A stable method solving the total variation dictionary model with \(L^\infty\) constraints
type: Item
instance of: scholarly article
title: A stable method solving the total variation dictionary model with \(L^\infty\) constraints
zbMATH Open document ID: 1305.65098
author: Liyan Ma
author: Lionel Moisan
author: Jian Yu
author: Tieyong Zeng
published in: Inverse Problems and Imaging
publication date: 2014-12-05T00:00:00Z
Mathematics Subject Classification ID: 65D18
Mathematics Subject Classification ID: 94A08
zbMATH DE Number: 6377636
zbMATH Keywords: image restoration
zbMATH Keywords: total variation
zbMATH Keywords: nonlocal total variation
zbMATH Keywords: proximal gradient method
zbMATH Keywords: wavelet packet decomposition
zbMATH Keywords: image processing
zbMATH Keywords: regularization
zbMATH Keywords: primal-dual algorithm
zbMATH Keywords: numerical experiment
MaRDI profile type: Publication
full work available at URL: ipi.2014.8.507
OpenAlex ID: W2327164726
cites work: Fast Image Recovery Using Variable Splitting and Constrained Optimization
cites work: Q4954179
cites work: A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
cites work: Q4821526
cites work: Q3739782
cites work: Fast dual minimization of the vectorial total variation norm and applications to color image processing
cites work: A Review of Image Denoising Algorithms, with a New One
cites work: A Comprehensive Framework for Image Inpainting
cites work: New multiscale transforms, minimum total variation synthesis: Applications to edge-preserving image reconstruction
cites work: An algorithm for total variation minimization and applications
cites work: Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage
cites work: A first-order primal-dual algorithm for convex problems with applications to imaging
cites work: A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration
cites work: Image Processing and Analysis
cites work: Nested Iterative Algorithms for Convex Constrained Image Recovery Problems
cites work: Signal Recovery by Proximal Forward-Backward Splitting
cites work: Ten Lectures on Wavelets
cites work: An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
cites work: Ideal spatial adaptation by wavelet shrinkage
cites work: Adapting to Unknown Smoothness via Wavelet Shrinkage
cites work: Q4085497
cites work: Nonlocal Operators with Applications to Image Processing
cites work: The Split Bregman Method for L1-Regularized Problems
cites work: Solving a variational image restoration model which involves L constraints
cites work: A Weighted Dictionary Learning Model for Denoising Images Corrupted by Mixed Noise
cites work: A framework for image deblurring using wavelet packet bases
cites work: Proximity algorithms for image models: denoising
cites work: Q5728711
cites work: Proximité et dualité dans un espace hilbertien
cites work: Q3320132
cites work: Inexact Alternating Direction Methods for Image Recovery
cites work: Non-local regularization of inverse problems
cites work: Nonlinear total variation based noise removal algorithms
cites work: Operator splittings, Bregman methods and frame shrinkage in image processing
cites work: On the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and SIDEs
cites work: Augmented Lagrangian Method, Dual Methods and Split Bregman Iteration for ROF Model
cites work: Augmented Lagrangian method for total variation restoration with non-quadratic fidelity
cites work: Q3149262
cites work: On the Total Variation Dictionary Model
cites work: Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction
DOI: 10.3934/IPI.2014.8.507
description: scientific article; zbMATH DE number 6377636