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Paper Detail

Paper IDIMT-CIF-2.6
Paper Title POISSON PHASE RETRIEVAL WITH WIRTINGER FLOW
Authors Zongyu Li, University of Michigan, United States; Kenneth Lange, University of California, Los Angeles, United States; Jeffrey A. Fessler, University of Michigan, United States
SessionIMT-CIF-2: Computational Imaging 2
LocationArea I
Session Time:Wednesday, 22 September, 14:30 - 16:00
Presentation Time:Wednesday, 22 September, 14:30 - 16:00
Presentation Poster
Topic Computational Imaging Methods and Models: Statistical Image Models
IEEE Xplore Open Preview  Click here to view in IEEE Xplore
Abstract This paper discusses algorithms for phase retrieval where the measurements follow independent Poisson distributions. We developed an optimization problem based on maximum likelihood estimation (MLE) for the Poisson model and applied a Wirtinger flow algorithm to solve it. Simulation results with a random Gaussian sensing matrix and Poisson measurement noise demonstrated that the Wirtinger flow algorithm based on the Poisson model produced higher quality reconstructions than when algorithms derived from Gaussian noise models (Wirtinger flow, Gerchberg Saxton) are applied to such data, with significantly improved computational efficiency.