HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Proximity Operators for Phase Retrieval

Abstract : 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 undersampled 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 perform always better than using the classical intensity projector while their computational overhead is moderate.
Document type :
Journal articles
Complete list of metadata

Cited literature [36 references]  Display  Hide  Download

Contributor : Ferréol Soulez Connect in order to contact the contributor
Submitted on : Monday, November 13, 2017 - 9:56:33 PM
Last modification on : Thursday, February 10, 2022 - 10:36:04 AM
Long-term archiving on: : Wednesday, February 14, 2018 - 12:10:39 PM



Ferréol Soulez, Éric Thiébaut, Antony Schutz, André Ferrari, Frédéric Courbin, et al.. Proximity Operators for Phase Retrieval. Applied optics, Optical Society of America, 2016, 55 (26), pp.6640 - 6640. ⟨10.1364/AO.55.007412⟩. ⟨insu-01632688⟩



Record views


Files downloads