Skip to main content

Non-rigid Morphological Image Registration

  • Conference paper
Bildverarbeitung für die Medizin 2003

Part of the book series: Informatik aktuell ((INFORMAT))

Abstract

A variational method to non rigid registration of multimodal image data is presented. A suitable deformation will be determined via the minimization of a morphological, i.e., contrast invariant, matching functional along with an appropriate regularization energy.

This work is supported by the Deutsche Forschungsgemeinschaft (DFG) — SPP 1114 Mathematical methods for time series analysis and digital image processing.

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 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 97.95
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. J. Ball, Global invertibility of Sobolev functions and the interpenetration of matter, Proc. Roy. Soc. Edinburgh, 88A (1988), pp. 315–328.

    Google Scholar 

  2. G. E. Christensen, R. D. Rabbitt, and M. I. Miller, Deformable templates using large deformation kinematics, IEEE Trans. Medical Imaging, 5, no. 10 (1996), pp. 1435–1447.

    Google Scholar 

  3. P. G. Ciarlet, Three-Dimensional Elasticity, Elsevier, New York, 1988.

    MATH  Google Scholar 

  4. U. Clarenz, M. Droske, and M. Rumpf, Towards fast non-rigid registration, in Inverse Problems, Image Analysis and Medical Imaging, AMS, 2001.

    Google Scholar 

  5. M. Droske and M. Rumpf, A variational approach to non-rigid morphological regi strati on, SIAM Appl. Math., (2003). submitted.

    Google Scholar 

  6. U. Grenander AND M. I. Miller, Computational anatomy: An emerging discipline, Quarterly Appl. Math., LVI, no. 4 (1998), pp. 617–694.

    MathSciNet  Google Scholar 

  7. S. Henn and K. Witsch, Iterative multigrid regularization techniques for image matching, SIAM J. Sci. Comput. (SISC), Vol. 23 no. 4 (2001), pp. 1077–1093.

    Article  MathSciNet  MATH  Google Scholar 

  8. J. Modersitzki and B. Fischer, Fast diffusion registration, Special Issue of Contemporary Mathematics, AMS, (2000).

    Google Scholar 

  9. G. Sapiro, Geometric Partial Differential Equations and Image Analysis, Cambridge University Press, 2001.

    Google Scholar 

  10. J. P. Thirion, Image matching as a diffusion process: An analogy with Maxwell’s demons, Med. Imag. Anal., 2 (1998), pp. 243–260.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Droske, M., Rumpf, M., Schaller, C. (2003). Non-rigid Morphological Image Registration. In: Wittenberg, T., Hastreiter, P., Hoppe, U., Handels, H., Horsch, A., Meinzer, HP. (eds) Bildverarbeitung für die Medizin 2003. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18993-7_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-18993-7_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00619-0

  • Online ISBN: 978-3-642-18993-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics