Physically realistic interactive simulation for biological soft tissues

Many applications in biomedical engineering and surgical simulators require effective modeling methods for dynamic interactive simulations. Due to its high computation time, the standard Finite Element Method (FEM) cannot be used in such cases. A FEM-based method is first presented, which rely on the decomposition of the deformation of each element into a rigid motion and a pure deformation, and a fast implicit dynamic integration without assembling a global stiffness matrix. A second physically-based discrete method is also proposed, derived from computer graphics modeling. These methods are finally compared, in terms of accuracy and speed, to theoretical problems, FEMresults and experimental data.

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