Phase Retrieval from Short-Time Fourier Measurements and Applications to Ptychography

Melnyk, Oleh

Oleh Melnyk

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Original title:: Phase Retrieval from Short-Time Fourier Measurements and Applications to Ptychography
Translated title:: Phasenrekonstruktion aus Messungen der Kurzzeit-Fourier-Transformation und ihre Anwendung in der Ptychographie
Author:: Melnyk, Oleh
Year:: 2023
Document type:: Dissertation
Faculty/School:: TUM School of Computation, Information and Technology
Advisor:: Krahmer, Felix (Prof. Dr.)
Referee:: Krahmer, Felix (Prof. Dr.); Iwen, Mark (Prof., Ph.D.); Kunis, Stefan (Prof. Dr.)
Language:: en
Subject group:: MAT Mathematik
Keywords:: ptychography, phase retrieval, inverse problems, optimization, applied harmonic analysis
TUM classification:: MAT 490; MAT 917
Abstract:: We consider recovery from ptychographic measurements also known as Short-Time Fourier Transform phase retrieval. We study Amplitude Flow, Error Reduction and Ptychographic Iterative Engine algorithms and derive their convergence speed. In addition, Block Phase Retrieval algorithm and its modifications are studied. Furthermore, we consider blind ptychography and devise a version of Amplitude Flow with guaranteed convergence. Finally, some results are extended to polychromatic ptychography.
Translated abstract:: Wir betrachten die Rekonstruktion eines Objektes von ptychographischen Messungen. Wir untersuchen die Algorithmen Amplitude Flow, Error Reduction und Ptychographic Iterative Engine und leiten deren Konvergenzgeschwindigkeit ab. Außerdem untersuchen wir den Block Phase Retrieval Algorithmus. Des Weiteren betrachten wir blinde Ptychographie und entwickeln eine Version von Amplitude Flow mit garantierter Konvergenz. Zuletzt erweitern wir einige der Resultate für polychromatische Ptychographie.
WWW:: https://mediatum.ub.tum.de/?id=1661348
Date of submission:: 17.06.2022
Oral examination:: 09.03.2023
File size:: 4673828 bytes
Pages:: 229
Urn (citeable URL):: https://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:91-diss-20230309-1661348-1-0
Last change:: 11.05.2023
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