On the Application of Model Reduction Techniques to Real-Time Simulation of Non-linear tissues

Authors:
Siamak Niroomandi;Icíar Alfaro;Elías Cueto;Francisco Chinesta
Affiliations:
Group of Structural Mechanics and Material Modelling. Aragón Institute of Engineering Research, I3A. Universidad de Zaragoza, Zaragoza, Spain E-50012;Group of Structural Mechanics and Material Modelling. Aragón Institute of Engineering Research, I3A. Universidad de Zaragoza, Zaragoza, Spain E-50012;Group of Structural Mechanics and Material Modelling. Aragón Institute of Engineering Research, I3A. Universidad de Zaragoza, Zaragoza, Spain E-50012;Laboratoire de Mecanique des Systemes et des Procedes., UMR 8106 CNRS-ENSAM-ESEM., Paris, France 75015
Venue:
ISBMS '08 Proceedings of the 4th international symposium on Biomedical Simulation
Year:
2008

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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.