Physics-based subdivision surface modeling for medical imaging and simulation

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...