Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Meshing skin surfaces with certified topology
Computational Geometry: Theory and Applications
A parametric finite element method for fourth order geometric evolution equations
Journal of Computational Physics
Approximating polyhedral objects with deformable smooth surfaces
Computational Geometry: Theory and Applications
Quality tetrahedral mesh generation for macromolecules
ISAAC'06 Proceedings of the 17th international conference on Algorithms and Computation
Computational Geometry: Theory and Applications
Design and analysis of planar shape deformation
Computational Geometry: Theory and Applications
Local modification of skin surface mesh: towards free-form skin surface deformation
CGGA'10 Proceedings of the 9th international conference on Computational Geometry, Graphs and Applications
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Maintaining a moving mesh of a deforming surface is widely studied in various disciplines. However, difficulties arise with requirements of topology changes, homeomorphism between mesh and surface, and guarantees of triangle quality. We propose a mesh deformation algorithm to satisfy the above requirements. We employ the skin surface by Edelsbrunner that approximates objects in fields like computer graphics, molecular modeling and engineering. We complete the general deformation framework by introducing a new mesh point movement and scheduling function to satisfy the requirements.