OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 20, Iss. 4 — Apr. 1, 2003
  • pp: 609–620

Aberration correction by maximizing generalized sharpness metrics

J. R. Fienup and J. J. Miller  »View Author Affiliations


JOSA A, Vol. 20, Issue 4, pp. 609-620 (2003)
http://dx.doi.org/10.1364/JOSAA.20.000609


View Full Text Article

Acrobat PDF (1505 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The technique of maximizing sharpness metrics has been used to estimate and compensate for aberrations with adaptive optics, to correct phase errors in synthetic-aperture radar, and to restore images. The largest class of sharpness metrics is the sum over a nonlinear point transformation of the image intensity. How the second derivative of the point nonlinearity varies with image intensity determines the effects of various metrics on the imagery. Some metrics emphasize making shadows darker, and other emphasize making bright points brighter. One can determine the image content needed to pick the best metric by computing the statistics of the image autocorrelation or of the Fourier magnitude, either of which is independent of the phase error. Computationally efficient, closed-form expressions for the gradient make possible efficient search algorithms to maximize sharpness.

© 2003 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(100.3010) Image processing : Image reconstruction techniques
(100.3020) Image processing : Image reconstruction-restoration
(100.5070) Image processing : Phase retrieval
(110.3000) Imaging systems : Image quality assessment
(110.5100) Imaging systems : Phased-array imaging systems
(280.6730) Remote sensing and sensors : Synthetic aperture radar

Citation
J. R. Fienup and J. J. Miller, "Aberration correction by maximizing generalized sharpness metrics," J. Opt. Soc. Am. A 20, 609-620 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-4-609


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. R. A. Muller and A. Buffington, “Real-time correction of atmospherically degraded telescope images through image sharpening,” J. Opt. Soc. Am. 64, 1200–1210 (1974).
  2. R. G. Paxman and J. C. Marron, “Aberration correction of speckled imagery with an image-sharpness criterion,” in Statistical Optics, G. M. Morris, ed., Proc. SPIE 976, 37–47 (1988).
  3. F. Berizzi and G. Corsini, “Autofocusing of inverse synthetic aperture radar images using contrast optimization,” IEEE Trans. Aerosp. Electron. Syst. 32, 1185–91 (1996).
  4. J. R. Fienup, “Synthetic-aperture radar autofocus by maximizing sharpness,” Opt. Lett. 25, 221–223 (2000).
  5. J. L. Walker, “Range-Doppler imaging of rotating objects,” IEEE Trans. Aerosp. Electron. Syst. AES-16, 23–52 (1980).
  6. B. C. Flores, “A robust method for the motion compensation of ISAR Imagery,” in Intelligent Robots and Computer Vision X: Algorithms and Techniques, D. P. Casasent, ed., Proc. SPIE 1607, 512–517 (1991).
  7. S. Karlin and H. M. Taylor, A First Course in Stochastic Processes, 2nd ed. (Academic, New York, 1975), p. 249.
  8. H. L. Royden, Real Analysis, 2nd ed. (MacMillan, New York, 1968), p. 110.
  9. B. C. Flores, A. Martinez, and J. Hammer, “Optimization of high-resolution-radar motion compensation via entropy-like functions,” in Antennas and Propagation Society International Symposium Digest (Institute of Electrical and Electronics Engineers, New York, 1993), pp. 1906–1909.
  10. C. V. Jakowatz, Jr., and D. E. Wahl, “An eigenvector method for maximum likelihood estimation of phase errors in SAR imagery,” J. Opt. Soc. Am. A 10, 2539–2546 (1993).
  11. J. R. Fienup, “Invariant error metrics for image reconstruction,” Appl. Opt. 36, 8352–8357 (1997).
  12. J. R. Fienup and J. J. Miller, “Generalized image sharpness metrics for correcting phase errors,” in Signal Recovery and Synthesis, Vol. 67 of Topics in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), pp. 84–86.

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.


Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited