On some perturbations of the total variation image inpainting method. II: Relaxation and dual variational formulation

DOI10.1007/s10958-015-2237-4zbMath1321.49054OpenAlexW1964146224MaRDI QIDQ2356537

Michael Bildhauer, Fuchs, Martin

Publication date: 30 July 2015

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

Full work available at URL: https://doi.org/10.1007/s10958-015-2237-4

zbMATH Keywords

relaxationimage inpaintingdual variational formulationtotal variation method

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory (optimization) (49N15)

Related Items (14)

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 ⋮ Existence of generalized minimizers and dual solutions for a class of variational problems with linear growth related to image recovery ⋮ A remark on denoising of greyscale images using energy densities with varying growth rates ⋮ Image inpainting with energies of linear growth. A collection of proposals ⋮ 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 ⋮ On some perturbations of the total variation image inpainting method. I: Regularity theory ⋮ Convex regularization of multi-channel images based on variants of the TV-model ⋮ Iterative TV-regularization of grey-scale images ⋮ $C^{1,\alpha }$-interior regularity for minimizers of a class of variational problems with linear growth related to image inpainting ⋮ On some perturbations of the total variation image inpainting method. III: Minimization among sets with finite perimeter

Cites Work

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• On some perturbations of the total variation image inpainting method. I: Regularity theory
• Sublinear functions of measures and variational integrals
• Mathematical Models for Local Nontexture Inpaintings
• Cahn–Hilliard Inpainting and a Generalization for Grayvalue Images
• Euler's Elastica and Curvature-Based Inpainting
• On the Dirichlet problem for variational integrals in BV
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