The radius of attraction for Newton's method and TV-minimization image denoising

DOI10.1016/j.aml.2012.07.016zbMath1252.65107OpenAlexW1980978100MaRDI QIDQ714612

D. Kharzeev

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.07.016

zbMATH Keywords

Newton's methodconstrained optimizationtotal variation minimizationfixed point iterationimage denoisingradius of convergenceradius of attraction

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• On the Kantorovich theorem and the regularization of total variation denoising problems
• Estimating the radius of an attraction ball
• 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
• A Variational Method in Image Recovery
• Analysis of regularized total variation penalty methods for denoising
• Iterative Solution of Nonlinear Equations in Several Variables
• A study in the BV space of a denoising-deblurring variational problem

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