A variational approach to the denoising of images based on different variants of the TV-regularization
From MaRDI portal
Publication:1935505
DOI10.1007/s00245-012-9174-0zbMath1260.49074OpenAlexW2073426290MaRDI QIDQ1935505
Michael Bildhauer, Fuchs, Martin
Publication date: 18 February 2013
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-012-9174-0
image recoveryfunctions of bounded variationsolution regularityvariational problems of linear growthvariational problems of nearly linear growth
Applications of optimal control and differential games (49N90) Regularity of solutions in optimal control (49N60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)
Related Items
Stability and experimental comparison of prototypical iterative schemes for total variation regularized problems ⋮ Signal recovery via TV-type energies ⋮ On the local boundedness of generalized minimizers of variational problems with linear growth ⋮ An alternative approach towards the higher order denoising of images. analytical aspects ⋮ A coupled variational problem of linear growth related to the denoising and inpainting of images ⋮ Alternating forward-backward splitting for linearly constrained optimization problems ⋮ 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 ⋮ An alternative variational framework for image denoising ⋮ 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 ⋮ Existence results for denoising problems with generalized edge-enhancing diffusion ⋮ Some geometric properties of nonparametric \(\mu\)-surfaces in \(\mathbb{R}^3\) ⋮ The Neumann problem for one-dimensional parabolic equations with linear growth Lagrangian: evolution of singularities ⋮ On some perturbations of the total variation image inpainting method. II: Relaxation and dual variational formulation
Cites Work
- Nonlinear total variation based noise removal algorithms
- Regularity for solutions of the total variation denoising problem
- Image recovery via total variation minimization and related problems
- A regularity theory for variational integrals with \(L\ln L\)-growth
- Variational integrals on Orlicz-Sobolev spaces
- Two dimensional variational problems with linear growth
- Convex variational problems. Linear, nearly linear and anisotropic growth conditions
- Twodimensional anisotropic variational problems
- Variational methods for problems from plasticity theory and for generalized Newtonian fluids
- Elliptic partial differential equations of second order
- Steady states of anisotropic generalized Newtonian fluids
- Analysis of bounded variation penalty methods for ill-posed problems
- A Variational Method in Image Recovery
- A regularity result for stationary electrorheological fluids in two dimensions
- Aspects of Total Variation RegularizedL1Function Approximation
- Variable Exponent, Linear Growth Functionals in Image Restoration
- A study in the BV space of a denoising-deblurring variational problem
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item