On the solvability in Sobolev spaces and related regularity results for a variant of the TV-image recovery model: the vector-valued case
DOI10.1007/BF03377408zbMath1382.49044arXiv1803.09983OpenAlexW3105046361MaRDI QIDQ1691851
C. Tietz, J.-S. Müller, Fuchs, Martin, Michael Bildhauer
Publication date: 25 January 2018
Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.09983
TV-regularizationvariational problems of linear growthdenoising and inpainting of multicolor imagesexistence of solutions in Sobolev spaces
Image analysis in multivariate analysis (62H35) Regularity of solutions in optimal control (49N60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Optimality conditions for problems in abstract spaces (49K27)
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Cites Work
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- Nonlinear total variation based noise removal algorithms
- 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
- Existence of generalized minimizers and dual solutions for a class of variational problems with linear growth related to image recovery
- Convex functionals and partial regularity
- Convex variational problems. Linear, nearly linear and anisotropic growth conditions
- A variational approach to the denoising of images based on different variants of the TV-regularization
- On some perturbations of the total variation image inpainting method. I: Regularity theory
- On some perturbations of the total variation image inpainting method. II: Relaxation and dual variational formulation
- $C^{1,\alpha }$-interior regularity for minimizers of a class of variational problems with linear growth related to image inpainting
- Signal recovery via TV-type energies
- Partial regularity for degenerate variational problems and image restoration models in BV
