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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • 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)

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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

Original Manuscript: June 19, 2002
Revised Manuscript: December 2, 2002
Manuscript Accepted: December 2, 2002
Published: April 1, 2003

J. R. Fienup and J. J. Miller, "Aberration correction by maximizing generalized sharpness metrics," J. Opt. Soc. Am. A 20, 609-620 (2003)

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