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.
Cited literature [36 references]
https://hal-insu.archives-ouvertes.fr/insu-01632688
Contributor : Ferréol Soulez <>
Submitted on : Monday, November 13, 2017 - 9:56:33 PM
Last modification on : Monday, October 12, 2020 - 11:10:19 AM
Long-term archiving on: : Wednesday, February 14, 2018 - 12:10:39 PM
Contributor : Ferréol Soulez <>
Submitted on : Monday, November 13, 2017 - 9:56:33 PM
Last modification on : Monday, October 12, 2020 - 11:10:19 AM
Long-term archiving on: : Wednesday, February 14, 2018 - 12:10:39 PM