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Multiplicative Jacobian energy decomposition method for fast porous visco-hyperelastic soft tissue model

Abstract : Simulating soft tissues in real time is a signi cant challenge since a compromise between biomechanical accuracy and computational efficiency must be found. In this paper, we propose a new discretization method, the Multiplicative Jacobian Energy Decomposition (MJED) which is an alternative to the classical Galerkin FEM (Finite Element Method) formulation. This method for discretizing non-linear hyperelastic materials on linear tetrahedral meshes leads to faster sti ffness matrix assembly for a large variety of isotropic and anisotropic materials. We show that our new approach, implemented within an implicit time integration scheme, can lead to fast and realistic liver deformations including hyperelasticity, porosity and viscosity.
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Stéphanie Marchesseau, T. Heimann, S. Chatelin, R. Willinger, Hervé Delingette. Multiplicative Jacobian energy decomposition method for fast porous visco-hyperelastic soft tissue model. MICCAI'10 - Medical Image Computing and Computer Assisted Intervention, 2010, Beijing, China. pp.235-242, ⟨10.1007/978-3-642-15705-9_29⟩. ⟨hal-00593207⟩

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