PuSH - Publikationsserver des Helmholtz Zentrums München

Export: TXT Text RIS Endnote (RIS) BIB BibTeX
Filbir, F. ; Melnyk, O.

Image recovery for blind polychromatic ptychography.

SIAM J. Imaging Sci. 16, 1308-1337 (2023)
Postprint DOI
Open Access Green
Ptychography is a lensless imaging technique, which considers reconstruction from a set of far-field diffraction patterns obtained by illuminating small overlapping regions of the specimen. In many cases, the distribution of light inside the illuminated region is unknown and has to be estimated along with the object of interest. This problem is referred to as blind ptychography. While in ptychography the illumination is commonly assumed to have a point spectrum, in this paper we consider an alternative scenario with a nontrivial light spectrum known as blind polychromatic ptychography. First, we show that nonblind polychromatic ptychography can be seen as a recovery from quadratic measurements. Then, a reconstruction from such measurements can be performed by a variant of the Amplitude Flow algorithm, which has guaranteed sublinear convergence to a critical point. Second, we address recovery from blind polychromatic ptychographic measurements by devising an alternating minimization version of Amplitude Flow and showing that it converges to a critical point at a sublinear rate.
Impact Factor
Scopus SNIP
Altmetric
2.100
0.000
Tags
Anmerkungen
Besondere Publikation
Auf Hompepage verbergern

Zusatzinfos bearbeiten
Eigene Tags bearbeiten
Privat
Eigene Anmerkung bearbeiten
Privat
Auf Publikationslisten für
Homepage nicht anzeigen
Als besondere Publikation
markieren
Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter Alternating Minimization ; Blind ; Gradient Descent ; Phase Retrieval ; Ptychography; Electron Ptychography; Phase Retrieval; Least-squares; Optimization
Sprache englisch
Veröffentlichungsjahr 2023
HGF-Berichtsjahr 2023
ISSN (print) / ISBN 1936-4954
Zeitschrift SIAM Journal on Imaging Sciences
Quellenangaben Band: 16, Heft: 3, Seiten: 1308-1337 Artikelnummer: , Supplement: ,
Verlag SIAM
Verlagsort Philadelphia, Pa.
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Biological and Medical Imaging (IBMI)
POF Topic(s) 30205 - Bioengineering and Digital Health
Forschungsfeld(er) Enabling and Novel Technologies
PSP-Element(e) G-505595-001
Förderungen Helmholtz Association
DOI 10.1137/22M1527155
WOS ID 001068964500003
Scopus ID 85179778250
Erfassungsdatum 2024-01-10
[➜Korrektur melden]