Existence of generalized minimizers and dual solutions for a class of variational problems with linear growth related to image recovery

DOI10.1007/s10958-015-2575-2zbMath1331.49014OpenAlexW2231001043MaRDI QIDQ905251

C. Tietz, Fuchs, Martin

Publication date: 19 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2575-2

zbMATH Keywords

image recoveryvariational problemsfunctions of bounded variationdual solutionsgeneralized minimizers

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory (optimization) (49N15) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (10)

Signal recovery via TV-type energies ⋮ On the local boundedness of generalized minimizers of variational problems with linear growth ⋮ A coupled variational problem of linear growth related to the denoising and inpainting of images ⋮ On the solvability in Sobolev spaces and related regularity results for a variant of the TV-image recovery model: the vector-valued case ⋮ A remark on denoising of greyscale images using energy densities with varying growth rates ⋮ Denoising and inpainting of images using TV-type energies: theoretical and computational aspects ⋮ A higher order TV-type variational problem related to the denoising and inpainting of images ⋮ A density result for Sobolev functions and functions of higher order bounded variation with additional integrability constraints ⋮ Convex regularization of multi-channel images based on variants of the TV-model ⋮ Splitting-type variational problems with mixed linear-superlinear growth conditions

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