Generic Half-Quadratic Optimization for Image Reconstruction

DOI10.1137/140987845zbMath1326.49058OpenAlexW1594233226MaRDI QIDQ3192675

Marc C. Robini, Yue Min Zhu

Publication date: 13 October 2015

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/67ec332151017da601066284408d9c4706cadc4a

zbMATH Keywords

regularizationinverse problemsnonconvex optimizationimage reconstructionill-posednessedge preservationhalf-quadratic optimization algorithm

Mathematics Subject Classification ID

Related Items (6)

Block delayed Majorize-Minimize subspace algorithm for large scale image restoration ^* ⋮ A class of singular diffusion equations based on the convex-nonconvex variation model for noise removal ⋮ Half-quadratic image restoration with a non-parallelism constraint ⋮ On the discontinuity of images recovered by noncovex nonsmooth regularized isotropic models with box constraints ⋮ Inexact Half-Quadratic Optimization for Linear Inverse Problems ⋮ SABRINA: a stochastic subspace majorization-minimization algorithm

Cites Work

• Unnamed Item
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• Sufficient conditions for the convergence of monotonic mathematical programming algorithms
• Global optimization by random perturbation of the gradient method with a fixed parameter
• A variational approach to remove outliers and impulse noise
• Edge-preserving reconstruction with contour-line smoothing and non-quadratic data-fidelity
• Stability of the minimizers of least squares with a non-convex regularization. II: Global behavior
• Stability of the minimizers of least squares with a non-convex regularization. I: Local behavior
• A Majorize-Minimize Subspace Approach for $\ell_2-\ell_0$ Image Regularization
• Biorthogonal bases of compactly supported wavelets
• Analysis of bounded variation penalty methods for ill-posed problems
• Convex half-quadratic criteria and interacting auxiliary variables for image restoration
• Fast, robust total variation-based reconstruction of noisy, blurred images
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
• Iterative Methods for Total Variation Denoising
• Convergence Rates for Inverse Problems with Impulsive Noise
• Fast Nonconvex Nonsmooth Minimization Methods for Image Restoration and Reconstruction
• Framelet Algorithms for De-Blurring Images Corrupted by Impulse Plus Gaussian Noise
• Hessian-Based Norm Regularization for Image Restoration With Biomedical Applications
• Higher Degree Total Variation (HDTV) Regularization for Image Recovery
• Analysis of Half-Quadratic Minimization Methods for Signal and Image Recovery
• Analysis of the Recovery of Edges in Images and Signals by Minimizing Nonconvex Regularized Least-Squares

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