Blend Shapes: Multi-target blending
- Interpolate between multiple key poses
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- Interesting for facial animation
- ex. 30% happy, 50% suprised, 20% tired
- - Per-vertex formulation \( \displaystyle p_i(t)=\sum_{k}^{N_{poses}}\omega_k(t) \, b_{ik}\)
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- - \(p_i\): \(i\)th deformed vertex coordinates
- - \(b_{ik}\): Initial \(i\)th vertex coordinates at pose \(k\)
- - \(w_{k}\): Interpolation weight for pose \(k\).
- - Matrix formulation \({\bf p}(t)=\mathrm{B}\,{\bf \omega}(t)\)
- \(\left(\begin{array}{c}p_1(t) \\ p_2(t) \\ \vdots \\ \vdots \\ p_N(t)\end{array}\right) = \underbrace{\left(\begin{array}{ccc}b_{11} & \dots & b_{1
N_{poses}} \\ b_{21} & \dots & b_{2 N_{poses}} \\ & \vdots & \\ & \vdots & \\ b_{N1} & \dots & b_{N N_{poses}} \end{array}\right)}_{all\; vertices\;
from\; all\; poses} \underbrace{\left(\begin{array}{c}\omega_1(t) \\ \vdots \\ \omega_{N_{poses}}(t)\end{array}\right)}_{weights\; per\; pose}\)
