Skip to main content

A new algorithm for probabilistic relaxation based on the Baum Eagon theorem

  • Posters
  • Conference paper
  • First Online:
Computer Analysis of Images and Patterns (CAIP 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 970))

Included in the following conference series:

Abstract

The update equations for Kittler Hancock probabilistic relaxation are solved exactly for a model problem. The solution reveals deficiencies of the support function. We formulate a new form of probabilistic relaxation heuristically based on the Baum Eagon theorem. The new algorithm gives the MAP labelling for the model problem.

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. R. A. Hummel, S. W. Zucker, On the foundations of Relaxation Labeling Processes, IEEE Pattern Analysis and Machine Intelligence 5(3), 267–287, (1983).

    Google Scholar 

  2. J. Kittler, E. R. Hancock, Combining evidence in probabilistic relaxtion, Int. J. of Pattern Recognition and Artificial Intelligence 3(1), 25–51, (1989).

    Google Scholar 

  3. J. Kittler, J. Foglein, On compatibility and support functions in probabilistic relaxation, Computer Vision, Graphics and Image Processing, 34, 257–267, (1986).

    Google Scholar 

  4. R. Szelski, Bayesian modeling of uncertainty in low-level vision, Kluwer, (1989).

    Google Scholar 

  5. L. E. Baum, J. A. Eagon, An inequality with applications to statistical estimation ..., Bulletin of the American Mathematical Society, 73 360–363 (1967).

    Google Scholar 

  6. M. Pelillo, On the dynamics of relaxation labelling processes, ICNN (1994).

    Google Scholar 

  7. An extended version of this paper can be found at ftp.ee.surrey.ac.uk in directory /pub/vision/papers.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Václav Hlaváč Radim Šára

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Stoddart, A.J., Petrou, M., Kittler, J. (1995). A new algorithm for probabilistic relaxation based on the Baum Eagon theorem. In: Hlaváč, V., Šára, R. (eds) Computer Analysis of Images and Patterns. CAIP 1995. Lecture Notes in Computer Science, vol 970. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60268-2_363

Download citation

  • DOI: https://doi.org/10.1007/3-540-60268-2_363

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60268-2

  • Online ISBN: 978-3-540-44781-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics