Smooth skinning - Summary
- \(\displaystyle p=\left(\sum_{k=0}^{N-1} \alpha_k \, \mathrm{M}_k\right)\,p^0 = \left(\sum_{k=0}^{N-1} \alpha_k \;
\mathrm{T}_k\,(\mathrm{T}_k^0)^{-1}\right)\,p^0 \)
- \(\displaystyle \forall k\,,\; \omega_k\in[0,1]\), and \(\sum_{k=0}^{N-1} \alpha_k=1\)
- The current standard for almost all articulated character deformations
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- - Intuitive deformation
- - Controlable shape (through weights)
- - Fast to compute (GPU compatible)
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- matrix average, multiplication matrix-vector
- \(\Rightarrow\) Heavily used in Animation cinema & Video Game
