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How to flatten volume specimens?

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PNG File b91ae1476af183e0736d9c1638ee284ee97ce497.png 2 kB Anonymous Dec 05, 2012 11:10
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$$\bar{Z} = \frac{Z-Z_1}{Z_2-Z_1} \left[ f_2(X,Y) - f_1(X,Y)\right] + f_1(X,Y)$$  
PNG File ed04f4c9b448afe10db891de05a0457a3fcecc14.png 1 kB Anonymous Dec 05, 2012 11:10
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$$\bar{u}(X,Y,Z) = u(X,Y,\bar{Z})$$  
PNG File 68c05fe91be9844cd6fe70136ceb0cb97a338ef4.png 2 kB Anonymous Dec 05, 2012 11:10
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$$ \kappa = \sum_\tau \left[ Z^\tau - Z_1 - h(X^\tau,Y^\tau) \right]^2 \left[ Z^\tau - Z_2 - h(X^\tau,Y^\tau) \right]^2 $$  
PNG File 1720163ff3cf6aa4276c1613c1ca17ab315bf516.png 4 kB Anonymous Dec 05, 2012 11:10
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$$ T \left\{ \begin{array}{rcl} \overline{X} & = & X \\ \overline{Y} & = & Y \\ \overline{Z} & = & Z - h(X,Y) \\ \end{array} \right. \quad {\rm with } \quad h(X,Y) = \sum_{1 \leq i+j \leq n} h_{ij} X^i Y^j $$  
PNG File b774c226edd27b248b51c52d2a79ebd6c200b35b.png 2 kB Anonymous Dec 05, 2012 11:10
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$$ \left\{ \begin{array}{rcl} \overline{P_\theta} & = & P_\theta \circ T \\ \overline{\bf{X^\tau}} & = & T^{-1}(\bf{X^\tau}) \\ \end{array} \right. $$  
PNG File 4e4e20c84f3540eee36125d6875d1e59112a986d.png 1.0 kB Brandon Carl Mar 29, 2012 03:22
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LaTeX image: $$\bar{Z} = \frac{Z-Z_1}{Z_2-Z_1} \left[ f_2(X,Y) - f_1(X,Y)\right] + f_1(X,Y)$$  
PNG File b418d3f6e9ea06bac8d938fd4ece03325c56825b.png 0.5 kB Brandon Carl Mar 29, 2012 03:22
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LaTeX image: $$\bar{u}(X,Y,Z) = u(X,Y,\bar{Z})$$  
PNG File 62b7bea780cdb595db0c0da3e096efcd3455db7a.png 1 kB Brandon Carl Mar 29, 2012 03:22
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LaTeX image: $$ \kappa = \sum_\tau \left[ Z^\tau - Z_1 - h(X^\tau,Y^\tau) \right]^2 \left[ Z^\tau - Z_2 - h(X^\tau,Y^\tau) \right]^2 $$  
PNG File 49b2957607796527871ac2b0e01f91d653e884e4.png 2 kB Brandon Carl Mar 29, 2012 03:22
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LaTeX image: $$ T \left\{ \begin{array}{rcl} \overline{X} & = & X \\ \overline{Y} & = & Y \\ \overline{Z} & = & Z - h(X,Y) \\ \end{array} \right. \quad {\rm with } \quad h(X,Y) = \sum_{1 \leq i+j \leq n} h_{ij} X^i Y^j $$  
PNG File 3e678c0b8d8f2b12e6b4172f4c7c6fb31e659ce6.png 0.7 kB Brandon Carl Mar 29, 2012 03:22
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LaTeX image: $$ \left\{ \begin{array}{rcl} \overline{P_\theta} & = & P_\theta \circ T \\ \overline{\bf{X^\tau}} & = & T^{-1}(\bf{X^\tau}) \\ \end{array} \right. $$  
GIF File Naoko3A9unwarpedXY.gif 2.45 MB Masako Terada Nov 04, 2009 10:23
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JPEG File flattenLMsnapshot_graybkg.jpg 70 kB Sébastien Phan Nov 04, 2009 07:14
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GIF File LM_model.gif 128 kB Masako Terada Nov 03, 2009 19:54
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GIF File LM_flat.gif 416 kB Masako Terada Nov 03, 2009 19:54
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GIF File LM_notflat.gif 505 kB Masako Terada Nov 03, 2009 19:54
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ZIP Archive flatten_naoko.tar.gz 36.38 MB Masako Terada Nov 03, 2009 17:45
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PNG File Naoko3A9-unwarped-XYZ.png 673 kB Sébastien Phan Nov 03, 2009 17:38
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GIF File Naoko3A9warpedYZ.gif 413 kB Masako Terada Nov 03, 2009 17:26
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GIF File Naoko3A9warpedXZ.gif 432 kB Masako Terada Nov 03, 2009 17:26
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GIF File Naoko3A9warpedXY.gif 1.78 MB Masako Terada Nov 03, 2009 17:26
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