Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Phase retrieval from noisy data based on minimization of penalized I-divergence

Not Accessible

Your library or personal account may give you access

Abstract

We study noise artifacts in phase retrieval based on minimization of an information-theoretic discrepancy measure called Csiszár’s I-divergence. We specifically focus on adding Poisson noise to either the autocorrelation of the true image (as in astronomical imaging through turbulence) or the squared Fourier magnitudes of the true image (as in x-ray crystallography). Noise effects are quantified via various error metrics as signal-to-noise ratios vary. We propose penalized minimum I-divergence methods to suppress the observed noise artifacts. To avoid computational difficulties arising from the introduction of a penalty, we adapt Green’s one-step-late approach for use in our minimum I-divergence framework.

© 2006 Optical Society of America

Full Article  |  PDF Article
More Like This
Convergence of the Schulz-Snyder phase retrieval algorithm to local minima

Kerkil Choi, Aaron D. Lanterman, and Raviv Raich
J. Opt. Soc. Am. A 23(8) 1835-1845 (2006)

Phase retrieval from intensity-only data by relative entropy minimization

Ross W. Deming
J. Opt. Soc. Am. A 24(11) 3666-3679 (2007)

Complexity-guided Fourier phase retrieval from noisy data

Mansi Butola, Sunaina Rajora, and Kedar Khare
J. Opt. Soc. Am. A 38(4) 488-497 (2021)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (26)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (50)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved