OSA's Digital Library

Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editor: Gregory W. Faris
  • Vol. 2, Iss. 5 — May. 17, 2007

Median-prior tomography reconstruction combined with nonlinear anisotropic diffusion filtering

Jianhua Yan and Jun Yu  »View Author Affiliations


JOSA A, Vol. 24, Issue 4, pp. 1026-1033 (2007)
http://dx.doi.org/10.1364/JOSAA.24.001026


View Full Text Article

Enhanced HTML    Acrobat PDF (528 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Positron emission tomography (PET) is becoming increasingly important in the fields of medicine and biology. Penalized iterative algorithms based on maximum a posteriori (MAP) estimation for image reconstruction in emission tomography place conditions on which types of images are accepted as solutions. The recently introduced median root prior (MRP) favors locally monotonic images. MRP can preserve sharp edges, but a steplike streaking effect and much noise are still observed in the reconstructed image, both of which are undesirable. An MRP tomography reconstruction combined with nonlinear anisotropic diffusion interfiltering is proposed for removing noise and preserving edges. Analysis shows that the proposed algorithm is capable of producing better reconstructed images compared with those reconstructed by conventional maximum-likelihood expectation maximization (MLEM), MAP, and MRP-based algorithms in PET image reconstruction.

© 2007 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(110.6960) Imaging systems : Tomography
(170.3880) Medical optics and biotechnology : Medical and biological imaging

ToC Category:
Medical Optics and Biotechnology

History
Original Manuscript: January 27, 2006
Revised Manuscript: September 28, 2006
Manuscript Accepted: October 17, 2006
Published: March 14, 2007

Virtual Issues
Vol. 2, Iss. 5 Virtual Journal for Biomedical Optics

Citation
Jianhua Yan and Jun Yu, "Median-prior tomography reconstruction combined with nonlinear anisotropic diffusion filtering," J. Opt. Soc. Am. A 24, 1026-1033 (2007)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-24-4-1026


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. T. F. Budinger, G. T. Gullberg, and R. H. Huesman, "Emission computed tomography," in Image Reconstruction from Projections: Implementation and Applications, G.T.Herman, ed. (Springer-Verlag, 1979).
  2. S. Geman and D. Geman, "Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images," IEEE Trans. Pattern Anal. Mach. Intell. 6, 721-741 (1984). [CrossRef]
  3. S. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory (Prentice Hall, 1993).
  4. J. Biemond, R. L. Lagendijk, and R. M. Mersereau, "Iterative methods for image deblurring," Proc. IEEE 78, 856-883 (1990). [CrossRef]
  5. G. Kontaxakis, L. G. Strauss, and G. van Kaick, "Optimized image reconstruction for emission tomography using ordered subsets, median root prior, successive substitutions and a web-based interface," in Proceedings of IEEE Conference on Medical Imaging (Institute of Electrical and Electronics Engineers, 1998), pp. 1347-1352.
  6. S. Alenius, "On noise reduction in iterative image reconstruction algorithms for emission tomography: median root prior," Ph.D. dissertation (Tampere University of Technology, Tampere, Finland, 1999).
  7. I. T. Hsiao, A. Rangarjan, and G. Gindi, "A new convex edge-preserving median prior with applications to tomography," IEEE Trans. Med. Imaging 22, 580-585 (2003). [CrossRef] [PubMed]
  8. P. Perona and J. Malik, "Scale-space and edge detection using anisotropic diffusion," IEEE Trans. Pattern Anal. Mach. Intell. 12, 629-639 (1990). [CrossRef]
  9. M. Garcia-Silvente, J. A. Garcia, J. Fdez-Valdivia, and A. Garrido, "A new edge detector integrating scale-spectrum information," Image Vis. Comput. 15, 913-923 (1997). [CrossRef]
  10. J. Maeda, T. Iizawa, T. Ishizaka, C. Ishikawa, and Y. Suzuki, "Segmentation of natural images using anisotropic diffusion and linking of boundary edges," Pattern Recogn. 31, 1993-1999 (1998). [CrossRef]
  11. O. Demirkaya, "Anisotropic diffusion filtering of PET attenuation data to improve emission images," Phys. Med. Biol. 47, N271-N278 (2002). [CrossRef] [PubMed]
  12. Y. L. You and M. Kaveh, "Fourth-order partial differential equations for noise removal," IEEE Trans. Image Process. 9, 1723-1730 (2000). [CrossRef]
  13. J. Ling and A. C. Bovik, "Smoothing low-SNR molecular images via anisotropic median-diffusion," IEEE Trans. Med. Imaging 21, 377-384 (2002). [CrossRef] [PubMed]
  14. G. Gilboa, N. Sochen, and Y. Zeevi, "Forward-and-backward diffusion processes for adaptive image enhancement and denoising," IEEE Trans. Image Process. 11, 689-703 (2002). [CrossRef]
  15. L. A. Shepp and Y. Vardi, "Maximum likelihood reconstruction for emission tomography," IEEE Trans. Med. Imaging MI-1, 113-122 (1982). [CrossRef]
  16. P. J. Green, "Bayesian reconstruction from emission tomography data using a modified EM algorithm," IEEE Trans. Med. Imaging 9, 84-93 (1990). [CrossRef] [PubMed]
  17. Z. Zhou, R. M. Leahy, and J. Qi, "Approximate maximum likelihood hyperparameter estimation for Gibbs prior," IEEE Trans. Image Process. 6, 844-861 (1997). [CrossRef] [PubMed]
  18. T. Herbert and R. Leahy, "Statistic based MAP image reconstruction from Poisson data using Gibbs priors," IEEE Trans. Signal Process. 40, 2290-2303 (1992). [CrossRef]
  19. J. Nuyts, D. Bequ, P. Dupont, and L. Mortelmans, "A concave prior penalizing relative differences for maximum a posteriori reconstruction in emission tomography," IEEE Trans. Nucl. Sci. 49, 56-60 (2002). [CrossRef]
  20. S. Alenius, U. Ruotsalainen, and J. Astola, "A concave prior penalizing relative differences for maximum a posteriori reconstruction in emission tomography," IEEE Trans. Nucl. Sci. 45, 3097-3104 (1998). [CrossRef]
  21. W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in C: The Art of Scientific Computing, 2nd ed. (Cambridge U. Press, 1992), Chap. 15.
  22. J. W. Stayman and J. A. Fessler, "Compensation for nonuniform resolution using penalized likelihood reconstruction in space-variant imaging systems," IEEE Trans. Med. Imaging 23, 269-284 (2004). [CrossRef] [PubMed]
  23. J. A. Fessler, "Grouped coordinate descent algorithms for robust edge-preserving image restoration," in Proc. SPIE 3170, 184-194 (1997). [CrossRef]
  24. W. Chlewicki, F. Hermansen, and S. B. Hansen, "Noise reduction and convergence of Bayesian algorithms with blobs based on the Huber function and median root prior," Phys. Med. Biol. 49, 4717-4730 (2004). [CrossRef] [PubMed]
  25. G. T. Herman, Image Reconstruction from Projections: The Fundamentals of Computerized Tomography (Academic, 1980).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited