There are thin minimizers of the \(L^{1}TV\) functional

DOI10.1155/2012/930978zbMath1248.49013arXiv1206.4357OpenAlexW1998554416WikidataQ58697114 ScholiaQ58697114MaRDI QIDQ448862

Benjamin Van Dyke, Kevin R. Vixie

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.4357

zbMATH Keywords

\(1/\lambda\)-ballsglobal reachlocal reach

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Cites Work

• Total Variation Regularization for Image Denoising, II. Examples
• Total Variation Regularization for Image Denoising, III. Examples.
• Total Variation Regularization for Image Denoising, I. Geometric Theory
• Aspects of Total Variation RegularizedL¹Function Approximation
• The Total Variation Regularized $L^1$ Model for Multiscale Decomposition

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