Non-linear Registration with the Variable Viscosity Fluid Algorithm

  • Hava Lester
  • Simon R. Arridge
  • Kalvis M. Jansons
  • Louis Lemieux
  • Joseph V. Hajnal
  • Anjela Oatridge
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1613)


In this paper we classify inhomogeneous non-linear registration algorithms into those of variable data influence, of variable deformability and of variable model type. As examples we introduce three modifications of the viscous fluid registration algorithm: passing a filter over the computed force field, adding boundary conditions onto the velocity field, and re-writing the viscous fluid PDE to accommodate a spatially-varying viscosity field. We demonstrate their application on artificial test data, on pre-/post-operative MR head slices and on MR neck volumes.


Registration Algorithm Magnetic Resonance Elastography Elastic Registration Scalp Region High Order Deformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Hava, L. and Arridge, S.R.: A survey of hierarchical non-linear medical image registration. Pattern Recognition, 32(1):129–149, January 1999.CrossRefGoogle Scholar
  2. 2.
    Gee, J.C., Le Briquer, L., Barrilot, C., Haynor, D.R. and Bajcsy, R.: Bayesian approach to the brain image matching problem. In SPIE Medical Imaging 1995, San Diego, 1995.Google Scholar
  3. 3.
    Manduca, A., Muthupillai, R., Rossman, P.J., Greenleaf, J.F., and Ehman, R.L. Visualization of tissue elasticity by magnetic resonance elastography. In Karl Heinz Hohne and Ron Kikinis, editors, Visualization in Biomedical Computing. Springer, 1996.Google Scholar
  4. 4.
    Davatzikos, C.: Spatial transformation and registration of brain images using elastically deformable models. Computer Vision and Image Understanding, 66(2):207–222, May 1997.CrossRefGoogle Scholar
  5. 5.
    Edwards, P.J., Hill, D.L.G., and Hawkes, D.J.: Image guided interventions using a three component tissue deformation model. In Medical Image Understanding and Analysis, Oxford, UK, July 1997.Google Scholar
  6. 6.
    Little, J.A., Hill, D.L.G., and Hawkes, D.J.: Deformations incorporating rigid structures. Computer Vision and Image Understanding, 66(2):223–232, May 1997.CrossRefGoogle Scholar
  7. 7.
    Bookstein, F.L.: Principal warps: Thin-plate splines and the decomposition of deformations. IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(6):567–585, June 1989.zbMATHCrossRefGoogle Scholar
  8. 8.
    Christensen, G.E., Rabbitt, R.D., Miller, M.I., Joshi, S.C., Grenander, U., Coogan, T.A., and van Essen, D.C.: Topological properties of smooth anatomic maps. In Y Bizais et al., editors, Information Processing in Medical Imaging, pages 101–112. Kluwer Academic Publishers, 1995.Google Scholar
  9. 9.
    Danielsson, P.-E.: Euclidean distance mapping. Computer Graphics and Image Processing, 14:227–248, 1980.CrossRefGoogle Scholar
  10. 10.
    Bro-Nielsen, M. and Gramkow, C.: Fast fluid registration of medical images. In SPIE Medical Imaging, pages 267–276, 1996.Google Scholar
  11. 11.
    Strikwerda, J.C.: Finite Difference Schemes and Partial Differential Equations, chapter 13: Linear Iterative Methods. Wadsworth and Brooks, 1989.Google Scholar
  12. 12.
    Lester, H., Arridge, S.R., and Jansons, K.M.: Local deformation metrics and non-linear registration using a fluid model with variable viscosity. In Proceedings of Medical Image Understanding and Analysis (MIUA98), Leeds, UK, July 1998.Google Scholar
  13. 13.
    McMinn, R.H.M, Hutchings, R.T., and Logan, B.M.: Color Atlas of Head and Neck Anatomy. Mosby-Wolfe, London, 2nd edition, 1994.Google Scholar
  14. 14.
    Schormann, T., Henn, S., and Zilles, K.: A new approach to fast elastic alignment with applications to human brains. In Lecture Notes in Computer Science, volume 1131, pages 337–342. Springer-Verlag, 1996.Google Scholar
  15. 15.
    Press, W.H., Teukolsky, S.A., Vetterling, W.T., and Flannery, B.P.: Numerical Recipes in C. Cambridge University Press, 2nd edition, 1995.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Hava Lester
    • 1
  • Simon R. Arridge
    • 1
  • Kalvis M. Jansons
    • 2
  • Louis Lemieux
    • 3
  • Joseph V. Hajnal
    • 4
  • Anjela Oatridge
    • 4
  1. 1.Dept Computer ScienceUniversity College LondonLondonUK
  2. 2.Dept MathematicsUniversity College LondonLondonUK
  3. 3.Institute of NeurologyLondonUK
  4. 4.The MRC Cyclotron UnitHammersmith HospitalLondonUK

Personalised recommendations