# Skin weight optimization (matrix form) (3)

- 07/2018 - #Jumble

### Matrix form second attempt

$$

\nabla \mathbf s_i \sum\limits_{j \in \mathcal N(i)} (c_{ij} \mathbf S_i) \vec w_i - \nabla \mathbf s_i \sum\limits_{j \in \mathcal N(i)} (c_{ij} \mathbf S_j) \vec w_j = \nabla \mathbf s_i \vec b_i

$$

It would be interesting to express the above in terms of the Laplacian L and skinning matrix S.

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