Skip to main content

Image registration: Convex weighting functions for histogram-based similarity measures

  • Analysis of Cardiac and Vascular Images
  • Conference paper
  • First Online:
CVRMed-MRCAS'97 (CVRMed 1997, MRCAS 1997)

Abstract

Recently the entropy-similarity measure has been introduced for the registration of image pairs prior to subtraction in medical imaging e.g. digital subtraction angiography (DSA). The registration is based on motion-vector fields estimated with a template-matching techniques. The entropy is calculated via weighted grey-value histograms of the difference-image template and measures the degree of histogram dispersion in case of misregistration. In this paper, a generalization of the underlying concept is presented. We prove that any strictly convex function can be used as histogram-weighting function leading to a suitable similarity measure. The quality of the histogram-based measures is compared to other frequently used similarity measures. As a result the energy-similarity measure turns out to be the most suitable measure for template matching. The success of the registration will be demonstrated with a geometrically distorted pair of images taken of the abdomen.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. T. M. Buzug and J. Weese, Improving DSA images with an automatic algorithm based on template matching and an entropy measure, Proc. of the CAR'96, H. U. Lemke, M. W. Vannier, K. Inamura and A. G. Farman (Eds.), (Elsevier, Amsterdam, 1996) p. 145.

    Google Scholar 

  2. T. M. Buzug, J. Weese, C. Fassnacht and C. Lorenz, Using an entropy similarity measure to enhance the quality of DSA images with an algorithm based on template matching, in: Proc. of the 4th Int. Conf. on VBC'96, Lecture Notes in Computer Science 1131 (Springer, Berlin, 1996) p. 235.

    Google Scholar 

  3. T. M. Buzug and J. Weese, Similarity measures for subtraction methods in medical imaging, in: Proc. of the 18th Ann. Int. Conf. of the IEEE EMBS'96 (Amsterdam, 1996) p. 140.

    Google Scholar 

  4. H. Haken, Synergetics, (Springer, Berlin, 1983).

    Google Scholar 

  5. C. E. Shannon, A mathematical theory of communication, Bell Sys. Tech. Journal XXVII (1948) 379.

    Google Scholar 

  6. P. Kosmol, Optimierung und Approximation (de Gruyter, Berlin, 1991).

    Google Scholar 

  7. R. Yoshida, T. Miyazawa and A. Doi and T. Otsuki, Clinical Planning Support System — CliPSS, IEEE Computer Graphics and Applications (1993) 76.

    Google Scholar 

  8. W. K. Pratt, Correlation techniques of image registration, IEEE Trans. on AES, AES-10 (1974) 353.

    Google Scholar 

  9. A. Rosenfeld and A. Kak, Digital picture processing, 2nd ed. (Academic Press, New York, 1982).

    Google Scholar 

  10. J. M. Fitzpatrick, D. R. Pickens, H. Chang, Y. Ge and M. Özkan, Geometrical transformations of density images, SPIE 1137 (1989) 12.

    Google Scholar 

  11. E. O. Schulz-DuBois and I. Rehberg, Structure function in lieu of correlation function, Appl. Phys. 24 (1981) 323.

    Article  Google Scholar 

  12. A. Venot and V. Leclerc, Automated correction of patient motion and gray values prior to subtraction in digitized angiography, IEEE Trans. on Med. Im. 4 (1984) 179.

    Google Scholar 

  13. K. J. Zuiderveld, B. M. ter Haar Romeny and Max. A. Viergever, Fast rubber sheet masking for digital subtraction angiography, SPIE 1137 Science and Engineering of Medical Imaging (1989) 22.

    Google Scholar 

  14. A. Collignon, D. Vandermeulen, P. Suetens and G. Marchal, 3D multimodality medical image registration using feature space clustering, Proc. of the 1st Int. Conf. CVRMed'95, N. Ayache (ed.), Lecture Notes in Computer Science 905 (Springer, Berlin, 1995) p. 195.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Jocelyne Troccaz Eric Grimson Ralph Mösges

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Buzug, T.M., Weese, J., Fassnacht, C., Lorenz, C. (1997). Image registration: Convex weighting functions for histogram-based similarity measures. In: Troccaz, J., Grimson, E., Mösges, R. (eds) CVRMed-MRCAS'97. CVRMed MRCAS 1997 1997. Lecture Notes in Computer Science, vol 1205. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0029239

Download citation

  • DOI: https://doi.org/10.1007/BFb0029239

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62734-0

  • Online ISBN: 978-3-540-68499-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics