A direct solver for the phase retrieval problem in ptychographic imaging

DOI10.1016/j.matcom.2019.11.003OpenAlexW2984818678WikidataQ126776210 ScholiaQ126776210MaRDI QIDQ1998068

Maik Kahnt, Florian Boßmann, Nada Sissouno, Christian Schroer, Frank-Dieter Filbir, Wolfgang Zu Castell, Mark A. Iwen, Rayan Saab

Publication date: 6 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.07940

zbMATH Keywords

image reconstructionphase retrievalptychographydiffraction imaging

Mathematics Subject Classification ID

Mathematical programming (90Cxx) General topics in optics and electromagnetic theory (78Axx) Communication, information (94Axx) Special matrices (15Bxx)

Related Items (3)

Stable phase retrieval and perturbations of frames ⋮ Well-conditioned ptychographic imaging via lost subspace completion ⋮ Applied scientific computing XV: innovative modeling and simulation in sciences

Uses Software

• BlockPR
• PhaseLift
• Wirtinger Flow

Cites Work

• Alternating projection, ptychographic imaging and phase synchronization
• Improved recovery guarantees for phase retrieval from coded diffraction patterns
• Phase retrieval from local measurements: improved robustness via eigenvector-based angular synchronization
• Phase retrieval from coded diffraction patterns
• PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming
• Phase Retrieval via Wirtinger Flow: Theory and Algorithms
• Fast Phase Retrieval from Local Correlation Measurements

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