Variational Image Registration Allowing for Discontinuities in the Displacement Field

  • Sven Kabus
  • Bernd Fischer
  • Astrid Franz
Part of the Mathematics and Visualization book series (MATHVISUAL)


Weighting Function Reference Image Image Registration Template Image Local Truncation Error 
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.
    R. Bajcsy and S. Kovacic. Multiresolution elastic matching. Comput. Vis. Graph. Image Process., 46(1):1–21, 1989.CrossRefGoogle Scholar
  2. 2.
    U. Clarenz, M. Droske, S. Henn, M. Rumpf, and K. Witsch. Computational methods for nonlinear image registration. 2005. to appear.Google Scholar
  3. 3.
    C. Davatzikos. Nonlinear registration of brain images using deformable models. In Proc. of the IEEE Workshop on Math. Methods in Biomedical Image Analysis, pages 94-103, 1996.Google Scholar
  4. 4.
    P.J. Edwards, D.L.G. Hill, J.A. Little, and D.J. Hawkes. A three-component deformation model for image-guided surgery. Med. Image Anal., 2(4):355–367, 1998.CrossRefGoogle Scholar
  5. 5.
    M. Ferrant, A. Nabavi, F.A. Jolesz, R. Kikinis, and S.K. Warfield. Registration of 3d intraoperative mr images of the brain using a finite element biomechanical model. IEEE Trans. Med. Imag., 20(12):1384–1397, 2001.CrossRefGoogle Scholar
  6. 6.
    B. Fischer and J. Modersitzki. Fast inversion of matrices arising in image processing. Numer. Algorithm., 22:1–11, 1999.CrossRefMathSciNetGoogle Scholar
  7. 7.
    A. Hagemann. A Biomechanical Model of the Human Head with Variable Material Properties for Intraoperative Image Correction. Logos, Berlin, 2001.Google Scholar
  8. 8.
    S. Kabus, T. Netsch, B. Fischer, and J. Modersitzki. B-spline registration of 3D images with Levenberg-Marquardt optimization. In Proc. of SPIE 2004, volume 5370, pages 304-313, 2004.Google Scholar
  9. 9.
    J. Modersitzki. Numerical methods for image registration. Oxford University Press, 2004.Google Scholar
  10. 10.
    J. Rexilius, H. Handels, A. Nabavi, R. Kikinis, and S.K. Warfield. Automatic nonrigid registration for tracking brain shift during neurosurgery. In Proc. of BVM 2002, pages 135-138, 2002.Google Scholar
  11. 11.
    G.K. Rohde, A. Aldroubi, and B.M. Dawant. The adaptive bases algorithm for intensity-based nonrigid image registration. IEEE Trans. Med, Imag., 22 (11):1470–1479, 2003.CrossRefGoogle Scholar
  12. 12.
    G. Soza, P. Hastreiter, F. Vega, C. Rezk-Salama, M. Bauer, C. Nimsky, and G. Greiner. Non-linear intraoperative correction of brain shift with 1.5 T data. In Proc. of BVM 2003, pages 21-25, 2003.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Sven Kabus
    • 1
  • Bernd Fischer
    • 2
  • Astrid Franz
    • 3
  1. 1.Institute of MathematicsUniversity of LübeckLübeckGermany
  2. 2.Institute of MathematicsUniversity of LübeckLübeckGermany
  3. 3.Philips Research LaboratoriesHamburgGermany

Personalised recommendations