title: Real-time simulation of biological soft tissues: a PGD approach.
abstract: We introduce here a novel approach for the numerical simulation of nonlinear, hyperelastic soft tissues at kilohertz feedback rates necessary for haptic rendering. This approach is based upon the use of proper generalized decomposition techniques, a generalization of PODs. Proper generalized decomposition techniques can be considered as a means of a priori model order reduction and provides a physics-based meta-model without the need for prior computer experiments. The suggested strategy is thus composed of an offline phase, in which a general meta-model is computed, and an online evaluation phase in which the results are obtained at real time. Results are provided that show the potential of the proposed technique, together with some benchmark test that shows the accuracy of the method.
authors.affiliation: Aragon Institute of Engineering Research, Universidad de Zaragoza, Zaragoza, Spain.
authors.forename: S
authors.initials: S
authors.lastname: Niroomandi
authors.forename: D
authors.initials: D
authors.lastname: González
authors.forename: I
authors.initials: I
authors.lastname: Alfaro
authors.forename: F
authors.initials: F
authors.lastname: Bordeu
authors.forename: A
authors.initials: A
authors.lastname: Leygue
authors.forename: E
authors.initials: E
authors.lastname: Cueto
authors.forename: F
authors.initials: F
authors.lastname: Chinesta
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D020342:Finite Element Analysis; D006801:Humans; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D008099:Liver / Q000033:anatomy & histology / Q000502:physiology; D008954:Models, Biological; D011312:Pressure; D013514:Surgical Procedures, Operative / Q000193:education; D013997:Time Factors