Toward fast and provably accurate near-field ptychographic phase retrieval

DOI10.1007/s43670-022-00045-3OpenAlexW4318484046MaRDI QIDQ2700167

Mark Philip Roach, Michael Perlmutter, Mark A. Iwen

Publication date: 20 April 2023

Published in: Sampling Theory, Signal Processing, and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.10804

zbMATH Keywords

inverse problemsphase retrievalWirtinger flowFourier ptychographynear-field ptychographyweighted angular synchronization

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Applications to the sciences (65Z05) Numerical methods in Fourier analysis (65T99)

Uses Software

• Wirtinger Flow

Cites Work

• Unnamed Item
• Phase retrieval from local measurements: improved robustness via eigenvector-based angular synchronization
• Admissible measurements and robust algorithms for ptychography
• On recovery guarantees for angular synchronization
• Phase Retrieval via Wirtinger Flow: Theory and Algorithms
• Fast Phase Retrieval from Local Correlation Measurements
• Fixed Point Analysis of Douglas--Rachford Splitting for Ptychography and Phase Retrieval
• Iterative Algorithms for Ptychographic Phase Retrieval
• Symmetric functions and the phase problem in crystallography
• Inverting spectrogram measurements via aliased Wigner distribution deconvolution and angular synchronization

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