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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 camcalp_c</title>  <meta name="keywords" content="camcalp_c">  <meta name="description" content="CAMCALP_C	Camera calibration matrix from parameters (central projection)">  <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">  <meta name="generator" content="m2html &copy; 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> &gt;  <a href="#">simulink</a> &gt; camcalp_c.m</div><!--<table width="100%"><tr><td align="left"><a href="../index.html"><img alt="<" border="0" src="../left.png">&nbsp;Master index</a></td><td align="right"><a href="index.html">Index for ./simulink&nbsp;<img alt=">" border="0" src="../right.png"></a></td></tr></table>--><h1>camcalp_c</h1><h2><a name="_name"></a>PURPOSE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2><div class="box"><strong>CAMCALP_C	Camera calibration matrix from parameters (central projection)</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 C = camcalp(cp, A, B, C) </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">CAMCALP_C    Camera calibration matrix from parameters (central projection)    C = CAMCALP_C(cp)    C = CAMCALP_C(cp, Tcam)    C = CAMCALP_C(cp, pC, x, z)    Compute a 3x4 camera calibration matrix from given camera intrinsic    and extrinsic parameters.       CP is a camera parameter vector comprising:        cp(1)   f, the focal length of the lens (m)            cp(2:3) alpha is a 2-element vector of horizontal and             vertical pixel pitch of the sensor (pixels/m)         cp(4:5) p0 is a 2-element vector of principal point (u0, v0)            in pixels,            If length(cp) == 3, then p0 defaults to (0,0)        Tcam is the pose of the camera wrt the world frame, defaults to        identity matrix if not given (optical axis along Z-axis).    Alternatively the camera pose can be given by specifying the coordinates    of the center, pC, and unit vectors for the camera's x-axis and     z-axis (optical axis).    This camera calibration matrix is for the central projection as     commonly used in computer vision literature where the focal point    is at z=0, and rays pass through the image plane at z=f.  This model    has no image inversion.      f, alphax and alphay are commonly known as the intrinsic camera     parameters.  Tcam is commonly known as the extrinsic camera parameters. NOTE:     that this calibration matrix includes the lens image inversion, so    that the camera coordinate system is:        0------------------&gt; X        |        |        |    + (principal point)        |        |        v  SEE ALSO:  camcalp, <a href="camera.html" class="code" title="function uv = camera(C, p, Tobj, Tcam)">camera</a>, pulnix    Copyright (c) Peter Corke, 1999  Machine Vision Toolbox for Matlab</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)"></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">%CAMCALP_C    Camera calibration matrix from parameters (central projection)</span>0002 <span class="comment">%</span>0003 <span class="comment">%    C = CAMCALP_C(cp)</span>0004 <span class="comment">%    C = CAMCALP_C(cp, Tcam)</span>0005 <span class="comment">%    C = CAMCALP_C(cp, pC, x, z)</span>0006 <span class="comment">%</span>0007 <span class="comment">%    Compute a 3x4 camera calibration matrix from given camera intrinsic</span>0008 <span class="comment">%    and extrinsic parameters.</span>0009 <span class="comment">%       CP is a camera parameter vector comprising:</span>0010 <span class="comment">%        cp(1)   f, the focal length of the lens (m)</span>0011 <span class="comment">%            cp(2:3) alpha is a 2-element vector of horizontal and</span>0012 <span class="comment">%            vertical pixel pitch of the sensor (pixels/m)</span>0013 <span class="comment">%         cp(4:5) p0 is a 2-element vector of principal point (u0, v0)</span>0014 <span class="comment">%            in pixels,</span>0015 <span class="comment">%            If length(cp) == 3, then p0 defaults to (0,0)</span>0016 <span class="comment">%</span>0017 <span class="comment">%        Tcam is the pose of the camera wrt the world frame, defaults to</span>0018 <span class="comment">%        identity matrix if not given (optical axis along Z-axis).</span>0019 <span class="comment">%</span>0020 <span class="comment">%    Alternatively the camera pose can be given by specifying the coordinates</span>0021 <span class="comment">%    of the center, pC, and unit vectors for the camera's x-axis and</span>0022 <span class="comment">%    z-axis (optical axis).</span>0023 <span class="comment">%</span>0024 <span class="comment">%    This camera calibration matrix is for the central projection as</span>0025 <span class="comment">%    commonly used in computer vision literature where the focal point</span>0026 <span class="comment">%    is at z=0, and rays pass through the image plane at z=f.  This model</span>0027 <span class="comment">%    has no image inversion.</span>0028 <span class="comment">%</span>0029 <span class="comment">%      f, alphax and alphay are commonly known as the intrinsic camera</span>0030 <span class="comment">%    parameters.  Tcam is commonly known as the extrinsic camera parameters.</span>0031 <span class="comment">%</span>0032 <span class="comment">% NOTE:     that this calibration matrix includes the lens image inversion, so</span>0033 <span class="comment">%    that the camera coordinate system is:</span>0034 <span class="comment">%</span>0035 <span class="comment">%        0------------------&gt; X</span>0036 <span class="comment">%        |</span>0037 <span class="comment">%        |</span>0038 <span class="comment">%        |    + (principal point)</span>0039 <span class="comment">%        |</span>0040 <span class="comment">%        |</span>0041 <span class="comment">%        v</span>0042 <span class="comment">%</span>0043 <span class="comment">% SEE ALSO:  camcalp, camera, pulnix</span>0044 <span class="comment">%</span>0045 <span class="comment">%    Copyright (c) Peter Corke, 1999  Machine Vision Toolbox for Matlab</span>0046 0047 <a name="_sub0" href="#_subfunctions" class="code">function C = camcalp(cp, A, B, C)</a>0048     f = cp(1);0049     alpha = cp(2:3);0050     <span class="keyword">if</span> length(cp) &lt;=3,0051         p0 = [ 0 0];0052     <span class="keyword">else</span>0053         p0 = cp(4:5);0054     <span class="keyword">end</span>0055     <span class="keyword">if</span> nargin == 1,0056         Tcam = eye(4);0057     <span class="keyword">elseif</span> nargin == 2,0058         Tcam = A;0059     <span class="keyword">elseif</span> nargin == 4,0060         pC = A(:);0061         x = unit(B(:));0062         z = unit(C(:));0063         <span class="keyword">if</span> abs(dot(x,z)) &gt; 1e-10,0064             error(<span class="string">'x and z vectors should be orthogonal'</span>);0065         <span class="keyword">end</span>0066         R=[x unit(cross(z,x)) z];0067 0068         Tcam = transl(pC) * [R zeros(3,1); 0 0 0 1];0069     <span class="keyword">end</span>0070 0071      C = [    alpha(1) 0 p0(1) 0; 0072         0 alpha(2) p0(2) 0;0073         0 0 1 00074         ] * [ 1 0 0 0;0075           0 1 0 0;0076           0 0 1/f 0;0077           0 0 0 1] * inv(Tcam);</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> &copy; 2003</address></body></html>

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