Augmented Lagrangian method for TV-\(l_1\)-\(l_2\) based colour image restoration

DOI10.1016/j.cam.2018.09.053zbMath1432.94017OpenAlexW2904054353WikidataQ113103581 ScholiaQ113103581MaRDI QIDQ2423568

Poom Kumam, Juan Martínez Moreno, Anantachai Padcharoen

Publication date: 20 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2018.09.053

zbMATH Keywords

image restorationaugmented Lagrangianconvex minimization problemimage recovery problemstotal variation(TV)

Mathematics Subject Classification ID

Convex programming (90C25) Semigroups of nonlinear operators (47H20) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Decomposition methods (49M27) Discrete approximations in optimal control (49M25) Numerical methods of relaxation type (49M20) Linear operators and ill-posed problems, regularization (47A52)

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Color image restoration based on saturation-value total variation plus L1 fidelity* ⋮ Special issue: Selected papers of CMMSE ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Inertial proximal strictly contractive peaceman-Rachford splitting method with an indefinite term for convex optimization ⋮ Unnamed Item ⋮ Strong convergence of a forward-backward splitting method with a new step size for solving monotone inclusions ⋮ Semi-supervised learning-assisted imaging method for electrical capacitance tomography

Cites Work

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• Nonlinear total variation based noise removal algorithms
• Iterative methods for fixed point problems in Hilbert spaces
• Augmented Lagrangian method for total generalized variation based Poissonian image restoration
• A Two-Stage Image Segmentation Method Using a Convex Variant of the Mumford--Shah Model and Thresholding
• Optimal approximations by piecewise smooth functions and associated variational problems
• An Augmented Lagrangian Method for Total Variation Video Restoration
• Convex Analysis

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