Total Variation--Based Phase Retrieval for Poisson Noise Removal
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Publication:4686909
DOI10.1137/16M1103270zbMath1398.65071OpenAlexW2783478024MaRDI QIDQ4686909
Yuping Duan, Yifei Lou, Stefano Marchesini, Huibin Chang
Publication date: 10 October 2018
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/16m1103270
total variationKullback-Leibler divergencealternating direction method of multipliersphase retrievalPoisson noise
Ill-posedness and regularization problems in numerical linear algebra (65F22) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems in optimal control (49N45) Problems with incomplete information (optimization) (49N30)
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Uses Software
Cites Work
- Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
- Nonlinear total variation based noise removal algorithms
- Alternating projection, ptychographic imaging and phase synchronization
- Primal and dual Bregman methods with application to optical nanoscopy
- A novel sparsity reconstruction method from Poisson data for 3D bioluminescence tomography
- Phase retrieval for sparse signals
- Phase retrieval with one or two diffraction patterns by alternating projections with the null initialization
- A flexible convex relaxation for phase retrieval
- Global convergence of ADMM in nonconvex nonsmooth optimization
- Fourier phase retrieval with a single mask by Douglas-Rachford algorithms
- Poisson noise reduction with non-local PCA
- PhaseLiftOff: an accurate and stable phase retrieval method based on difference of trace and Frobenius norms
- On signal reconstruction without phase
- An algebraic characterization of injectivity in phase retrieval
- Phase recovery, MaxCut and complex semidefinite programming
- Phase retrieval from coded diffraction patterns
- Primal-dual algorithms for total variation based image restoration under Poisson noise
- Low-Rank Spectral Optimization via Gauge Duality
- Phase Retrieval from Incomplete Magnitude Information via Total Variation Regularization
- PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming
- A Two-Stage Image Segmentation Method for Blurry Images with Poisson or Multiplicative Gamma Noise
- Absolute uniqueness of phase retrieval with random illumination
- Convergence Analysis of Alternating Direction Method of Multipliers for a Family of Nonconvex Problems
- Phase Retrieval via Wirtinger Flow: Theory and Algorithms
- Alternating direction methods for classical and ptychographic phase retrieval
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- Iterative Algorithms for Ptychographic Phase Retrieval
- Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models
- The reconstruction of a multidimensional sequence from the phase or magnitude of its Fourier transform
- Mathematical Considerations for the Problem of Fourier Transform Phase Retrieval from Magnitude
- Optical Wavefront Reconstruction: Theory and Numerical Methods
- PhaseMax: Convex Phase Retrieval via Basis Pursuit
- GESPAR: Efficient Phase Retrieval of Sparse Signals
- Phase Retrieval Using Alternating Minimization
- Sparsity-Based Poisson Denoising With Dictionary Learning
- Sparse Phase Retrieval: Uniqueness Guarantees and Recovery Algorithms
- Relaxed averaged alternating reflections for diffraction imaging
- Proximal Heterogeneous Block Implicit-Explicit Method and Application to Blind Ptychographic Diffraction Imaging
- Multilevel algorithm for a Poisson noise removal model with total-variation regularization
- Restoration of Poissonian Images Using Alternating Direction Optimization
- Optimal Inversion of the Anscombe Transformation in Low-Count Poisson Image Denoising
- Construction of time-limited functions with specified autocorrelation functions
- THE TRANSFORMATION OF POISSON, BINOMIAL AND NEGATIVE-BINOMIAL DATA
- Phase Retrieval via Matrix Completion
