Phase retrieval: a data-driven wavelet frame based approach

DOI10.1016/j.acha.2019.05.004OpenAlexW2948803605WikidataQ127781371 ScholiaQ127781371MaRDI QIDQ2197956

Tongyao Pang, Zuowei Shen, ZaiWen Wen, Qing-Na Li

Publication date: 1 September 2020

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2019.05.004

zbMATH Keywords

phase retrievalwavelet framedata-drivencomplicated noisehybrid fidelity termhybrid penalty termproximal alternating linearization

Mathematics Subject Classification ID

Numerical analysis (65-XX) Information and communication theory, circuits (94-XX)

Related Items

Data-Driven Tight Frame Construction for Impulsive Noise Removal, Finding robust minimizer for non-convex phase retrieval, Isotropic non-Lipschitz regularization for sparse representations of random fields on the sphere

Uses Software

• GESPAR
• PhaseLift
• PhaseCut
• Wirtinger Flow

Cites Work

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• Image restoration: a wavelet frame based model for piecewise smooth functions and beyond
• Phase retrieval for imaging problems
• Proximal alternating linearized minimization for nonconvex and nonsmooth problems
• Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems
• Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods
• X-ray CT image reconstruction via wavelet frame based regularization and Radon domain inpainting
• Phase recovery, MaxCut and complex semidefinite programming
• Phase retrieval from coded diffraction patterns
• Phase Retrieval from Incomplete Magnitude Information via Total Variation Regularization
• PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming
• Phase Retrieval via Wirtinger Flow: Theory and Algorithms
• An Accelerated Proximal Gradient Algorithm for Frame-Based Image Restoration via the Balanced Approach
• Array imaging using intensity-only measurements
• Alternating direction methods for classical and ptychographic phase retrieval
• Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
• Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
• Restoration of Chopped and Nodded Images by Framelets
• Iteratively reweighted least squares minimization for sparse recovery
• Two-Point Step Size Gradient Methods
• GESPAR: Efficient Phase Retrieval of Sparse Signals
• On Fienup Methods for Sparse Phase Retrieval
• De-noising by soft-thresholding
• Globally Convergent Levenberg-Marquardt Method for Phase Retrieval
• Image Restoration with Mixed or Unknown Noises
• Analysis versus synthesis in signal priors
• Wavelet Frame Based Algorithm for 3D Reconstruction in Electron Microscopy
• Phase Retrieval via Matrix Completion