Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2005 · 10 citations · 8 references
EngineeringComputational EngineeringSurgeryComputational MechanicsFinite Element AnalysisFinite Element MethodsComputational BiomechanicsComputational Solid MechanicsFinite Element DiscretizationFinite Element FormulationSolid Mechanics ApplicationsAccuracyComputer-aided Surgical SimulationFinite Element ModelingFinite Element SimulationGlobal Stiffness MatrixSoft Tissue AnalysisStiffness Matrix FormulationSurgical Simulation
Pre-computed finite element methods are valuable because of their extreme speed and high accuracy for soft tissue modeling, but they are not suitable for surgical incision simulation. In this paper we present an adaptive algorithm for finite element computation based on a preprocessing approach. It inverts the global stiffness matrix in a pre-computing stage and then simulates each cutting step by updating two lists of basic components iteratively with some localization techniques. This method allows a fast and physically accurate simulation of incision procedures.
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Updating the Inverse of a Matrix
William W. Hager · SIAM Review · 1989 · 1.1K citations
Finite element modeling in surgery simulation
Morten Bro‐Nielsen · Proceedings of the IEEE · 1998 · 397 citations