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15<div><a href="../index.html">Home</a> &gt;  <a href="index.html">.</a> &gt; pxcm_tsai.m</div>
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19
20<h1>pxcm_tsai
21</h1>
22
23<h2><a name="_name"></a>PURPOSE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
24<div class="box"><strong>'pxcm_tsai': find differentials of the Tsai calibration</strong></div>
25
26<h2><a name="_synopsis"></a>SYNOPSIS <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
27<div class="box"><strong>function [A11,A12,A13,A21,A22,A23]=pxcm_tsai(a,var_phys) </strong></div>
28
29<h2><a name="_description"></a>DESCRIPTION <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
30<div class="fragment"><pre class="comment">'pxcm_tsai': find differentials of the Tsai calibration</pre></div>
31
32<!-- crossreference -->
33<h2><a name="_cross"></a>CROSS-REFERENCE INFORMATION <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
34This function calls:
35<ul style="list-style-image:url(../matlabicon.gif)">
36</ul>
37This function is called by:
38<ul style="list-style-image:url(../matlabicon.gif)">
39<li><a href="RUN_STLIN.html" class="code" title="function RUN_STLIN(file_A,file_B,vel_type,file_st,nx_patch,ny_patch,thresh_patch,fileAxml,fileBxml)">RUN_STLIN</a>     'RUN_STLIN': combine velocity fields for stereo PIV</li></ul>
40<!-- crossreference -->
41
42
43<h2><a name="_source"></a>SOURCE CODE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
44<div class="fragment"><pre>0001 <span class="comment">%'pxcm_tsai': find differentials of the Tsai calibration</span>
450002 <span class="comment">%</span>
460003 <a name="_sub0" href="#_subfunctions" class="code">function [A11,A12,A13,A21,A22,A23]=pxcm_tsai(a,var_phys)</a>
470004 a_read=a;
480005
490006 R=(a.R)';
500007
510008 x=var_phys(:,1);
520009 y=var_phys(:,2);
530010
540011 <span class="keyword">if</span> isfield(a,<span class="string">'PlanePos'</span>)
550012     prompt={<span class="string">'Plane 1 Index'</span>,<span class="string">'Plane 2 Index'</span>};
560013     Rep=inputdlg(prompt,<span class="string">'Target displacement test'</span>);
570014     Z1=str2double(Rep(1));
580015     Z2=str2double(Rep(2));
590016     z=(a.PlanePos(Z2,3)+a.PlanePos(Z1,3))/2
600017 <span class="keyword">else</span>
610018     z=0;
620019 <span class="keyword">end</span>
630020
640021 <span class="comment">%transform coeff for differentiels</span>
650022 a.C11=R(1)*R(8)-R(2)*R(7);
660023 a.C12=R(2)*R(7)-R(1)*R(8);
670024 a.C21=R(4)*R(8)-R(5)*R(7);
680025 a.C22=R(5)*R(7)-R(4)*R(8);
690026 a.C1x=R(3)*R(7)-R(9)*R(1);
700027 a.C1y=R(3)*R(8)-R(9)*R(2);
710028 a.C2x=R(6)*R(7)-R(9)*R(4);
720029 a.C2y=R(6)*R(8)-R(9)*R(5);
730030
740031
750032 <span class="comment">%dependence in x,y</span>
760033 denom=(R(7)*x+R(8)*y+R(9)*z+a.Tz).*(R(7)*x+R(8)*y+R(9)*z+a.Tz);
770034 A11=(a.f*a.sx*(a.C11*y-a.C1x*z+R(1)*a.Tz-R(7)*a.Tx)./denom)/a.dpx;
780035 A12=(a.f*a.sx*(a.C12*x-a.C1y*z+R(2)*a.Tz-R(8)*a.Tx)./denom)/a.dpx;
790036 A21=(a.f*a.sx*(a.C21*y-a.C2x*z+R(4)*a.Tz-R(7)*a.Ty)./denom)/a.dpy;
800037 A22=(a.f*(a.C22*x-a.C2y*z+R(5)*a.Tz-R(8)*a.Ty)./denom)/a.dpy;
810038 A13=(a.f*(a.C1x*x+a.C1y*y+R(3)*a.Tz-R(9)*a.Tx)./denom)/a.dpx;
820039 A23=(a.f*(a.C2x*x+a.C2y*y+R(6)*a.Tz-R(9)*a.Ty)./denom)/a.dpy;
830040
840041 <span class="comment">%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%</span>
850042 <span class="comment">%Old Version for z=0</span>
860043 <span class="comment">%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%</span>
870044 <span class="comment">% %'camera' coordinates</span>
880045 <span class="comment">% xc=R(1)*x+R(2)*y+a.Tx;</span>
890046 <span class="comment">% yc=R(4)*x+R(5)*y+a.Ty;</span>
900047 <span class="comment">% zc=R(7)*x+R(8)*y+a.Tz;</span>
910048 <span class="comment">% %undistorted image coordinates</span>
920049 <span class="comment">% Xu=a.f*xc./zc;</span>
930050 <span class="comment">% Yu=a.f*yc./zc;</span>
940051 <span class="comment">% %distorted image coordinates</span>
950052 <span class="comment">% distortion=(a.kappa1)*(Xu.*Xu+Yu.*Yu)+1; %!! intégrer derivation kappa</span>
960053 <span class="comment">% % distortion=1;</span>
970054 <span class="comment">% Xd=Xu./distortion;</span>
980055 <span class="comment">% Yd=Yu./distortion;</span>
990056 <span class="comment">% %pixel coordinates</span>
1000057 <span class="comment">% X=Xd*a.sx/a.dpx+a.Cx;</span>
1010058 <span class="comment">% Y=Yd/a.dpy+a.Cy;</span>
1020059 <span class="comment">%</span>
1030060 <span class="comment">% %transform coeff for differentiels</span>
1040061 <span class="comment">% a.C11=R(1)*R(8)-R(2)*R(7);</span>
1050062 <span class="comment">% a.C12=R(2)*R(7)-R(1)*R(8);</span>
1060063 <span class="comment">% a.C21=R(4)*R(8)-R(5)*R(7);</span>
1070064 <span class="comment">% a.C22=R(5)*R(7)-R(4)*R(8);</span>
1080065 <span class="comment">% a.C1x=R(3)*R(7)-R(9)*R(1);</span>
1090066 <span class="comment">% a.C1y=R(3)*R(8)-R(9)*R(2);</span>
1100067 <span class="comment">% a.C2x=R(6)*R(7)-R(9)*R(4);</span>
1110068 <span class="comment">% a.C2y=R(6)*R(8)-R(9)*R(5);</span>
1120069 <span class="comment">%</span>
1130070 <span class="comment">%</span>
1140071 <span class="comment">% %dependence in x,y</span>
1150072 <span class="comment">% denom=(R(7)*x+R(8)*y+a.Tz).*(R(7)*x+R(8)*y+a.Tz);</span>
1160073 <span class="comment">% A11=(a.f*a.sx*(a.C11*y+R(1)*a.Tz-R(7)*a.Tx)./denom)/a.dpx;</span>
1170074 <span class="comment">% A12=(a.f*a.sx*(a.C12*x+R(2)*a.Tz-R(8)*a.Tx)./denom)/a.dpx;</span>
1180075 <span class="comment">% A21=(a.f*a.sx*(a.C21*y+R(4)*a.Tz-R(7)*a.Ty)./denom)/a.dpy;</span>
1190076 <span class="comment">% A22=(a.f*(a.C22*x+R(5)*a.Tz-R(8)*a.Ty)./denom)/a.dpy;</span>
1200077 <span class="comment">% A13=(a.f*(a.C1x*x+a.C1y*y+R(3)*a.Tz-R(9)*a.Tx)./denom)/a.dpx;</span>
1210078 <span class="comment">% A23=(a.f*(a.C2x*x+a.C2y*y+R(6)*a.Tz-R(9)*a.Ty)./denom)/a.dpy;</span>
1220079 <span class="comment">%</span></pre></div>
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