On the Application of Model Reduction Techniques to Real Time Simulation of Non-Linear Tissues

Abstract : In this paper we introduce a new technique for the real-time simulation of non-linear tissue behavior based on a model reduction technique known as Proper Orthogonal (POD) or Karhunen-Loève Decompositions. The technique is based upon the construction of a complete model (using Finite Element modelling or other numerical technique, for instance, but possibly from experimental data) and the extraction and storage of the relevant information in order to construct a model with very few degrees of freedom, but that takes into account the highly non-linear response of most living tissues. We present its application to the simulation of palpation a human cornea and study the limitations and future needs of the proposed technique.
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Siamak Niroomandi, Icíar Alfaro, Elías Cueto, Francisco Chinesta. On the Application of Model Reduction Techniques to Real Time Simulation of Non-Linear Tissues. Biomedical Simulation 4th International Symposium, ISBMS 2008, London, UK, July 7-8, 2008 Proceedings , Springer, 2010, ⟨10.1007/978-3-540-70521-5_2⟩. ⟨hal-01007526⟩

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