Mesh deformation of dynamic smooth manifolds with surface correspondences

Abstract

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. © 2010 Springer-Verlag.