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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 3 — Mar. 1, 2008
  • pp: 701–709

Phase retrieval with Fourier-weighted projections

Manuel Guizar-Sicairos and James R. Fienup  »View Author Affiliations

JOSA A, Vol. 25, Issue 3, pp. 701-709 (2008)

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In coherent lensless imaging, the presence of image sidelobes, which arise as a natural consequence of the finite nature of the detector array, was early recognized as a convergence issue for phase retrieval algorithms that rely on an object support constraint. To mitigate the problem of truncated far-field measurement, a controlled analytic continuation by means of an iterative transform algorithm with weighted projections is proposed and tested. This approach avoids the use of sidelobe reduction windows and achieves full-resolution reconstructions.

© 2008 Optical Society of America

OCIS Codes
(100.3020) Image processing : Image reconstruction-restoration
(100.5070) Image processing : Phase retrieval
(100.6640) Image processing : Superresolution
(260.1960) Physical optics : Diffraction theory
(340.7440) X-ray optics : X-ray imaging

ToC Category:
Image Processing

Original Manuscript: October 9, 2007
Manuscript Accepted: December 16, 2007
Published: February 14, 2008

Manuel Guizar-Sicairos and James R. Fienup, "Phase retrieval with Fourier-weighted projections," J. Opt. Soc. Am. A 25, 701-709 (2008)

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