Physics—Based Loop Surface Modeling

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