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

Siamak Niroomandi (1) , Iciar Alfaro (1) , Elías Cueto (1) , Francisco Chinesta (2)

1 I3A - Aragón Institute of Engineering Research [Zaragoza]
2 LMSP - Laboratoire de Mécanique des Systèmes et des Procédés

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 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.

Mots clés: Deformable models; Non-linear behavior; Model reduction; Proper orthogonal decomposition

Domaines: Biomécanique [physics.med-ph]; Ingénierie biomédicale

Siamak Niroomandi, Iciar Alfaro, Elías Cueto, Francisco Chinesta. Real-time deformable models of non-linear tissues by model reduction techniques. Computer Methods and Programs in Biomedicine, 2008, 91 (3), pp.223-231. ⟨10.1016/j.cmpb.2008.04.008⟩. ⟨hal-01007233⟩