\(L^{1}\mathrm{TV}\) computes the flat norm for boundaries

DOI10.1155/2007/45153zbMath1145.49028arXivmath/0612287OpenAlexW3099773806MaRDI QIDQ2472087

Simon P. Morgan, Kevin R. Vixie

Publication date: 20 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0612287

zbMATH Keywords

geometric measure theoryoptimal decompositionRudin-Osher-Fatemi total variation

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (2)

Anisotropic variation formulas for imaging applications ⋮ A Guide to the TV Zoo

Cites Work

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• Nonlinear total variation based noise removal algorithms
• Minimizers of Cost-Functions Involving Nonsmooth Data-Fidelity Terms. Application to the Processing of Outliers
• Aspects of Total Variation RegularizedL¹Function Approximation
• Variational, Geometric, and Level Set Methods in Computer Vision

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