OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 20, Iss. 10 — May. 15, 1995
  • pp: 1172–1174

Image restoration by a novel method of parallel projection onto constraint sets

Tuvia Kotzer, Nir Cohen, and Joseph Shamir  »View Author Affiliations


Optics Letters, Vol. 20, Issue 10, pp. 1172-1174 (1995)
http://dx.doi.org/10.1364/OL.20.001172


View Full Text Article

Enhanced HTML    Acrobat PDF (378 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Image restoration from degraded observations and from properties that the image is supposed to satisfy has been approached by the method of projections onto convex constraint sets. Previous attempts have incorporated only partially the knowledge that we possess about the image to be restored because of difficulties in the implementation of some of the projections. In the parallel-projection algorithm presented here the a priori knowledge can be fully exploited. Moreover, the algorithm operates well even if the constraints are nonconvex and/or if the constraints have an empty intersection, without a limitation on the (finite) number of constraint sets.

© 1995 Optical Society of America

History
Original Manuscript: November 11, 1994
Published: May 15, 1995

Citation
Tuvia Kotzer, Nir Cohen, and Joseph Shamir, "Image restoration by a novel method of parallel projection onto constraint sets," Opt. Lett. 20, 1172-1174 (1995)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-20-10-1172


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. J. Trussel, M. R. Civanlar, IEEE Trans Acoust. Speech Signal Process. ASSP-32, 201 (1984). [CrossRef]
  2. M. I. Sezan, A. M. Tekalp, IEEE Trans. Acoust. Speech Signal Process. 38, 181 (1990). [CrossRef]
  3. M. I. Sezan, H. J. Trussel, IEEE Trans. Acoust. Speech Signal Process. 39, 2275 (1991).
  4. B. R. Hunt, IEEE Trans. Comput. C-22, 805 (1973). [CrossRef]
  5. T. Kotzer, N. Cohen, J. Shamir, “Extended and alternative projections onto convex constraint sets: theory and applications,” EE Publ. 900 (Technion—Israel Institute of Technology, Haifa, Israel, November1993).
  6. G. Pierra, Math. Program. 28, 96 (1984). [CrossRef]
  7. S. Oh, R. J. Marks, L. E. Atlas, IEEE Trans. Acoust. Speech Signal Process. 42, 1653 (1994).
  8. A. Levi, H. Stark, J. Opt. Soc. Am. A1, 932 (1984). [CrossRef]
  9. P. L. Combettes, H. J. Trussel, J. Optim. Theory Appl. 67, 487 (1990). [CrossRef]
  10. Y. Censor, T. Elfving, “A multiprojection algorithm using Bregman projections in a product space,” Numer. Algorithms (to be published).
  11. T. Kotzer, J. Rosen, J. Shamir, “Application of serial and parallel projection methods to correlation filter design,” Appl. Opt. (to be published).
  12. J. Rosen, Opt. Lett. 19, 369 (1994). [CrossRef] [PubMed]
  13. T. Kotzer, N. Cohen, J. Shamir, “A projection algorithm for consistent and inconsistent constraints,” EE Publ. 920 (Technion—Israel Institute of Technology, Haifa, Israel, August1994).

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.

Figures

Fig. 1 Fig. 2
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited