Constrained Point-Based Framework with Efficient Mechanical Interaction for Virtual Surgery

This paper proposes a stable and volume conserving meshless approach for soft tissue deformation in virtual surgery, where an efficient tissue-tissue interaction scheme is designed for interacting deformable bodies. Specifically, we integrate position-based volume constraint into point-based framework in order to conserve the total volume of deformable bodies and maintain the stability of the simulation. Moreover, we resolve the tissue-tissue interactions of deformable bodies with position-based contact model, which directly computes the displacement caused by normal and shear stress. The proposed approach can be regarded as a fast approximation of the precise contact model. Experimental results demonstrate that our approach can well enforce the volume conservation of deformable bodies, and obtain visual plausible behaviors for multiple organs interactions.