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.
Niroomandi
S
S
Group of Structural Mechanics and Material Modelling (GEMM), Aragón Institute of Engineering Research (I3A), Betancourt Building, María de Luna 5, E-50018 Zaragoza, Spain.
Alfaro
I
I
Cueto
E
E
Chinesta
F
F
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