Fourier-Domain Fixed Point Algorithms with Coded Diffraction Patterns

2014/06/10 by Albert Fannjiang, Fannjiang, Albert
Engineering · Materials Science · Physics and Astronomy · #Advanced X-ray Imaging Techniques #Advancements in Photolithography Techniques #Data Analysis #FOS: Physical sciences #Optical Coatings and Gratings #Optics (physics.optics) #Statistics and Probability (physics.data-an) #physics.data-an #physics.optics

paper · pdf · doi:10.48550/arxiv.1406.2742

openalex publication_date 2014/06/10 · arxiv created 2016/03/08 · arxiv updated 2016/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Fourier-domain Difference Map (FDM) for phase retrieval with two oversampled coded diffraction patterns are proposed. FDM is a 3-parameter family of fixed point algorithms including Fourier-domain Hybrid-Projection-Reflection (FHPR) and Douglas-Rachford (FDR) algorithm. For generic complex objects without any object constraint, FDM yields a unique fixed point, after proper projection back to the object domain, which is the true solution to the phase retrieval problem up to a global phase factor.

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• Phase Retrieval from Coded Diffraction Patterns
• Robust Phase Retrieval and Super-Resolution from One Bit Coded Diffraction Patterns
• Recovery Performance of PhaseLift for Phase Retrieval from Coded Diffraction Patterns