Limitation of mass spring model and continuous model
- - Does mass-spring system converge toward a unique solution when sampling increase ?
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- \(\Rightarrow\) No :(
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- Depends on the connectivity \(\rightarrow\) bad for physical accuracy
- Corollary
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- - Mass-springs work well for grid-mesh structure (draping)
- - Less for arbitrary triangular meshes
- 1st improvment: Change toward energy formulation for bending springs (limits locking effect)
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- \(\displaystyle F=\frac{\partial E}{\partial p}\)
- \(\displaystyle E=\frac{1}{2}K\,L\,\kappa^2\), \(\kappa\): curvature