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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 22, Iss. 18 — Sep. 15, 1983
  • pp: 2781–2789

Image restoration by convex projections in the presence of noise

M. I. Sezan and Henry Stark  »View Author Affiliations


Applied Optics, Vol. 22, Issue 18, pp. 2781-2789 (1983)
http://dx.doi.org/10.1364/AO.22.002781


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Abstract

In this paper we investigate how the method of convex projections for image restoration behaves in the presence of noise. We also introduce and test a new noise-smoothing procedure in which the restored image is forced to lie within a certain L2 distance of the noisy data. We show that, in the presence of noise, restoration by convex projections is superior to the Gerchberg-Papoulis method.

© 1983 Optical Society of America

History
Original Manuscript: March 31, 1983
Published: September 15, 1983

Citation
M. I. Sezan and Henry Stark, "Image restoration by convex projections in the presence of noise," Appl. Opt. 22, 2781-2789 (1983)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-22-18-2781


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References

  1. R. W. Gerchberg, Opt. Acta 21, 709 (1974). [CrossRef]
  2. A. Papoulis, IEEE Trans. Circuits Syst. CAS-22, 735 (1975). [CrossRef]
  3. H. Stark, D. Cahana, H. Webb, J. Opt. Soc. Am. 71, 635 (1981). [CrossRef]
  4. J. A. Cadzow, IEEE Trans. Circuits Syst. CAS-25, 74 (1978).
  5. H. Stark, D. Cahana, G. J. Habetter, Opt. Lett. 6, 259 (1981). [CrossRef] [PubMed]
  6. D. C. Youla, IEEE Trans. Circuits Syst. CAS-25, 694 (1978). [CrossRef]
  7. L. M. Bregman, Dokl. Akad. Nauk SSSR 162, 487 (1965).
  8. L. G. Gubin, B. T. Polyak, E. V. Raik, USSR Comput. Math. Math. Phys. 7, 1 (1967). [CrossRef]
  9. A. Lent, H. Tuy, J. Math. Anal. Appl. 83, 554 (1981). [CrossRef]
  10. D. C. Youla, H. Webb, IEEE Trans. Med. Imaging, MI-1, 81 (1982). [CrossRef]
  11. M. I. Sezan, H. Stark, IEEE Trans. Med. Imaging MI-1, 95 (1982). [CrossRef]
  12. Z. Opial, Bull. Am. Math. Soc. 72, 591 (1967). [CrossRef]
  13. H. Stark, J. W. Woods, I. Paul, R. Hingorani, IEEE Trans. Acoust. Speech Signal Process. ASSP-29, 237 (1981). [CrossRef]
  14. M. H. Hayes, J. S. Lim, A. V. Oppenheim, IEEE Trans. Acoust., Speech Signal Process. ASSP-28, 672 (1980). [CrossRef]
  15. A. Levi, H. Stark, J. Opt. Soc. Am., 73, 810 (1983). [CrossRef]

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