Physics-based subdivision surface modeling for medical imaging and simulation

Abstract

In this paper a physics-based dynamic subdivision surface model based on Catmull-Clark surfaces is introduced and a new technique for exact evaluation of the dynamic model parameters, such as mass, damping and stiffness matrices, and dynamic forces etc. is presented for the dynamic subdivision surface. A closed-form analytic formula for thin-plate energy of Catmull-Clark surfaces of arbitrary topology is derived, which does not require recursive subdivision for calculating the dynamic parameters, so that it is more efficient and fast than the existing methods published for such dynamic models. This new strategy can be used for deformable surface modeling, medical imaging and simulation and so on.