Physics-Based Loop Surface Modeling

Strongly inspired by the research on physics-based dynamic models for surfaces, we propose a new method for precisely evaluating the dynamic parameters (mass, damping and stiffness matrices, and dynamic forces) for Loop surfaces without recursive subdivision regardless of regular or irregular faces. It is shown that the thin-plate-energy of Loop surfaces can be evaluated precisely and efficiently, even though there are extraordinary points in the initial meshes, unlike the previous dynamic Loop surface scheme. Hence, the new method presented for Loop surfaces is much more efficient than the previous schemes.