Real-time deformable models of non-linear tissues by model reduction techniques.
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.
Group of Structural Mechanics and Material Modelling (GEMM), Aragón Institute of Engineering Research (I3A), Betancourt Building, María de Luna 5, E-50018 Zaragoza, Spain.
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S
Niroomandi
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I
Alfaro
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E
Cueto
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F
Chinesta
D000465:Algorithms; D003198:Computer Simulation; D003199:Computer Systems; D003315:Cornea / Q000502:physiology*; D004548:Elasticity; D006801:Humans; D008954:Models, Biological; D017711:Nonlinear Dynamics; D010173:Palpation / Q000379:methods*; D013314:Stress, Mechanical