3D Algorithm for Simulation of Soft Tissue Cutting
Modelling and simulation of soft tissue cutting in 3D remain one of the most challenging problems in surgery simulation, not only because of the nonlinear geometric and material behaviour exhibited by soft tissue but also due to the complexity of introduc
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Abstract Modelling and simulation of soft tissue cutting in 3D remain one of the most challenging problems in surgery simulation, not only because of the nonlinear geometric and material behaviour exhibited by soft tissue but also due to the complexity of introducing the cutting-induced discontinuity. In most publications, the progressive surgical cutting is modelled by conventional finite element (FE) method, in which the high computational cost and error accumulation due to re-meshing constrain the computational efficiency and accuracy. In this paper, a meshless Total Lagrangian Adaptive Dynamic Relaxation (MTLADR) 3D cutting algorithm is proposed to predict the steady-state responses of soft tissue at any stage of surgical cutting in 3D. The MTLADR 3D algorithm features a spatial discretisation using a cloud of nodes. With the benefits of no meshing and no re-meshing, the cutting-induced discontinuity is modelled and simulated by adding nodes on the cutting faces and implementing the visibility criterion with the aid of the level set method. The accuracy of the MTLADR 3D cutting algorithm is verified against the established nonlinear solution procedures available in commercial FE software Abaqus.
X. Jin • G.R. Joldes • A. Wittek Intelligent Systems for Medicine Laboratory, The University of Western Australia, Perth, Australia e-mail: [email protected]; [email protected]; [email protected] K. Miller () Intelligent Systems for Medicine Laboratory, The University of Western Australia, Perth, Australia Institute of Mechanics and Advanced Materials, Cardiff School of Engineering, Cardiff University, Wales, UK e-mail: [email protected] A. Wittek et al. (eds.), Computational Biomechanics for Medicine: Models, Algorithms and Implementation, DOI 10.1007/978-1-4614-6351-1 6, © Springer Science+Business Media New York 2013
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1 Introduction Surgery simulation has great significance in extending surgeons’ ability to learn, plan and carry out surgical interventions more accurately and less invasively. Potential applications include surgical simulators for highly realistic surgical training and planning, non-rigid registration in image-guided surgery systems and computer-aided design of medical devices and procedures. Modelling and simulation of soft tissue cutting remain one of the most challenging problems in surgery simulation. The challenges exist in the complexity of introducing cutting-induced discontinuity and the capability of handling the nonlinear geometric and material behaviour of soft tissue [1–3] while reducing the high computational cost of 3D simulation. So far, the progressive surgical cutting has been modelled and simulated by subdivision of elements of the volumetric mesh using conventional finite element (FE) method [4–7]. Even when using sophisticated re-meshing technologies, the FE method tends to become unstable and its accuracy deteriorates when the mesh undergoes distortion and fragmentation due to large deformations and cutting [8]. Despite the exploration of
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