OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 38, Iss. 11 — Apr. 10, 1999
  • pp: 2232–2239

Regularization of the image division approach to blind deconvolution

Sergio Barraza-Felix and B. Roy Frieden  »View Author Affiliations


Applied Optics, Vol. 38, Issue 11, pp. 2232-2239 (1999)
http://dx.doi.org/10.1364/AO.38.002232


View Full Text Article

Enhanced HTML    Acrobat PDF (1449 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A problem of blind deconvolution arises when one attempts to restore a short-exposure image that has been degraded by random atmospheric turbulence. We attack the problem by using two short-exposure images as data inputs. The Fourier transform of each is taken, and the two are divided. The result is the quotient of the two unknown transfer functions. The latter are expressed, by means of the sampling theorem, as Fourier series in corresponding point-spread functions, the unknowns of the problem. Cross multiplying the division equation gives an equation that is linear in the unknowns. However, the problem has, initially, a multiplicity of solutions. This deficiency is overcome by use of the prior knowledge that the object and the point-spread functions have finite (albeit unknown) support extensions and also are positive. The result is a fixed-length, linear algorithm that is regularized to the presence of 4–15% additive noise of detection.

© 1999 Optical Society of America

OCIS Codes
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(100.3010) Image processing : Image reconstruction techniques
(100.5070) Image processing : Phase retrieval

History
Original Manuscript: July 2, 1998
Revised Manuscript: November 19, 1998
Published: April 10, 1999

Citation
Sergio Barraza-Felix and B. Roy Frieden, "Regularization of the image division approach to blind deconvolution," Appl. Opt. 38, 2232-2239 (1999)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-38-11-2232


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  2. F. Roddier, “The effects of atmospheric turbulence in optical astronomy,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1981), Vol. XIX, pp. 281–376. [CrossRef]
  3. J. C. Dainty, “Stellar speckle interferometry,” in Laser Speckle and Related Phenomena, 2nd ed., J. C. Dainty, ed., Vol. 9 of Topics in Applied Physics (Springer-Verlag, New York, 1984), pp. 255–320.
  4. J. C. Dainty, J. R. Fienup, “Phase retrieval and image reconstruction for astronomy,” in Image Recovery, Theory and Application, H. Stark, ed. (Academic, New York, 1987), pp. 231–275.
  5. R. S. Lawrence, J. W. Strohbehn, “A survey of clear-air propagation effects relevant to optical communications,” Proc. IEEE 58, 1523–1544 (1970). [CrossRef]
  6. T. J. Holmes, “Blind deconvolution of quantum-limited incoherent imagery: maximum-likelihood approach,” J. Opt. Soc. Am. A 9, 1052–1061 (1992). [CrossRef] [PubMed]
  7. M. C. Roggemann, B. Welsh, Imaging through Turbulence (CRC Press, Boca Raton, Fla., 1996).
  8. G. Ayers, J. C. Dainty, “Iterative blind deconvolution method and its applications,” Opt. Lett. 13, 547–549 (1988). [CrossRef]
  9. R. G. Lane, “Blind deconvolution of speckle images,” J. Opt. Soc. Am. A 9, 1508–1524 (1992). [CrossRef]
  10. P. A. Jansson, Deconvolution of Images and Spectra, 2nd ed. (Academic, San Diego, Calif., 1997).
  11. B. R. Frieden, “An exact, linear solution to the problem of imaging through turbulence,” Opt. Commun. 150, 15–21 (1998). [CrossRef]
  12. D. Fowley, M. Horton, J. Scordato, eds., matlab, Student Edition, Version 4 (Prentice-Hall, Englewood Cliffs, N. J.1995).
  13. B. R. Frieden, “Image enhancement and restoration,” in Picture Processing and Digital Filtering, T. S. Huang, ed., Vol. 6 of Topics in Applied Physics (Springer-Verlag, New York, 1975), p. 221.

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