f7c34" args="(int segments)" -->
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<td class="memname">void mpCovarianceEllipse::SetSegments </td>
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<p>Definition at line <a class="el" href="mathplot_8h_source.html#l01578">1578</a> of file <a class="el" href="mathplot_8h_source.html">mathplot.h</a>.</p>
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<hr/><h2>Member Data Documentation</h2>
<a class="anchor" id="a358a218070932d49e0f45415a8339213"></a><!-- doxytag: member="mpCovarianceEllipse::m_cov_00" ref="a358a218070932d49e0f45415a8339213" args="" -->
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<td class="memname">double <a class="el" href="classmp_covariance_ellipse.html#a358a218070932d49e0f45415a8339213">mpCovarianceEllipse::m_cov_00</a><code> [protected]</code></td>
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<p>The elements of the matrix (only 3 since cov(0,1)=cov(1,0) in any positive definite matrix). </p>
<p>Definition at line <a class="el" href="mathplot_8h_source.html#l01603">1603</a> of file <a class="el" href="mathplot_8h_source.html">mathplot.h</a>.</p>
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<p>Definition at line <a class="el" href="mathplot_8h_source.html#l01603">1603</a> of file <a class="el" href="mathplot_8h_source.html">mathplot.h</a>.</p>
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<a class="anchor" id="a1629ced4ca2c63ff10fd487207d06f52"></a><!-- doxytag: member="mpCovarianceEllipse::m_cov_11" ref="a1629ced4ca2c63ff10fd487207d06f52" args="" -->
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<p>Definition at line <a class="el" href="mathplot_8h_source.html#l01603">1603</a> of file <a class="el" href="mathplot_8h_source.html">mathplot.h</a>.</p>
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<a class="anchor" id="a58cf80f82ec4effb0c5978945fa9da1a"></a><!-- doxytag: member="mpCovarianceEllipse::m_quantiles" ref="a58cf80f82ec4effb0c5978945fa9da1a" args="" -->
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<td class="memname">double <a class="el" href="classmp_covariance_ellipse.html#a58cf80f82ec4effb0c5978945fa9da1a">mpCovarianceEllipse::m_quantiles</a><code> [protected]</code></td>
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<p>Definition at line <a class="el" href="mathplot_8h_source.html#l01604">1604</a> of file <a class="el" href="mathplot_8h_source.html">mathplot.h</a>.</p>
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<a class="anchor" id="abcd2d8c396d49e4e1a34af62c9b91130"></a><!-- doxytag: member="mpCovarianceEllipse::m_segments" ref="abcd2d8c396d49e4e1a34af62c9b91130" args="" -->
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<td class="memname">int <a class="el" href="classmp_covariance_ellipse.html#abcd2d8c396d49e4e1a34af62c9b91130">mpCovarianceEllipse::m_segments</a><code> [protected]</code></td>
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<p>The number of line segments that build up the ellipse. </p>
<p>Definition at line <a class="el" href="mathplot_8h_source.html#l01608">1608</a> of file <a class="el" href="mathplot_8h_source.html">mathplot.h</a>.</p>
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