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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 13, Iss. 7 — Jul. 1, 1996
  • pp: 1524–1531

Blind deconvolution and phase retrieval from point zeros

Pi-tung Chen, M. A. Fiddy, C.-W. Liao, and D. A. Pommet  »View Author Affiliations


JOSA A, Vol. 13, Issue 7, pp. 1524-1531 (1996)
http://dx.doi.org/10.1364/JOSAA.13.001524


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Abstract

The points at which two-dimensional spectra of band-limited functions are zero can be used to generate a polynomial approximation of the complex spectrum. These point-zero locations are common to both the spectrum and the associated power spectrum. The phase of the complex-valued polynomial along with the measured intensity data is used to generate an initial guess for the function that an error-reduction algorithm can improve. This approach has practical utility for Fourier phase retrieval as well as for blind deconvolution. The limitations of the model are discussed, and examples are given.

© 1996 Optical Society of America

History
Original Manuscript: October 16, 1995
Revised Manuscript: January 26, 1996
Manuscript Accepted: February 9, 1996
Published: July 1, 1996

Citation
Pi-tung Chen, M. A. Fiddy, C.-W. Liao, and D. A. Pommet, "Blind deconvolution and phase retrieval from point zeros," J. Opt. Soc. Am. A 13, 1524-1531 (1996)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-13-7-1524

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