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<a href="_c_pose_p_d_f_gaussian_8h.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/* +---------------------------------------------------------------------------+</span>
<a name="l00002"></a>00002 <span class="comment">   |          The Mobile Robot Programming Toolkit (MRPT) C++ library          |</span>
<a name="l00003"></a>00003 <span class="comment">   |                                                                           |</span>
<a name="l00004"></a>00004 <span class="comment">   |                       http://www.mrpt.org/                                |</span>
<a name="l00005"></a>00005 <span class="comment">   |                                                                           |</span>
<a name="l00006"></a>00006 <span class="comment">   |   Copyright (C) 2005-2011  University of Malaga                           |</span>
<a name="l00007"></a>00007 <span class="comment">   |                                                                           |</span>
<a name="l00008"></a>00008 <span class="comment">   |    This software was written by the Machine Perception and Intelligent    |</span>
<a name="l00009"></a>00009 <span class="comment">   |      Robotics Lab, University of Malaga (Spain).                          |</span>
<a name="l00010"></a>00010 <span class="comment">   |    Contact: Jose-Luis Blanco  &lt;jlblanco@ctima.uma.es&gt;                     |</span>
<a name="l00011"></a>00011 <span class="comment">   |                                                                           |</span>
<a name="l00012"></a>00012 <span class="comment">   |  This file is part of the MRPT project.                                   |</span>
<a name="l00013"></a>00013 <span class="comment">   |                                                                           |</span>
<a name="l00014"></a>00014 <span class="comment">   |     MRPT is free software: you can redistribute it and/or modify          |</span>
<a name="l00015"></a>00015 <span class="comment">   |     it under the terms of the GNU General Public License as published by  |</span>
<a name="l00016"></a>00016 <span class="comment">   |     the Free Software Foundation, either version 3 of the License, or     |</span>
<a name="l00017"></a>00017 <span class="comment">   |     (at your option) any later version.                                   |</span>
<a name="l00018"></a>00018 <span class="comment">   |                                                                           |</span>
<a name="l00019"></a>00019 <span class="comment">   |   MRPT is distributed in the hope that it will be useful,                 |</span>
<a name="l00020"></a>00020 <span class="comment">   |     but WITHOUT ANY WARRANTY; without even the implied warranty of        |</span>
<a name="l00021"></a>00021 <span class="comment">   |     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the         |</span>
<a name="l00022"></a>00022 <span class="comment">   |     GNU General Public License for more details.                          |</span>
<a name="l00023"></a>00023 <span class="comment">   |                                                                           |</span>
<a name="l00024"></a>00024 <span class="comment">   |     You should have received a copy of the GNU General Public License     |</span>
<a name="l00025"></a>00025 <span class="comment">   |     along with MRPT.  If not, see &lt;http://www.gnu.org/licenses/&gt;.         |</span>
<a name="l00026"></a>00026 <span class="comment">   |                                                                           |</span>
<a name="l00027"></a>00027 <span class="comment">   +---------------------------------------------------------------------------+ */</span>
<a name="l00028"></a>00028 <span class="preprocessor">#ifndef CPosePDFGaussian_H</span>
<a name="l00029"></a>00029 <span class="preprocessor"></span><span class="preprocessor">#define CPosePDFGaussian_H</span>
<a name="l00030"></a>00030 <span class="preprocessor"></span>
<a name="l00031"></a>00031 <span class="preprocessor">#include &lt;<a class="code" href="_c_pose_p_d_f_8h.html">mrpt/poses/CPosePDF.h</a>&gt;</span>
<a name="l00032"></a>00032 <span class="preprocessor">#include &lt;<a class="code" href="_c_matrix_fixed_numeric_8h.html">mrpt/math/CMatrixFixedNumeric.h</a>&gt;</span>
<a name="l00033"></a>00033 
<a name="l00034"></a>00034 <span class="keyword">namespace </span>mrpt
<a name="l00035"></a>00035 {
<a name="l00036"></a>00036 <span class="keyword">namespace </span>poses
<a name="l00037"></a>00037 {
<a name="l00038"></a>00038         <span class="keyword">using namespace </span>mrpt::math;
<a name="l00039"></a>00039 
<a name="l00040"></a>00040         <span class="keyword">class </span>CPose3DPDF;
<a name="l00041"></a>00041 
<a name="l00042"></a>00042         <span class="comment">// This must be added to any CSerializable derived class:</span>
<a name="l00043"></a><a class="code" href="structmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian_ptr.html#a72928296c426ad71e122f85f0fe3702a">00043</a>         <a class="code" href="_c_serializable_8h.html#ab89b7a3de0a1baf5a5af4454add7d0f8" title="This declaration must be inserted in all CSerializable classes definition, before the class declarati...">DEFINE_SERIALIZABLE_PRE_CUSTOM_BASE</a>( <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a>, <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f.html" title="Declares a class that represents a probability density function (pdf) of a 2D pose (x...">CPosePDF</a> )
<a name="l00044"></a>00044 
<a name="l00045"></a>00045         <span class="comment">/** Declares a class that represents a Probability Density  function (PDF) of a 2D pose \f$ p(\mathbf{x}) = [x ~ y ~ \phi ]^t \f$.</span>
<a name="l00046"></a>00046 <span class="comment">         *</span>
<a name="l00047"></a>00047 <span class="comment">         *   This class implements that PDF using a mono-modal Gaussian distribution. See mrpt::poses::CPosePDF for more details.</span>
<a name="l00048"></a>00048 <span class="comment">         *</span>
<a name="l00049"></a>00049 <span class="comment">         * \sa CPose2D, CPosePDF, CPosePDFParticles</span>
<a name="l00050"></a>00050 <span class="comment">         * \ingroup poses_pdf_grp</span>
<a name="l00051"></a>00051 <span class="comment">         */</span>
<a name="l00052"></a>00052         class <a class="code" href="base_2include_2mrpt_2base_2link__pragmas_8h.html#a6045fa0129b1a3d6c8bf895470e66574">BASE_IMPEXP</a> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> : public <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f.html" title="Declares a class that represents a probability density function (pdf) of a 2D pose (x...">CPosePDF</a>
<a name="l00053"></a>00053         {
<a name="l00054"></a>00054                 <span class="comment">// This must be added to any CSerializable derived class:</span>
<a name="l00055"></a><a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html#a7f4642f1ae523eeac2c9932a741acb8a">00055</a>                 <a class="code" href="_c_serializable_8h.html#a72ab55bf7ae009c89b75715cfa21e84d" title="This declaration must be inserted in all CSerializable classes definition, within the class declarati...">DEFINE_SERIALIZABLE</a>( <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> )
<a name="l00056"></a>00056 
<a name="l00057"></a>00057         protected:<span class="comment"></span>
<a name="l00058"></a>00058 <span class="comment">                /** Assures the symmetry of the covariance matrix (eventually certain operations in the math-coprocessor lead to non-symmetric matrixes!)</span>
<a name="l00059"></a>00059 <span class="comment">                  */</span>
<a name="l00060"></a>00060                 <span class="keywordtype">void</span>  assureSymmetry();
<a name="l00061"></a>00061 
<a name="l00062"></a>00062          public:<span class="comment"></span>
<a name="l00063"></a>00063 <span class="comment">                /** @name Data fields</span>
<a name="l00064"></a>00064 <span class="comment">                        @{ */</span>
<a name="l00065"></a>00065 
<a name="l00066"></a><a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html#a29ac7ae7a62bbb12270c087d873fec1e">00066</a>                 <a class="code" href="classmrpt_1_1poses_1_1_c_pose2_d.html" title="A class used to store a 2D pose.">CPose2D</a>                         <a class="code" href="eigen__plugins_8h.html#a378ef7ee1218e4aa29b595c6e0f8ee4a" title="Computes the mean of the entire matrix.">mean</a>;   <span class="comment">//!&lt; The mean value</span>
<a name="l00067"></a><a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html#ae0e92d7dc7b32e02e087f4ff900435cc">00067</a> <span class="comment"></span>                <a class="code" href="classmrpt_1_1math_1_1_c_matrix_fixed_numeric.html">CMatrixDouble33</a>         <a class="code" href="namespacemrpt_1_1math.html#a43f4e051fc574fd75b6800ad4fb25037" title="Computes the covariance matrix from a list of samples in an NxM matrix, where each row is a sample...">cov</a>;    <span class="comment">//!&lt; The 3x3 covariance matrix</span>
<a name="l00068"></a>00068 <span class="comment"></span><span class="comment"></span>
<a name="l00069"></a>00069 <span class="comment">                /** @} */</span>
<a name="l00070"></a>00070 
<a name="l00071"></a><a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html#aad1250af293db203345cdaafea3ed7b2">00071</a>                 inline const <a class="code" href="classmrpt_1_1poses_1_1_c_pose2_d.html" title="A class used to store a 2D pose.">CPose2D</a> &amp; getPoseMean()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="eigen__plugins_8h.html#a378ef7ee1218e4aa29b595c6e0f8ee4a" title="Computes the mean of the entire matrix.">mean</a>; }
<a name="l00072"></a><a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html#ad49cab7043ee3af4b96d1de59d9c0218">00072</a>                 <span class="keyword">inline</span>       <a class="code" href="classmrpt_1_1poses_1_1_c_pose2_d.html" title="A class used to store a 2D pose.">CPose2D</a> &amp; <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html#ad49cab7043ee3af4b96d1de59d9c0218">getPoseMean</a>()       { <span class="keywordflow">return</span> <a class="code" href="eigen__plugins_8h.html#a378ef7ee1218e4aa29b595c6e0f8ee4a" title="Computes the mean of the entire matrix.">mean</a>; }
<a name="l00073"></a>00073 <span class="comment"></span>
<a name="l00074"></a>00074 <span class="comment">                /** Default constructor</span>
<a name="l00075"></a>00075 <span class="comment">                  */</span>
<a name="l00076"></a>00076                 <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a>();
<a name="l00077"></a>00077 <span class="comment"></span>
<a name="l00078"></a>00078 <span class="comment">                /** Constructor</span>
<a name="l00079"></a>00079 <span class="comment">                  */</span>
<a name="l00080"></a>00080                 <span class="keyword">explicit</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a>( <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose2_d.html" title="A class used to store a 2D pose.">CPose2D</a> &amp;init_Mean );
<a name="l00081"></a>00081 <span class="comment"></span>
<a name="l00082"></a>00082 <span class="comment">                /** Constructor</span>
<a name="l00083"></a>00083 <span class="comment">                  */</span>
<a name="l00084"></a>00084                 <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a>( <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose2_d.html" title="A class used to store a 2D pose.">CPose2D</a> &amp;init_Mean, <span class="keyword">const</span> <a class="code" href="classmrpt_1_1math_1_1_c_matrix_fixed_numeric.html">CMatrixDouble33</a> &amp;init_Cov );
<a name="l00085"></a>00085 <span class="comment"></span>
<a name="l00086"></a>00086 <span class="comment">            /** Copy constructor, including transformations between other PDFs */</span>
<a name="l00087"></a><a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html#a49f48dfe064596a9cae9e86a925239f4">00087</a>                 <span class="keyword">explicit</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html#a49f48dfe064596a9cae9e86a925239f4" title="Copy constructor, including transformations between other PDFs.">CPosePDFGaussian</a>( <span class="keyword">const</span> CPosePDF &amp;o ) { copyFrom( o ); }
<a name="l00088"></a>00088 <span class="comment"></span>
<a name="l00089"></a>00089 <span class="comment">                /** Copy constructor, including transformations between other PDFs */</span>
<a name="l00090"></a><a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html#a80d123afa290ebd0be358a397853cb97">00090</a>                 <span class="keyword">explicit</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html#a80d123afa290ebd0be358a397853cb97" title="Copy constructor, including transformations between other PDFs.">CPosePDFGaussian</a>( <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose3_d_p_d_f.html" title="Declares a class that represents a Probability Density Function (PDF) of a 3D pose (6D actually)...">CPose3DPDF</a> &amp;o ) { copyFrom( o ); }
<a name="l00091"></a>00091 <span class="comment"></span>
<a name="l00092"></a>00092 <span class="comment">                 /** Returns an estimate of the pose, (the mean, or mathematical expectation of the PDF).</span>
<a name="l00093"></a>00093 <span class="comment">                   * \sa getCovariance</span>
<a name="l00094"></a>00094 <span class="comment">                   */</span>
<a name="l00095"></a>00095                 <span class="keywordtype">void</span> getMean(<a class="code" href="classmrpt_1_1poses_1_1_c_pose2_d.html" title="A class used to store a 2D pose.">CPose2D</a> &amp;mean_pose) <span class="keyword">const</span>;
<a name="l00096"></a>00096 <span class="comment"></span>
<a name="l00097"></a>00097 <span class="comment">                /** Returns an estimate of the pose covariance matrix (3x3 cov matrix) and the mean, both at once.</span>
<a name="l00098"></a>00098 <span class="comment">                  * \sa getMean</span>
<a name="l00099"></a>00099 <span class="comment">                  */</span>
<a name="l00100"></a>00100                 <span class="keywordtype">void</span> getCovarianceAndMean(<a class="code" href="classmrpt_1_1math_1_1_c_matrix_fixed_numeric.html">CMatrixDouble33</a> &amp;<a class="code" href="namespacemrpt_1_1math.html#a43f4e051fc574fd75b6800ad4fb25037" title="Computes the covariance matrix from a list of samples in an NxM matrix, where each row is a sample...">cov</a>,<a class="code" href="classmrpt_1_1poses_1_1_c_pose2_d.html" title="A class used to store a 2D pose.">CPose2D</a> &amp;mean_point) <span class="keyword">const</span>;
<a name="l00101"></a>00101 <span class="comment"></span>
<a name="l00102"></a>00102 <span class="comment">                /** Copy operator, translating if necesary (for example, between particles and gaussian representations)</span>
<a name="l00103"></a>00103 <span class="comment">                  */</span>
<a name="l00104"></a>00104                 <span class="keywordtype">void</span>  copyFrom(<span class="keyword">const</span> CPosePDF &amp;o);
<a name="l00105"></a>00105 <span class="comment"></span>
<a name="l00106"></a>00106 <span class="comment">                /** Copy operator, translating if necesary (for example, between particles and gaussian representations)</span>
<a name="l00107"></a>00107 <span class="comment">                  */</span>
<a name="l00108"></a>00108                 <span class="keywordtype">void</span>  copyFrom(<span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose3_d_p_d_f.html" title="Declares a class that represents a Probability Density Function (PDF) of a 3D pose (6D actually)...">CPose3DPDF</a> &amp;o);
<a name="l00109"></a>00109 <span class="comment"></span>
<a name="l00110"></a>00110 <span class="comment">                /** Save PDF&#39;s particles to a text file, containing the 2D pose in the first line, then the covariance matrix in next 3 lines.</span>
<a name="l00111"></a>00111 <span class="comment">                 */</span>
<a name="l00112"></a>00112                 <span class="keywordtype">void</span>  <a class="code" href="eigen__plugins_8h.html#abea6659e38ab7a50b625ea1a4af3ec72" title="Save matrix to a text file, compatible with MATLAB text format (see also the methods of matrix classe...">saveToTextFile</a>(<span class="keyword">const</span> <a class="code" href="classstd_1_1string.html" title="STL class.">std::string</a> &amp;file) <span class="keyword">const</span>;
<a name="l00113"></a>00113 <span class="comment"></span>
<a name="l00114"></a>00114 <span class="comment">                /** This can be used to convert a PDF from local coordinates to global, providing the point (newReferenceBase) from which</span>
<a name="l00115"></a>00115 <span class="comment">                  *   &quot;to project&quot; the current pdf. Result PDF substituted the currently stored one in the object.</span>
<a name="l00116"></a>00116 <span class="comment">                  */</span>
<a name="l00117"></a>00117                 <span class="keywordtype">void</span>  changeCoordinatesReference( <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose3_d.html" title="A class used to store a 3D pose (a 3D translation + a rotation in 3D).">CPose3D</a> &amp;newReferenceBase );
<a name="l00118"></a>00118 <span class="comment"></span>
<a name="l00119"></a>00119 <span class="comment">                /** This can be used to convert a PDF from local coordinates to global, providing the point (newReferenceBase) from which</span>
<a name="l00120"></a>00120 <span class="comment">                  *   &quot;to project&quot; the current pdf. Result PDF substituted the currently stored one in the object.</span>
<a name="l00121"></a>00121 <span class="comment">                  */</span>
<a name="l00122"></a>00122                 <span class="keywordtype">void</span>  changeCoordinatesReference( <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose2_d.html" title="A class used to store a 2D pose.">CPose2D</a> &amp;newReferenceBase );
<a name="l00123"></a>00123 <span class="comment"></span>
<a name="l00124"></a>00124 <span class="comment">                /** Rotate the covariance matrix by replacing it by \f$ \mathbf{R}~\mathbf{COV}~\mathbf{R}^t \f$, where \f$ \mathbf{R} = \left[ \begin{array}{ccc} \cos\alpha &amp; -\sin\alpha &amp; 0 \\ \sin\alpha &amp; \cos\alpha &amp; 0 \\ 0 &amp; 0 &amp; 1 \end{array}\right] \f$.</span>
<a name="l00125"></a>00125 <span class="comment">                  */</span>
<a name="l00126"></a>00126                 <span class="keywordtype">void</span>  rotateCov(<span class="keyword">const</span> <span class="keywordtype">double</span> ang);
<a name="l00127"></a>00127 <span class="comment"></span>
<a name="l00128"></a>00128 <span class="comment">                /** Set \f$ this = x1 \ominus x0 \f$ , computing the mean using the &quot;-&quot; operator and the covariances through the corresponding Jacobians (For &#39;x0&#39; and &#39;x1&#39; being independent variables!).</span>
<a name="l00129"></a>00129 <span class="comment">                  */</span>
<a name="l00130"></a>00130                 <span class="keywordtype">void</span> inverseComposition( <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> &amp;x, <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> &amp;ref  );
<a name="l00131"></a>00131 <span class="comment"></span>
<a name="l00132"></a>00132 <span class="comment">                /** Set \f$ this = x1 \ominus x0 \f$ , computing the mean using the &quot;-&quot; operator and the covariances through the corresponding Jacobians (Given the 3x3 cross-covariance matrix of variables x0 and x1).</span>
<a name="l00133"></a>00133 <span class="comment">                  */</span>
<a name="l00134"></a>00134                 <span class="keywordtype">void</span> inverseComposition(
<a name="l00135"></a>00135                         <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> &amp;x1,
<a name="l00136"></a>00136                         <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> &amp;x0,
<a name="l00137"></a>00137                         <span class="keyword">const</span> <a class="code" href="classmrpt_1_1math_1_1_c_matrix_fixed_numeric.html">CMatrixDouble33</a>  &amp;COV_01
<a name="l00138"></a>00138                           );
<a name="l00139"></a>00139 <span class="comment"></span>
<a name="l00140"></a>00140 <span class="comment">                /** Draws a single sample from the distribution</span>
<a name="l00141"></a>00141 <span class="comment">                  */</span>
<a name="l00142"></a>00142                 <span class="keywordtype">void</span>  drawSingleSample( <a class="code" href="classmrpt_1_1poses_1_1_c_pose2_d.html" title="A class used to store a 2D pose.">CPose2D</a> &amp;outPart ) <span class="keyword">const</span>;
<a name="l00143"></a>00143 <span class="comment"></span>
<a name="l00144"></a>00144 <span class="comment">                /** Draws a number of samples from the distribution, and saves as a list of 1x3 vectors, where each row contains a (x,y,phi) datum.</span>
<a name="l00145"></a>00145 <span class="comment">                  */</span>
<a name="l00146"></a>00146                 <span class="keywordtype">void</span>  drawManySamples( <span class="keywordtype">size_t</span> N, <a class="code" href="classstd_1_1vector.html">std::vector&lt;vector_double&gt;</a> &amp; outSamples ) <span class="keyword">const</span>;
<a name="l00147"></a>00147 <span class="comment"></span>
<a name="l00148"></a>00148 <span class="comment">                /** Bayesian fusion of two points gauss. distributions, then save the result in this object.</span>
<a name="l00149"></a>00149 <span class="comment">                  *  The process is as follows:&lt;br&gt;</span>
<a name="l00150"></a>00150 <span class="comment">                  *             - (x1,S1): Mean and variance of the p1 distribution.</span>
<a name="l00151"></a>00151 <span class="comment">                  *             - (x2,S2): Mean and variance of the p2 distribution.</span>
<a name="l00152"></a>00152 <span class="comment">                  *             - (x,S): Mean and variance of the resulting distribution.</span>
<a name="l00153"></a>00153 <span class="comment">                  *</span>
<a name="l00154"></a>00154 <span class="comment">                  *    S = (S1&lt;sup&gt;-1&lt;/sup&gt; + S2&lt;sup&gt;-1&lt;/sup&gt;)&lt;sup&gt;-1&lt;/sup&gt;;</span>
<a name="l00155"></a>00155 <span class="comment">                  *    x = S * ( S1&lt;sup&gt;-1&lt;/sup&gt;*x1 + S2&lt;sup&gt;-1&lt;/sup&gt;*x2 );</span>
<a name="l00156"></a>00156 <span class="comment">                  */</span>
<a name="l00157"></a>00157                 <span class="keywordtype">void</span>  bayesianFusion(<span class="keyword">const</span>  CPosePDF &amp;p1,<span class="keyword">const</span>  CPosePDF &amp;p2, <span class="keyword">const</span> <span class="keywordtype">double</span> &amp;minMahalanobisDistToDrop = 0 );
<a name="l00158"></a>00158 <span class="comment"></span>
<a name="l00159"></a>00159 <span class="comment">                /** Returns a new PDF such as: NEW_PDF = (0,0,0) - THIS_PDF</span>
<a name="l00160"></a>00160 <span class="comment">                  */</span>
<a name="l00161"></a>00161                 <span class="keywordtype">void</span>     inverse(CPosePDF &amp;o) <span class="keyword">const</span>;
<a name="l00162"></a>00162 <span class="comment"></span>
<a name="l00163"></a>00163 <span class="comment">                /** Makes: thisPDF = thisPDF + Ap, where &quot;+&quot; is pose composition (both the mean, and the covariance matrix are updated).</span>
<a name="l00164"></a>00164 <span class="comment">                  */</span>
<a name="l00165"></a>00165                 <span class="keywordtype">void</span>  <a class="code" href="group__container__ops__grp.html#ga28127b8dfe78fea7644c4f2a3517cdef" title="a+=b (element-wise sum)">operator += </a>( <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose2_d.html" title="A class used to store a 2D pose.">CPose2D</a> &amp;Ap);
<a name="l00166"></a>00166 <span class="comment"></span>
<a name="l00167"></a>00167 <span class="comment">                /** Evaluates the PDF at a given point.</span>
<a name="l00168"></a>00168 <span class="comment">                  */</span>
<a name="l00169"></a>00169                 <span class="keywordtype">double</span>  evaluatePDF( <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose2_d.html" title="A class used to store a 2D pose.">CPose2D</a> &amp;x ) <span class="keyword">const</span>;
<a name="l00170"></a>00170 <span class="comment"></span>
<a name="l00171"></a>00171 <span class="comment">                /** Evaluates the ratio PDF(x) / PDF(MEAN), that is, the normalized PDF in the range [0,1].</span>
<a name="l00172"></a>00172 <span class="comment">                  */</span>
<a name="l00173"></a>00173                 <span class="keywordtype">double</span>  evaluateNormalizedPDF( <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose2_d.html" title="A class used to store a 2D pose.">CPose2D</a> &amp;x ) <span class="keyword">const</span>;
<a name="l00174"></a>00174 <span class="comment"></span>
<a name="l00175"></a>00175 <span class="comment">                /** Computes the Mahalanobis distance between the centers of two Gaussians.</span>
<a name="l00176"></a>00176 <span class="comment">                  */</span>
<a name="l00177"></a>00177                 <span class="keywordtype">double</span>  mahalanobisDistanceTo( <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a>&amp; theOther );
<a name="l00178"></a>00178 <span class="comment"></span>
<a name="l00179"></a>00179 <span class="comment">                /** Substitutes the diagonal elements if (square) they are below some given minimum values (Use this before bayesianFusion, for example, to avoid inversion of singular matrixes, etc...)</span>
<a name="l00180"></a>00180 <span class="comment">                  */</span>
<a name="l00181"></a>00181                 <span class="keywordtype">void</span>  assureMinCovariance( <span class="keyword">const</span> <span class="keywordtype">double</span> &amp; minStdXY, <span class="keyword">const</span> <span class="keywordtype">double</span> &amp;minStdPhi );
<a name="l00182"></a>00182 <span class="comment"></span>
<a name="l00183"></a>00183 <span class="comment">                /** Makes: thisPDF = thisPDF + Ap, where &quot;+&quot; is pose composition (both the mean, and the covariance matrix are updated) (see formulas in jacobiansPoseComposition ).</span>
<a name="l00184"></a>00184 <span class="comment">                  */</span>
<a name="l00185"></a>00185                 <span class="keywordtype">void</span>  <a class="code" href="group__container__ops__grp.html#ga28127b8dfe78fea7644c4f2a3517cdef" title="a+=b (element-wise sum)">operator += </a>( <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> &amp;Ap);
<a name="l00186"></a>00186 <span class="comment"></span>
<a name="l00187"></a>00187 <span class="comment">                /** Makes: thisPDF = thisPDF - Ap, where &quot;-&quot; is pose inverse composition (both the mean, and the covariance matrix are updated)</span>
<a name="l00188"></a>00188 <span class="comment">                  */</span>
<a name="l00189"></a><a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html#a27fc0cc133dccb3a10ca63abb0c119bd">00189</a>                 <span class="keyword">inline</span> <span class="keywordtype">void</span> operator -=( <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> &amp;ref  ) {
<a name="l00190"></a>00190                         this-&gt;inverseComposition(*<span class="keyword">this</span>,ref);
<a name="l00191"></a>00191                 }
<a name="l00192"></a>00192 
<a name="l00193"></a>00193 
<a name="l00194"></a>00194 <span class="comment"></span>
<a name="l00195"></a>00195 <span class="comment">                /** This static method computes the pose composition Jacobians, with these formulas:</span>
<a name="l00196"></a>00196 <span class="comment">                        \code</span>
<a name="l00197"></a>00197 <span class="comment">                                df_dx =</span>
<a name="l00198"></a>00198 <span class="comment">                                [ 1, 0, -sin(phi_x)*x_u-cos(phi_x)*y_u ]</span>
<a name="l00199"></a>00199 <span class="comment">                                [ 0, 1,  cos(phi_x)*x_u-sin(phi_x)*y_u ]</span>
<a name="l00200"></a>00200 <span class="comment">                                [ 0, 0,                              1 ]</span>
<a name="l00201"></a>00201 <span class="comment"></span>
<a name="l00202"></a>00202 <span class="comment">                                df_du =</span>
<a name="l00203"></a>00203 <span class="comment">                                [ cos(phi_x) , -sin(phi_x) ,  0  ]</span>
<a name="l00204"></a>00204 <span class="comment">                                [ sin(phi_x) ,  cos(phi_x) ,  0  ]</span>
<a name="l00205"></a>00205 <span class="comment">                                [         0  ,          0  ,  1  ]</span>
<a name="l00206"></a>00206 <span class="comment">                        \endcode</span>
<a name="l00207"></a>00207 <span class="comment">                  */</span>
<a name="l00208"></a>00208                 <span class="keyword">static</span> <span class="keywordtype">void</span> jacobiansPoseComposition(
<a name="l00209"></a>00209                         <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> &amp;x,
<a name="l00210"></a>00210                         <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> &amp;u,
<a name="l00211"></a>00211                         <a class="code" href="classmrpt_1_1math_1_1_c_matrix_fixed_numeric.html">CMatrixDouble33</a>                  &amp;df_dx,
<a name="l00212"></a>00212                         <a class="code" href="classmrpt_1_1math_1_1_c_matrix_fixed_numeric.html">CMatrixDouble33</a>                  &amp;df_du);
<a name="l00213"></a>00213 
<a name="l00214"></a>00214 
<a name="l00215"></a>00215 
<a name="l00216"></a>00216         }; <span class="comment">// End of class def.</span>
<a name="l00217"></a>00217 
<a name="l00218"></a>00218 <span class="comment"></span>
<a name="l00219"></a>00219 <span class="comment">        /** Pose compose operator: RES = A (+) B , computing both the mean and the covariance */</span>
<a name="l00220"></a><a class="code" href="namespacemrpt_1_1poses.html#a975a082d2724049bb444268d34110d3f">00220</a>         <span class="keyword">inline</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> <a class="code" href="namespacemrpt_1_1poses.html#afb287beee02202a14b09f1011b648e6f" title="Compose a 2D point from a new coordinate base given by a 2D pose.">operator +</a>( <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> &amp;a, <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> &amp;b  ) {
<a name="l00221"></a>00221                 <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> res(a);
<a name="l00222"></a>00222                 res+=b;
<a name="l00223"></a>00223                 <span class="keywordflow">return</span> res;
<a name="l00224"></a>00224         }
<a name="l00225"></a>00225 <span class="comment"></span>
<a name="l00226"></a>00226 <span class="comment">        /** Pose inverse compose operator: RES = A (-) B , computing both the mean and the covariance */</span>
<a name="l00227"></a><a class="code" href="namespacemrpt_1_1poses.html#a39348a102f695e30365fe79f0e7bb29c">00227</a>         <span class="keyword">inline</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> <a class="code" href="namespacemrpt_1_1poses.html#a678c1606b35876eae036755599a22d84" title="Unary - operator: return the inverse pose &quot;-p&quot; (Note that is NOT the same than a pose with negative x...">operator -</a>( <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> &amp;a, <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> &amp;b  ) {
<a name="l00228"></a>00228                 <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">CPosePDFGaussian</a> res;
<a name="l00229"></a>00229                 res.<a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html#a76b5fbbb5431feb3783fc8792fb4ba62" title="Set  , computing the mean using the &quot;-&quot; operator and the covariances through the corresponding Jaco...">inverseComposition</a>(a,b);
<a name="l00230"></a>00230                 <span class="keywordflow">return</span> res;
<a name="l00231"></a>00231         }
<a name="l00232"></a>00232 <span class="comment"></span>
<a name="l00233"></a>00233 <span class="comment">        /** Dumps the mean and covariance matrix to a text stream.</span>
<a name="l00234"></a>00234 <span class="comment">          */</span>
<a name="l00235"></a>00235         std::ostream <a class="code" href="base_2include_2mrpt_2base_2link__pragmas_8h.html#a6045fa0129b1a3d6c8bf895470e66574">BASE_IMPEXP</a> &amp; <a class="code" href="namespacemrpt_1_1poses.html#aa4247c4d793d20edb770e56f22b286f1" title="Dumps a point as a string [x,y] or [x,y,z].">operator &lt;&lt; </a>(<a class="code" href="classstd_1_1ostream.html" title="STL class.">std::ostream</a> &amp; out, <span class="keyword">const</span> CPosePDFGaussian&amp; obj);
<a name="l00236"></a>00236 <span class="comment"></span>
<a name="l00237"></a>00237 <span class="comment">        /** Returns the Gaussian distribution of \f$ \mathbf{C} \f$, for \f$ \mathbf{C} = \mathbf{A} \oplus \mathbf{B} \f$.</span>
<a name="l00238"></a>00238 <span class="comment">          */</span>
<a name="l00239"></a>00239         poses::CPosePDFGaussian <a class="code" href="base_2include_2mrpt_2base_2link__pragmas_8h.html#a6045fa0129b1a3d6c8bf895470e66574">BASE_IMPEXP</a> <a class="code" href="namespacemrpt_1_1poses.html#afb287beee02202a14b09f1011b648e6f" title="Compose a 2D point from a new coordinate base given by a 2D pose.">operator + </a>( <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose2_d.html" title="A class used to store a 2D pose.">mrpt::poses::CPose2D</a> &amp;A, <span class="keyword">const</span> <a class="code" href="classmrpt_1_1poses_1_1_c_pose_p_d_f_gaussian.html" title="Declares a class that represents a Probability Density function (PDF) of a 2D pose ...">mrpt::poses::CPosePDFGaussian</a> &amp;B  );
<a name="l00240"></a>00240 
<a name="l00241"></a>00241         <span class="keywordtype">bool</span> <a class="code" href="base_2include_2mrpt_2base_2link__pragmas_8h.html#a6045fa0129b1a3d6c8bf895470e66574">BASE_IMPEXP</a> <a class="code" href="namespacemrpt_1_1poses.html#acd8c946fdfab1501027f3a9347181ebf">operator==</a>(<span class="keyword">const</span> CPosePDFGaussian &amp;p1,<span class="keyword">const</span> CPosePDFGaussian &amp;p2);
<a name="l00242"></a>00242 
<a name="l00243"></a>00243         } <span class="comment">// End of namespace</span>
<a name="l00244"></a>00244 } <span class="comment">// End of namespace</span>
<a name="l00245"></a>00245 
<a name="l00246"></a>00246 <span class="preprocessor">#endif</span>
</pre></div></div>
</div>
<br><hr><br> <table border="0" width="100%"> <tr> <td> Page generated by <a href="http://www.doxygen.org" target="_blank">Doxygen 1.7.5</a> for MRPT 0.9.5 SVN: at Sun Sep 25 17:20:18 UTC 2011</td><td></td> <td width="100"> </td> <td width="150">  </td></tr> </table>  </body></html>