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Proceedings Paper

Face-based smoothed finite element method for real-time simulation of soft tissue
Author(s): Andrea Mendizabal; Rémi Bessard Duparc; Huu Phuoc Bui; Christoph J. Paulus; Igor Peterlik; Stéphane Cotin
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Paper Abstract

In soft tissue surgery, a tumor and other anatomical structures are usually located using the preoperative CT or MR images. However, due to the deformation of the concerned tissues, this information suffers from inaccuracy when employed directly during the surgery. In order to account for these deformations in the planning process, the use of a bio-mechanical model of the tissues is needed. Such models are often designed using the finite element method (FEM), which is, however, computationally expensive, in particular when a high accuracy of the simulation is required. In our work, we propose to use a smoothed finite element method (S-FEM) in the context of modeling of the soft tissue deformation. This numerical technique has been introduced recently to overcome the overly stiff behavior of the standard FEM and to improve the solution accuracy and the convergence rate in solid mechanics problems. In this paper, a face-based smoothed finite element method (FS-FEM) using 4-node tetrahedral elements is presented. We show that in some cases, the method allows for reducing the number of degrees of freedom, while preserving the accuracy of the discretization. The method is evaluated on a simulation of a cantilever beam loaded at the free end and on a simulation of a 3D cube under traction and compression forces. Further, it is applied to the simulation of the brain shift and of the kidney’s deformation. The results demonstrate that the method outperforms the standard FEM in a bending scenario and that has similar accuracy as the standard FEM in the simulations of the brain-shift and of the kidney’s deformation.

Paper Details

Date Published: 3 March 2017
PDF: 8 pages
Proc. SPIE 10135, Medical Imaging 2017: Image-Guided Procedures, Robotic Interventions, and Modeling, 101352H (3 March 2017); doi: 10.1117/12.2255064
Show Author Affiliations
Andrea Mendizabal, INRIA Nancy - Grand Est (France)
Rémi Bessard Duparc, INRIA Nancy - Grand Est (France)
Huu Phuoc Bui, ICube, CNRS, Univ. de Strasbourg (France)
Christoph J. Paulus, INRIA Nancy - Grand Est (France)
Igor Peterlik, INRIA Nancy - Grand Est (France)
Stéphane Cotin, INRIA Nancy - Grand Est (France)

Published in SPIE Proceedings Vol. 10135:
Medical Imaging 2017: Image-Guided Procedures, Robotic Interventions, and Modeling
Robert J. Webster III; Baowei Fei, Editor(s)

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