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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 30, Iss. 3 — Mar. 1, 2013
  • pp: 367–379

Sparse ptychographical coherent diffractive imaging from noisy measurements

Vladimir Katkovnik and Jaakko Astola  »View Author Affiliations

JOSA A, Vol. 30, Issue 3, pp. 367-379 (2013)

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Ptychography is a lensless coherent diffractive imaging that uses intensity measurements of multiple diffraction patterns collected with a localized illumination probe from overlapping regions of an object. An iterative algorithm is proposed that is targeted on optimal processing noisy measurements. The noise suppression is enabled by two instruments: first, the maximum-likelihood technique formulated for Poissonian (photon-counting) measurements, and, second, sparse approximation of the phase and magnitude of the object and probe. It is shown that the maximum-likelihood estimate of the wavefield at the sensor plane for noisy measurements is essentially different from the famous Gerchberg–Saxton–Fienup solution, where the magnitude of the estimate is replaced by the square root of the intensity measurement. The simulation experiments demonstrate the state-of-the-art performance of the proposed algorithm both numerically and visually.

© 2013 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(070.2025) Fourier optics and signal processing : Discrete optical signal processing

ToC Category:
Image Processing

Original Manuscript: September 25, 2012
Revised Manuscript: November 18, 2012
Manuscript Accepted: November 26, 2012
Published: February 12, 2013

Vladimir Katkovnik and Jaakko Astola, "Sparse ptychographical coherent diffractive imaging from noisy measurements," J. Opt. Soc. Am. A 30, 367-379 (2013)

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