Skip to main content

Efficient Nonlinear FEM for Soft Tissue Modelling and Its GPU Implementation within the Open Source Framework SOFA

  • Conference paper
Biomedical Simulation (ISBMS 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5104))

Included in the following conference series:

Abstract

Accurate biomechanical modelling of soft tissue is a key aspect for achieving realistic surgical simulations. However, because medical simulation is a multi-disciplinary area, researchers do not always have sufficient resources to develop an efficient and physically rigorous model for organ deformation. We address this issue by implementing a CUDA-based nonlinear finite element model into the SOFA open source framework. The proposed model is an anisotropic visco-hyperelastic constitutive formulation implemented on a graphical processor unit (GPU). After presenting results on the model’s performance we illustrate the benefits of its integration within the SOFA framework on a simulation of cataract surgery.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Allard, J., Cotin, S., Faure, F., Bensoussan, P.J., Poyer, F., Duriez, C., Delingette, H., Grisoni, L.: Sofa - an open source framework for medical simulation. In: Medicine Meets Virtual Reality, pp. 13–18 (2007)

    Google Scholar 

  2. Cotin, S., Delingette, H., Ayache, N.: Real-time elastic deformations of soft tissues for surgery simulation. IEEE Transactions On Visualization and Computer Graphics 5 (1), 62–73 (1999)

    Article  Google Scholar 

  3. Wu, W., Heng, P.: An improved scheme of an interactive finite element model for 3D soft-tissue cutting and deformation. Computer Animation and Virtual Worlds 21 (8-10), 707–716 (2005)

    Google Scholar 

  4. Felippa, C.A.: A systematic approach to the element independent corotational dynamics of finite elements. Technical Report CU-CAS-00-03, Center for Aerospace Structures (2000)

    Google Scholar 

  5. Miller, K., Joldes, G., Lance, D., Wittek, A.: Total Lagrangian explicit dynamics finite element algorithm for computing soft tissue deformation. Communications in Numerical Methods in Engineering 23(2), 121–134 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  6. Taylor, Z., Cheng, M., Ourselin, S.: Real-time nonlinear finite element analysis for surgical simulation using graphics processing units, pp. 701–708 (2007)

    Google Scholar 

  7. Taylor, Z., Cheng, M., Ourselin, S.: High-speed nonlinear finite element analysis for surgical simulation using graphics processing units. IEEE Transactions on Medical Imaging 27(5), 650–663 (2008)

    Article  Google Scholar 

  8. NVIDIA Programming Guide 1.1, http://developer.nvidia.com/object/cuda.html

  9. Hughes, T.J.R.: The Finite Element Method: Linear Static and Dynamic Finite Element Analyses. Prentice-Hall, Inc., Englewood Cliffs (1987)

    Google Scholar 

  10. Flanagan, D.P., Belytschko, T.: A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. International Journal for Numerical Methods in Engineering 17, 679–706 (1981)

    Article  MATH  Google Scholar 

  11. Buzard, K.A., Hoeltzel, D.A.: Biomechanics of the cornea. In: Proceedings of SPIE, vol. 1423, pp. 70–81 (1991)

    Google Scholar 

  12. Zeng, Y., Yang, J., Huang, K., Lee, Z., Lee, X.: A comparison of biomechanical properties between human and porcine cornea. Journal of biomechanics (2001)

    Google Scholar 

  13. Kobayashi, A., Staberg, L., Schlegel, W.: Viscoelastic properties of human cornea. Journal of experimental mechanics (2006)

    Google Scholar 

  14. Elsheikh, A., Brown, M., Alhasso, D., Rama, P., Campanelli, M., Garway-Heath, D.: Experimental assessment of corneal anisotropy. Journal of refractive surgery (2008)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Fernando Bello P. J. Eddie Edwards

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Comas, O., Taylor, Z.A., Allard, J., Ourselin, S., Cotin, S., Passenger, J. (2008). Efficient Nonlinear FEM for Soft Tissue Modelling and Its GPU Implementation within the Open Source Framework SOFA. In: Bello, F., Edwards, P.J.E. (eds) Biomedical Simulation. ISBMS 2008. Lecture Notes in Computer Science, vol 5104. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70521-5_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-70521-5_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-70520-8

  • Online ISBN: 978-3-540-70521-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics