METHOD AND SYSTEM OF REAL-TIME GRAPHICAL SIMULATION OF LARGE ROTATIONAL DEFORMATION AND MANIPULATION USING MODAL WARPING

摘要

A real-time simulation method and system for large deformations is provided. Green's nonlinear strain tensor accurately models large deformations. Modal analysis based on a linear strain tensor has been shown to be suitable for real-time simulation, but is accurate only for moderately small deformations. In the present invention, the rotational component of an infinitesimal deformation is identified, and traditional linear modal analysis is extended to track that component. And the invention develops a procedure to integrate the small rotations occurring at the nodal points. An interesting feature of the formulation is that it can implement both position and orientation constraints in a straightforward manner. These constraints can be used to interactively manipulate the shape of a deformable solid by dragging/twisting a set of nodes. Experiments show that the technique runs in real-time even for a complex model, and that it can simulate large bending and/or twisting deformations with acceptable realism.