Real-time deformable models of non-linear tissues by model reduction techniques

Authors:
S. Niroomandi;I. Alfaro;E. Cueto;F. Chinesta
Affiliations:
Group of Structural Mechanics and Material Modelling (GEMM), Aragón Institute of Engineering Research (I3A), Betancourt Building, María de Luna 5, E-50018 Zaragoza, Spain;Group of Structural Mechanics and Material Modelling (GEMM), Aragón Institute of Engineering Research (I3A), Betancourt Building, María de Luna 5, E-50018 Zaragoza, Spain;Group of Structural Mechanics and Material Modelling (GEMM), Aragón Institute of Engineering Research (I3A), Betancourt Building, María de Luna 5, E-50018 Zaragoza, Spain;LMSP UMR 8106 CNRS ENSAM-ESEM, 151 Bvd. de l'Hôpital, F-75013 Paris, France
Venue:
Computer Methods and Programs in Biomedicine
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-Loeve 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.