# Transformation

\begin{align}
\sum_{j=1}^{M}{\left\| S_j - T_j \right\|}_F^2
&= \sum_{j=1}^{M}{\left\| S_j - \widetilde{V}_jV_j^{-1} \right\|}_F^2
\\
&= \sum_{j=1}^{M}{\left\| \left( S_j - \widetilde{V}_jV_j^{-1} \right)^T \right\|}_F^2
\\
&= \sum_{j=1}^{M}{\left\| S_j^T - {V_j^{-1}}^T \widetilde{V}_j^T \right\|}_F^2
\\
&= \sum_{j=1}^{M}{\left\| S_j^T - {\hat{V}_j^{-1}}^T x^T \right\|}_F^2
\\
&= {\left\|
\begin{pmatrix}
S_1^T
\\
S_2^T
\\
...
\\
S_M^T
\end{pmatrix} -
\begin{pmatrix}
{\hat{V_1}^{-1}}^T
\\
{\hat{V_2}^{-1}}^T
\\
...
\\
{\hat{V_M}^{-1}}^T
\end{pmatrix} x^T
\right\|}_F^2
\end{align}

0ecc9c59bd5b93dcd2525b5b61f9ce544e0fe73a
ipynb
Jupyter Notebook
transformation.ipynb
mickare/Deformation-Transfer-for-Triangle-Meshes
5809c92ddcaecc6df45443e3109a3848b55d9045
MIT
2021-03-22T02:46:38.000Z
2022-03-30T08:41:44.000Z
transformation.ipynb
hendrikp/Deformation-Transfer-for-Triangle-Meshes
fbb3b73c78cf3df529759f7497cc1894be5754bb
MIT
2021-06-18T13:43:27.000Z
2021-08-02T16:38:58.000Z
transformation.ipynb
hendrikp/Deformation-Transfer-for-Triangle-Meshes
fbb3b73c78cf3df529759f7497cc1894be5754bb
MIT
2021-04-09T10:23:03.000Z
2022-02-21T11:51:17.000Z
Qwen/Qwen-72B
1. YES
2. YES