Bilinear constraint based ADMM for mixed Poisson-Gaussian noise removal

DOI10.3934/ipi.2020071zbMath1471.65060arXiv1910.08206OpenAlexW3108327711MaRDI QIDQ2037216

Jie Zhang, Yuping Duan, Yue Lu, Huibin Chang, Michael Kwok-Po Ng

Publication date: 30 June 2021

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.08206

zbMATH Keywords

total variationconvergencealternating direction method of multipliersbilinear constraintmixed Poisson-Gaussian noise

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical optimization and variational techniques (65K10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (4)

A Splitting Scheme for Flip-Free Distortion Energies ⋮ Fully-connected tensor network decomposition for robust tensor completion problem ⋮ A Fast Minimization Algorithm for the Euler Elastica Model Based on a Bilinear Decomposition ⋮ Image reconstruction in light-sheet microscopy: spatially varying deconvolution and mixed noise

Cites Work

• Unnamed Item
• Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
• Nonlinear total variation based noise removal algorithms
• A reweighted \(\ell^2\) method for image restoration with Poisson and mixed Poisson-Gaussian noise
• Augmented Lagrangian method for total variation restoration with non-quadratic fidelity
• Alternating direction method of multipliers for a class of nonconvex bilinear optimization: convergence analysis and applications
• On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
• A dual algorithm for the solution of nonlinear variational problems via finite element approximation
• An algorithm for total variation minimization and applications
• Parallel multi-block ADMM with \(o(1/k)\) convergence
• Global convergence of ADMM in nonconvex nonsmooth optimization
• Cauchy noise removal by nonconvex ADMM with convergence guarantees
• Fast L1-L2 minimization via a proximal operator
• Image denoising: learning the noise model via nonsmooth PDE-constrained optimization
• Convergence Analysis of Alternating Direction Method of Multipliers for a Family of Nonconvex Problems
• Infimal Convolution of Data Discrepancies for Mixed Noise Removal
• A Convex Approach for Image Restoration with Exact Poisson--Gaussian Likelihood
• The study of an iterative method for the reconstruction of images corrupted by Poisson and Gaussian noise
• Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models
• Bilevel approaches for learning of variational imaging models
• Blind Ptychographic Phase Retrieval via Convergent Alternating Direction Method of Multipliers
• Analysis and automatic parameter selection of a variational model for mixed Gaussian and salt-and-pepper noise removal
• Practical Poissonian-Gaussian Noise Modeling and Fitting for Single-Image Raw-Data
• Optimal Inversion of the Generalized Anscombe Transformation for Poisson-Gaussian Noise
• On the Global Linear Convergence of the ADMM with MultiBlock Variables
• Robust Estimation of a Location Parameter
• The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent

This page was built for publication: Bilinear constraint based ADMM for mixed Poisson-Gaussian noise removal