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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/REC-html40/loose.dtd"><html><head> <title>Description of trnorm</title> <meta name="keywords" content="trnorm"> <meta name="description" content="TRNORM Normalize a homogeneous transformation."> <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1"> <meta name="generator" content="m2html © 2003 Guillaume Flandin"> <meta name="robots" content="index, follow"> <link type="text/css" rel="stylesheet" href="./m2html.css"></head><body><a name="_top"></a><div><a href="./index.html">Home</a> > <a href="index.html">.</a> > trnorm.m</div><!--<table width="100%"><tr><td align="left"><a href="./index.html"><img alt="<" border="0" src="./left.png"> Master index</a></td><td align="right"><a href="index.html">Index for . <img alt=">" border="0" src="./right.png"></a></td></tr></table>--><h1>trnorm</h1><h2><a name="_name"></a>PURPOSE <a href="#_top"><img alt="^" border="0" src="./up.png"></a></h2><div class="box"><strong>TRNORM Normalize a homogeneous transformation.</strong></div><h2><a name="_synopsis"></a>SYNOPSIS <a href="#_top"><img alt="^" border="0" src="./up.png"></a></h2><div class="box"><strong>function r = trnorm(t) </strong></div><h2><a name="_description"></a>DESCRIPTION <a href="#_top"><img alt="^" border="0" src="./up.png"></a></h2><div class="fragment"><pre class="comment">TRNORM Normalize a homogeneous transformation. TN = TRNORM(T) Returns a normalized homogeneous tranformation matrix in which the rotation submatrix is a proper orthogonal matrix. The O and V vectors are normalized and the normal vector is formed from O x A. Finite word length arithmetic can cause transforms to become `unnormalized'. See also: <a href="oa2tr.html" class="code" title="function r = oa2tr(o, a)">OA2TR</a></pre></div><!-- crossreference --><h2><a name="_cross"></a>CROSS-REFERENCE INFORMATION <a href="#_top"><img alt="^" border="0" src="./up.png"></a></h2>This function calls:<ul style="list-style-image:url(./matlabicon.gif)"><li><a href="unit.html" class="code" title="function u = unit(v)">unit</a> UNIT Unitize a vector</li></ul>This function is called by:<ul style="list-style-image:url(./matlabicon.gif)"></ul><!-- crossreference --><h2><a name="_source"></a>SOURCE CODE <a href="#_top"><img alt="^" border="0" src="./up.png"></a></h2><div class="fragment"><pre>0001 <span class="comment">%TRNORM Normalize a homogeneous transformation.</span>0002 <span class="comment">%</span>0003 <span class="comment">% TN = TRNORM(T)</span>0004 <span class="comment">%</span>0005 <span class="comment">% Returns a normalized homogeneous tranformation matrix in which the rotation</span>0006 <span class="comment">% submatrix is a proper orthogonal matrix.</span>0007 <span class="comment">% The O and V vectors are normalized and the normal vector is formed from</span>0008 <span class="comment">% O x A.</span>0009 <span class="comment">%</span>0010 <span class="comment">% Finite word length arithmetic can cause transforms to become `unnormalized'.</span>0011 <span class="comment">%</span>0012 <span class="comment">% See also: OA2TR</span>0013 0014 <span class="comment">% Copyright (C) 1993-2008, by Peter I. Corke</span>0015 <span class="comment">%</span>0016 <span class="comment">% This file is part of The Robotics Toolbox for Matlab (RTB).</span>0017 <span class="comment">%</span>0018 <span class="comment">% RTB is free software: you can redistribute it and/or modify</span>0019 <span class="comment">% it under the terms of the GNU Lesser General Public License as published by</span>0020 <span class="comment">% the Free Software Foundation, either version 3 of the License, or</span>0021 <span class="comment">% (at your option) any later version.</span>0022 <span class="comment">%</span>0023 <span class="comment">% RTB is distributed in the hope that it will be useful,</span>0024 <span class="comment">% but WITHOUT ANY WARRANTY; without even the implied warranty of</span>0025 <span class="comment">% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</span>0026 <span class="comment">% GNU Lesser General Public License for more details.</span>0027 <span class="comment">%</span>0028 <span class="comment">% You should have received a copy of the GNU Leser General Public License</span>0029 <span class="comment">% along with RTB. If not, see <http://www.gnu.org/licenses/>.</span>0030 0031 <a name="_sub0" href="#_subfunctions" class="code">function r = trnorm(t)</a>0032 n = cross(t(1:3,2), t(1:3,3)); <span class="comment">% N = O x A</span>0033 o = cross(t(1:3,3), n); <span class="comment">% O = A x N</span>0034 r = [<a href="unit.html" class="code" title="function u = unit(v)">unit</a>(n) <a href="unit.html" class="code" title="function u = unit(v)">unit</a>(t(1:3,2)) <a href="unit.html" class="code" title="function u = unit(v)">unit</a>(t(1:3,3)) t(1:3,4); 0 0 0 1];</pre></div><hr><address>Generated on Sun 15-Feb-2009 18:09:29 by <strong><a href="http://www.artefact.tk/software/matlab/m2html/">m2html</a></strong> © 2003</address></body></html>⌨️ 快捷键说明
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