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On the Application of Model Reduction Techniques to Real-Time Simulation of Non-linear tissues

  • Siamak Niroomandi
  • Icíar Alfaro
  • Elías Cueto
  • Francisco Chinesta
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5104)

Abstract

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.

Keywords

Proper Orthogonal Decomposition Reduce Order Modelling Haptic Feedback Haptic Device Deformable Model 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Siamak Niroomandi
    • 1
  • Icíar Alfaro
    • 1
  • Elías Cueto
    • 1
  • Francisco Chinesta
    • 2
  1. 1.Group of Structural Mechanics and Material Modelling. Aragón Institute of Engineering ResearchI3A. Universidad de ZaragozaZaragozaSpain
  2. 2.Laboratoire de Mecanique des Systemes et des Procedes.UMR 8106 CNRS-ENSAM-ESEM.ParisFrance

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