The jump set under geometric regularisation. II: Higher-order approaches
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Publication:2627941
DOI10.1016/j.jmaa.2017.04.037zbMath1373.49055arXiv1407.2334OpenAlexW2396495741MaRDI QIDQ2627941
Publication date: 9 June 2017
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.2334
Variational problems in a geometric measure-theoretic setting (49Q20) Functions of bounded variation, generalizations (26A45) Linear operators and ill-posed problems, regularization (47A52)
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Cites Work
- Unnamed Item
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- A study of the one dimensional total generalised variation regularisation problem
- Symmetric tensor fields of bounded deformation
- Regularization of linear inverse problems with total generalized variation
- Fonctions à hessien borné
- Properties of \(L^{1}-TGV^{2}\) : The one-dimensional case
- Traces and fine properties of a \(BD\) class of vector fields and applications
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- Properties of higher order nonlinear diffusion filtering
- On approximate differentiability of functions with bounded deformation
- Image recovery via total variation minimization and related problems
- Fine properties of functions with bounded deformation
- Modeling textures with total variation minimization and oscillating patterns in image processing
- A new approach to counterexamples to \(L^1\) estimates: Korn's inequality, geometric rigidity, and regularity for gradients of separately convex functions
- Higher-order TV methods -- enhancement via Bregman iteration
- A combined first and second order variational approach for image reconstruction
- A superlinearly convergent \(R\)-regularized Newton scheme for variational models with concave sparsity-promoting priors
- Total Generalized Variation in Diffusion Tensor Imaging
- Nonconvex TV$^q$-Models in Image Restoration: Analysis and a Trust-Region Regularization--Based Superlinearly Convergent Solver
- Regularized Regression and Density Estimation based on Optimal Transport
- Limiting Aspects of Nonconvex ${TV}^{\phi}$ Models
- The Discontinuity Set of Solutions of the TV Denoising Problem and Some Extensions
- Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
- The TVL1 Model: A Geometric Point of View
- A Higher Order Model for Image Restoration: The One-Dimensional Case
- High-Order Total Variation-Based Image Restoration
- Low‐curvature image simplifiers: Global regularity of smooth solutions and Laplacian limiting schemes
- Euler's Elastica and Curvature-Based Inpainting
- Imaging with Kantorovich--Rubinstein Discrepancy
- The Jump Set under Geometric Regularization. Part 1: Basic Technique and First-Order Denoising
- Total Generalized Variation
- On Korn's inequality
