Real-Time Topology Modification for Finite Element Models with Haptic Feedback
We propose a real-time procedure for performing topology modifications on finite element models of objects with linear elastic behaviour. For a 3D tetrahedral model, it requires the inversion of a 6 × 6 matrix and the weighted multiplication of a thin matrix with its transpose. We exemplify with an implementation in our surgical simulator, where we impose the tight computational constraints of haptic feedback. Our experimental results show that we can obtain response times of under one second for objects represented by tetrahedral meshes with more than 2000 nodes.
KeywordsHaptic Feedback Haptic Device Mesh Node Tetrahedral Mesh Mesh Data
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- 2.Bro-Nielsen, M., Cotin, S.: Real-time Volumetric Deformable Models for Surgery Simulation using Finite Elements and Condensation. In: Proceedings of Eurographics 1996, vol. 15(3), pp. 57–66 (1996)Google Scholar
- 5.Picinbono, G.: Geometrical and Physical Models for Surgery Simulation Phd Thesis, University of Nice-Sophia Antipolis (2001)Google Scholar
- 8.Zhong, H., Wachowiak, M.P., Peters, T.M.: Adaptive Finite Element Technique for Cutting in Surgical Simulation. In: Proceeding of SPIE 2005. SPIE Press, San Jose (2005)Google Scholar