Efficient, fair interpolation using Catmull-Clark surfaces
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Dynamic Catmull-Clark Subdivision Surfaces
IEEE Transactions on Visualization and Computer Graphics
Physics-Based Subdivision Surface Modeling for Medical Imaging and Simulation
MIAR '01 Proceedings of the International Workshop on Medical Imaging and Augmented Reality (MIAR '01)
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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.