A parametric finite element method for fourth order geometric evolution equations
Journal of Computational Physics
Mesh deformation of dynamic smooth manifolds with surface correspondences
MFCS'10 Proceedings of the 35th international conference on Mathematical foundations of computer science
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Given a triangular skin mesh $\mathcal M(B)$ constructed by a set of spheres B={b1, b2, ...}, we modify some selected spheres in B and generate a deformation process to a new skin surface mesh $\mathcal M(B')$. All new skin surface meshes during the deformation are constructed by moving original surface points in $\mathcal M(B)$, refining bad quality triangles and contracting short edges. Thus, the algorithm guarantees triangle quality and surface coordinate correspondence during the deformation process.