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

Probabilistic algorithm for phase retrieval

Not Accessible

Your library or personal account may give you access

Abstract

A probabilistic approach is proposed for the problem of estimating a function from the modulus of its Fourier transform. In this approach, the statistics of the measurement noise and prior knowledge about the function itself (for example, support and positivity) can be incorporated in an optimal fashion. The procedure is iterative and is based on a succession of linear estimation steps involving higher and higher spatial-frequency cutoffs. A series of numerical experiments was performed to test the ability of the algorithm to reconstruct two-dimensional test images under various circumstances. For these particular experiments, the inversion was performed on the assumption that the statistical ensemble of possible images corresponds to a Gaussian random process with no positivity constraint.

© 1988 Optical Society of America

Full Article  |  PDF Article
More Like This
Performance of a simulated-annealing algorithm for phase retrieval

M. Nieto-Vesperinas, R. Navarro, and F. J. Fuentes
J. Opt. Soc. Am. A 5(1) 30-38 (1988)

Iterative blind deconvolution algorithm applied to phase retrieval

J. H. Seldin and J. R. Fienup
J. Opt. Soc. Am. A 7(3) 428-433 (1990)

Phase retrieval algorithms: a comparison

J. R. Fienup
Appl. Opt. 21(15) 2758-2769 (1982)

References

You do not have subscription access to this journal. Citation lists with outbound citation 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

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 (3)

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 (27)

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

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved