Skip to main content

A Step Towards Efficient Bayesian Signal Reconstruction

  • Conference paper
BMVC92
  • 183 Accesses

Abstract

This paper presents a theoretical basis for a set of optimal filters for the reconstruction of piecewise-continuous one-dimensional signals, drawing from Bayesian networks and Kaiman filters. Results are presented for synthetic and real data, using both the optimal filters and a sub-optimal implementation. The results compare well with linear space invariant filtering or facet fitting approaches, and present a basis for the design of image restoration algorithms.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Judea Pearl. Probabilistic Reasoning in Intelligent Systems. Morgan Kaufmann Publishers, Inc., 1988.

    Google Scholar 

  2. Y. Bar-Shalom and T.E. Fortmann. Tracking and Data Association. Academic Press, 1988.

    MATH  Google Scholar 

  3. Arthur Gelb. Applied Optimal Estimation. MIT Press, 1974.

    Google Scholar 

  4. T. Bayes. An essay towards solving a problem in the doctrine of chances. Phil. Trans. ,3:370–418, 1763.

    Article  Google Scholar 

  5. J. W. Dickson. Image Structure and Model-Based Vision. PhD thesis, Oxford University, Department of Engineering Science, 1990.

    Google Scholar 

  6. Paul B. Chou and Christopher M. Brown. The Theory and Practice of Bayesian Image Labeling, September 1988.

    Google Scholar 

  7. M.J. Swain and L.E. Wixson. Efficient estimation for Markov random fields. In Image Understanding and Machine Vision ,1989.

    Google Scholar 

  8. B.F. Buxton, H. Buxton, and A. Kashko. Optimization, Regularization and Simulated Annealing in Low-Level Computer Vision. In Ian Page, editor, Parallel Architectures and Computer Vision Workshop. OUP, 1987.

    Google Scholar 

  9. S Geeman and D. Geeman. Stochastic relaxation, Gibbs distribution and the Bayesian restoration of images. IEEE Trans. Pattern Analysis Machine Intell. ,6:721–741, 1984.

    Article  Google Scholar 

  10. J.F. Silverman and D.B. Cooper. Bayesian Clustering for Unsupervised Estimation of Surface and Texture Models. IEEE Trans. Pattern Analysis Machine Intell ,10(4), July 1988.

    Google Scholar 

  11. J.F. Canny. Finding Edges and Lines. Technical Report 720, Massachusetts Inst. Technol., 1983.

    Google Scholar 

  12. A. Papoulis. Probability, Random Variables, and Stochastic Processes. McGraw-Hill, 1984.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag London Limited

About this paper

Cite this paper

Dickson, J.W. (1992). A Step Towards Efficient Bayesian Signal Reconstruction. In: Hogg, D., Boyle, R. (eds) BMVC92. Springer, London. https://doi.org/10.1007/978-1-4471-3201-1_20

Download citation

  • DOI: https://doi.org/10.1007/978-1-4471-3201-1_20

  • Publisher Name: Springer, London

  • Print ISBN: 978-3-540-19777-5

  • Online ISBN: 978-1-4471-3201-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics