Reference : Real-time Error Control for Surgical Simulation
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
Real-time Error Control for Surgical Simulation
Phuoc Bui, Huu []
Tomar, Satyendra []
Courtecuisse, Hadrien []
Cotin, Stéphane []
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
IEEE Transactions on Biomedical Engineering
Yes (verified by ORBilu)
New York
[en] Finite element method ; real-time error estimate ; adaptive refinement ; constraint-based interaction
[en] To present the first real-time a posteriori error-driven adaptive finite element approach for realtime simulation and to demonstrate the method on a needle insertion problem. Methods: We use corotational elasticity and a frictional needle/tissue interaction model. The problem is solved using finite elements within SOFA. The refinement strategy relies upon a hexahedron-based finite element method, combined with a posteriori error estimation driven local h-refinement, for simulating soft tissue deformation. Results: We control the local and global error level in the mechanical fields (e.g. displacement or stresses) during the simulation. We show the convergence of the algorithm on academic examples, and demonstrate its practical usability on a percutaneous procedure involving needle insertion in a liver. For the latter case, we compare the force displacement curves obtained from the proposed adaptive algorithm with that obtained from a uniform refinement approach. Conclusions: Error control guarantees that a tolerable error level is not exceeded during the simulations. Local mesh refinement accelerates simulations. Significance: Our work provides a first step to discriminate between discretization error and modeling error by providing a robust quantification of discretization error during simulations.
University of Strasbourg Institute for Advanced Study (BPC 14/Arc 10138) ; European project RASimAs (FP7 ICT-2013.5.2 No610425)
FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery

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