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Real-time error control for surgical simulation

Bui, Huu Phuoc, Tomar, Satyendra, Courtecuisse, Hadrien, Cotin, Stephane and Bordas, Stephane 2018. Real-time error control for surgical simulation. IEEE Transactions on Biomedical Engineering 65 (3) , pp. 596-607. 10.1109/TBME.2017.2695587

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Abstract

Objective: 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 SOFA1. 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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: Institute of Electrical and Electronic Engineers
ISSN: 0018-9294
Funders: European Research Council
Date of First Compliant Deposit: 26 May 2017
Date of Acceptance: 12 April 2017
Last Modified: 01 May 2019 17:04
URI: http://orca.cf.ac.uk/id/eprint/100908

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