Alternating split Bregman method for the bilaterally constrained image deblurring problem

DOI10.1016/j.amc.2014.11.004zbMath1328.94015OpenAlexW1967782773MaRDI QIDQ902848

Jun Wu, Zhi-Feng Pang, Bao-Li Shi

Publication date: 4 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.11.004

zbMATH Keywords

image deblurringalternating split Bregman methodbilateral constrainthigh-order modelROF model

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Computing methodologies for image processing (68U10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (2)

Deblurring Poisson noisy images by total variation with overlapping group sparsity ⋮ Two-stage image segmentation based on nonconvex \(\ell_2-\ell_p\) approximation and thresholding

Cites Work

• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
• Image super-resolution by TV-regularization and Bregman iteration
• On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
• Denoising with higher order derivatives of bounded variation and an application to parameter estimation
• An algorithm for total variation minimization and applications
• A first-order primal-dual algorithm for convex problems with applications to imaging
• Fast dual minimization of the vectorial total variation norm and applications to color image processing
• A primal-dual active-set algorithm for bilaterally constrained total variation deblurring and piecewise constant Mumford-Shah segmentation problems
• Fourth-order partial differential equations for noise removal
• A Two-Stage Image Segmentation Method Using a Convex Variant of the Mumford--Shah Model and Thresholding
• On the $O(1/n)$ Convergence Rate of the Douglas–Rachford Alternating Direction Method
• Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective
• A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
• The Split Bregman Method for L1-Regularized Problems
• A Fast Algorithm for Edge-Preserving Variational Multichannel Image Restoration
• Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
• Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models
• High-Order Total Variation-Based Image Restoration
• On High-Order Denoising Models and Fast Algorithms for Vector-Valued Images
• Signal Recovery by Proximal Forward-Backward Splitting
• Image Processing and Analysis
• Mathematical problems in image processing. Partial differential equations and the calculus of variations. Foreword by Olivier Faugeras

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