On the Kantorovich theorem and the regularization of total variation denoising problems

DOI10.1216/RMJ-2010-40-2-595zbMath1194.49039OpenAlexW2019221533MaRDI QIDQ976559

B. E. Eshmatov

Publication date: 14 June 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2010-40-2-595

zbMATH Keywords

Newton's methodLagrangian homotopy methodradius of Kantorovich balltotal variation methods

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Newton-type methods (49M15) Regularity of solutions in optimal control (49N60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (2)

The radius of attraction for Newton's method and TV-minimization image denoising ⋮ Homotopy method for a mean curvature-based denoising model

Cites Work

• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• Image recovery via total variation minimization and related problems
• TV based image restoration with local constraints
• Augmented Lagrangian homotopy method for the regularization of total variation denoising problems
• Computable a Posteriori $L_\infty $-Error Bounds for the Approximate Solution of Two-Point Boundary Value Problems
• Numerical Optimization
• Analysis of bounded variation penalty methods for ill-posed problems
• Convergence of an Iterative Method for Total Variation Denoising
• A Variational Method in Image Recovery
• Analysis of regularized total variation penalty methods for denoising
• Optimal Error Bounds for the Newton–Kantorovich Theorem
• Kantorovich Estimates for Some Convex Programs
• Iterative Methods for Total Variation Denoising
• A study in the BV space of a denoising-deblurring variational problem

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