Piecewise Linear Approximation of the Continuous Rudin--Osher--Fatemi Model for Image Denoising

DOI10.1137/110854539zbMath1264.65096OpenAlexW1997003380MaRDI QIDQ4903765

Leopold Matamba Messi, Ming-Jun Lai

Publication date: 24 January 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/41562d72c89f86f25edd54d33082a7d909b0eef8

zbMATH Keywords

numerical examplesvariational methodsfinite difference methodsimage denoisingpolynomial interpolationtotal variation regularizationRudin-Osher-Fatemi model

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

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Singular solutions, graded meshes,and adaptivity for total-variation regularized minimization problems ⋮ A Uniform Preconditioner for a Newton Algorithm for Total Variation Minimization and Minimum-Surface Problems ⋮ Alternating forward-backward splitting for linearly constrained optimization problems ⋮ Crouzeix-Raviart approximation of the total variation on simplicial meshes ⋮ Approximating the total variation with finite differences or finite elements ⋮ Error estimates for total-variation regularized minimization problems with singular dual solutions

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