title: Real-time simulation of surgery by reduced-order modeling and X-FEM techniques.
abstract: This paper describes a novel approach for the simulation of surgery by a combined technique of model order reduction and extended finite element method (X-FEM) methods. Whereas model order reduction techniques employ globally supported (Ritz) shape functions, a combination with X-FEM methods on a locally superimposed patch is developed for cutting simulation without remeshing. This enables to obtain models with very few degrees of freedom that run under real-time constrains even for highly non-linear tissue constitutive equations. To show the performance of the technique, we studied an application to refractive surgery in the cornea.
authors.affiliation: Aragon Institute of Engineering Research, Universidad de Zaragoza, Zaragoza, Spain.
authors.forename: S
authors.initials: S
authors.lastname: Niroomandi
authors.forename: I
authors.initials: I
authors.lastname: Alfaro
authors.forename: D
authors.initials: D
authors.lastname: González
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; D003315:Cornea / Q000601:surgery; D020342:Finite Element Analysis; D006801:Humans; D008962:Models, Theoretical; D016059:Range of Motion, Articular; D054140:Refractive Surgical Procedures; D013514:Surgical Procedures, Operative / Q000193:education*
keywords: X-FEM; model order reduction; real time; surgery