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research article

Proximity Operators for Phase Retrieval

Soulez, Ferreol
•
Thiébaut, Éric
•
Schutz, Antony
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2016
Applied Optics

We present a new formulation of a family of proximity operators that generalize the projector step for phase retrieval. These proximity operators for noisy intensity measurements can replace the classical "noise-free" projection in any projection-based algorithm. They are derived from a maximum-likelihood formulation and admit closed form solutions for both the Gaussian and the Poisson cases. In addition, we extend these proximity operators to under-sampled intensity measurements. To assess their performance, these operators are exploited in a classical Gerchberg-Saxton algorithm. We present numerical experiments showing that the reconstructed complex amplitudes with these proximity operators always perform better than using the classical intensity projector, while their computational overhead is moderate.

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Type
research article
DOI
10.1364/AO.55.007412
Web of Science ID

WOS:000383996000032

Author(s)
Soulez, Ferreol
•
Thiébaut, Éric
•
Schutz, Antony
•
Ferrari, André
•
Courbin, Frédéric
•
Unser, Michael  
Date Issued

2016

Publisher

OSA

Published in
Applied Optics
Volume

55

Issue

26

Start page

7412

End page

7421

URL

URL

http://bigwww.epfl.ch/publications/soulez1604.html

URL

http://bigwww.epfl.ch/publications/soulez1604.pdf

URL

http://bigwww.epfl.ch/publications/soulez1604.ps
Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LIB  
Available on Infoscience
October 27, 2016
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/130794
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