Skip to main content

Non-uniform Resolution Recovery Using Median Priors in Tomographic Image Reconstruction Methods

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4673))

Abstract

Penalized-Likelihood (PL) image reconstruction methods produce better quality images than analytical methods. However, these methods produce images with non-uniform resolution properties. A number of prior functions have been used to recover for this reconstructed resolution non-uniformity. Quadratic Priors (QPs) are preferred due to their simplicity and their resolution characteristics have been studied extensively. Images reconstructed using QPs still exhibit non-uniform resolution properties.Here, we propose median priors (MPs) in place of QPs and evaluate their resolution characteristics.Although, they produce images with non-uniform reconstructed resolution, their recovered resolution is better than the QPs.We have also implemented MPs in a modified penalty frame work, proposed for QPs, and have shown that they produce images with almost uniform resolution. Due to their automatic edge preservation and better quantitative properties, MPs might be preferred over QPs for penalize-likelihood image reconstruction.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Stayman, W.J., Fessler, J.A.: Compensation for non-uniform resolution using penalized-likelihood reconstruction in space-variant imaging systems. IEEE Trans. Med. Imag. 3, 269–280 (2004)

    Article  Google Scholar 

  2. Snyder, D.L., Miller, M.I., Thomas, L.J., Politte, D.G.: Noise and edge artifacts in maximum-likelihood reconstructions for emission tomography. IEEE Trans. Med. Imag. 6, 228–238 (1987)

    Article  Google Scholar 

  3. Alenius, S., Ruotsalainen, U., Astola, J.: Generalization of median root prior reconstruction. IEEE Trans. Med. Imag. 11, 1413–1420 (2002)

    Article  Google Scholar 

  4. Karuta, B., Lecomte, R.: Effect of detector weighting functions on the point spread function of high-resolution PET tomographs. IEEE Trans. Med. Imag. 11, 379–385 (1992)

    Article  Google Scholar 

  5. Muncuoglu, E.U., Richard M.L., Simon R.C., Hoffman E.: Accurate geometric and physical response modeling for statistical image reconstruction in high resolution PET. IEEE Trans. Med. Imag., pp. 1569–1573 (1997)

    Google Scholar 

  6. Veklerov, E., Llacer, J.: Stopping rule for the MLE algorithm based on statistical hypothesis testing. IEEE Trans. Med. Imag. 6, 313–319 (1987)

    Article  Google Scholar 

  7. Hebert, T.J.: Statistical stopping criteria for iterative maximum likelihood reconstruction of emission images. Phys. Med. Biol. 35, 1221–1232 (1990)

    Article  Google Scholar 

  8. Snyder, D.L., Miller, M.I.: The use of sieves to stabilize images produced with the EM algorithm for emission tomography. IEEE Trans. Nucl. Sci. 32, 3864–3871 (1985)

    Article  Google Scholar 

  9. Fessler, J.A., Rogers, W.L.: Spatial resolution properties of penalized-likelihood image reconstruction methods: Space-invariant tomographs. IEEE Trans. Imag. Proc. 5, 1346–1358 (1996)

    Article  Google Scholar 

  10. Lange, L.: Convergence of EM image reconstruction algorithms with Gibbs smoothing. IEEE Trans. Med. Imag. 9, 439–446 (1991)

    Article  Google Scholar 

  11. Ahmad, M., Todd Pokropek, A.: Impulse response investigations of median and quadratic priors in penalized-likelihood image reconstruction methods. In: 11th Symposium on Radiation Measurements and Applications (SORMA) held at University of Michigan, Ann Arbor, USA (2006)

    Google Scholar 

  12. Ahmad M., Todd Pokropek, A.: Partial Volume Correction using median priors in penalized-likelihood image reconstruction methods. In: IEEE Nucl. Sci. Sym. and Med. Imag. Conference 2006 at San Diego, California, USA (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Walter G. Kropatsch Martin Kampel Allan Hanbury

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ahmad, M., Todd-Pokropek, A. (2007). Non-uniform Resolution Recovery Using Median Priors in Tomographic Image Reconstruction Methods. In: Kropatsch, W.G., Kampel, M., Hanbury, A. (eds) Computer Analysis of Images and Patterns. CAIP 2007. Lecture Notes in Computer Science, vol 4673. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74272-2_34

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74272-2_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74271-5

  • Online ISBN: 978-3-540-74272-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics