PuSH - Publikationsserver des Helmholtz Zentrums München

Diederichs, B. ; Filbir, F. ; Römer, P.

Wirtinger gradient descent methods for low-dose Poisson phase retrieval.

Inverse Probl. 40:125030 (2024)
Verlagsversion DOI
Open Access Gold (Paid Option)
Creative Commons Lizenzvertrag
The problem of phase retrieval has many applications in the field of optical imaging. Motivated by imaging experiments with biological specimens, we primarily consider the setting of low-dose illumination where Poisson noise plays the dominant role. In this paper, we discuss gradient descent algorithms based on different loss functions adapted to data affected by Poisson noise, in particular in the low-dose regime. Starting from the maximum log-likelihood function for the Poisson distribution, we investigate different regularizations and approximations of the problem to design an algorithm that meets the requirements that are faced in applications. In the course of this, we focus on low-count measurements. Based on an improved version of a variance-stabilizing transform for the Poisson distribution, we derive a decision rule for the regularization parameter in an averaged amplitude-based loss function. For all discussed loss functions, we study the convergence of the respective gradient descent algorithms to stationary points and find constant step sizes that guarantee descent of the loss in each iteration. Numerical experiments in the low-dose regime are performed to corroborate the theoretical observations.
Altmetric
Weitere Metriken?
[➜Einloggen]
Zusatzinfos bearbeiten [➜Einloggen]
Publikationstyp Artikel: Journalartikel
Dokumenttyp Review
Korrespondenzautor
Schlagwörter Gradient Descent ; Low-dose Imaging ; Optimization ; Phase Retrieval ; Poisson Noise; Ptychography; Microscopy
ISSN (print) / ISBN 0266-5611
e-ISSN 1361-6420
Zeitschrift Inverse Problems
Quellenangaben Band: 40, Heft: 12, Seiten: , Artikelnummer: 125030 Supplement: ,
Verlag Institute of Physics Publishing (IOP)
Verlagsort Temple Circus, Temple Way, Bristol Bs1 6be, England
Nichtpatentliteratur Publikationen
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Biological and Medical Imaging (IBMI)
Förderungen German Research Foundation (DFG)
Helmholtz Association