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Real-Time Simulation for Virtual Surgery in a PGD Framework

[+] Author Affiliations
Siamak Niroomandi, Iciar Alfaro, David Gonzalez, Elias Cueto

Universidad de Zaragoza, Zaragoza, Spain

Felipe Bordeu, Francisco Chinesta

Ecole Centrale de Nantes, Nantes, France

Adrien Leygue

Ecole Centrale Nantes, Nantes, France

Paper No. ESDA2012-82541, pp. 247-251; 5 pages
doi:10.1115/ESDA2012-82541
From:
  • ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis
  • Volume 1: Advanced Computational Mechanics; Advanced Simulation-Based Engineering Sciences; Virtual and Augmented Reality; Applied Solid Mechanics and Material Processing; Dynamical Systems and Control
  • Nantes, France, July 2–4, 2012
  • Conference Sponsors: International
  • ISBN: 978-0-7918-4484-7
  • Copyright © 2012 by ASME

abstract

We analyze here the use of proper generalized decompositions (PGD) for real-time simulation of living soft tissues in virtual surgery environments. These tissues are usually modeled as hyperelastic solids, and therefore present important difficulties for their simulation under real-time constraints (i.e., feedback rates on the order of1 kHz).

PGD techniques provide with physics-based meta-models without any prior computer experiment, that can be used on-line for the simulation under such severe constraints. These metemodels are constructed on the assumption of the problem to be multi-dimensional, with parameters as additional space dimensions. These parameters, in this case, are taken as the position of contact of surgical tool and organ, modulus of the contact force and orientation (a 9D problem). PGD techniques allow to solve efficiently these high-dimensional problems without the burden associated to the application of mesh-based techniques to these problems.

Copyright © 2012 by ASME
Topics: Simulation , Surgery

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