Skip to main content

Statistical Image Restoration and Refinement

  • Chapter

Summary

We consider the problem of reconstructing an image from a noisy record. We describe existing methods due to Geman and Geman (1984) and Besag (1986) which use a Markov random field model for the true scene but assume that each pixel consists of a single colour. In order to improve the quality of the restoration at the boundary of regions of different colours we extend these methods to allow pixels to contain two regions of colour separated by a single straight line. An algorithm for performing the reconstruction is presented and illustrated by an example.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-1-4615-7263-3_16
  • Chapter length: 8 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   59.99
Price excludes VAT (USA)
  • ISBN: 978-1-4615-7263-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   79.99
Price excludes VAT (USA)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Besag, J. E. (1974). Spatial interaction and the statistical analysis of lattice systems (with discussion). J. Royal Statist. Soc. B, 36, 192–236.

    MathSciNet  MATH  Google Scholar 

  • Besag, J. E. (1986). On the statistical analysis of dirty pictures (with discussion). J. Royal Statist. Soc. B, 48, 259–302.

    MathSciNet  MATH  Google Scholar 

  • Geman, S. and Geman, D. (1984). Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images. IEEE Trans. Pattern Anal. Machine Intell., 6, 721–741.

    CrossRef  MATH  Google Scholar 

  • Greig, D. M., Porteous, B.T. and Seheult, A.H. (1986). Contribution to Discussion of Besag (1986). J. Royal Statist. Soc. B, 48, 282–284.

    Google Scholar 

  • Jennison, C. (1986). Contribution to Discussion of Besag (1986). J. Royal Statist. Soc. B, 48, 288–289.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1988 Springer Science+Business Media New York

About this chapter

Cite this chapter

Jennison, C., Jubb, M. (1988). Statistical Image Restoration and Refinement. In: de Graaf, C.N., Viergever, M.A. (eds) Information Processing in Medical Imaging. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7263-3_16

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-7263-3_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-7265-7

  • Online ISBN: 978-1-4615-7263-3

  • eBook Packages: Springer Book Archive