Infimal convolution regularisation functionals of BV and \(\mathrm{L}^p\) spaces. I: The finite \(p\) case
DOI10.1007/s10851-015-0624-6zbMath1342.49014arXiv1504.01956OpenAlexW2254661996WikidataQ42421072 ScholiaQ42421072MaRDI QIDQ294403
Carola-Bibiane Schönlieb, Evangelos Papoutsellis, Martin Burger, Konstantinos Papafitsoros
Publication date: 16 June 2016
Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.01956
staircasingimage denoisingimage decompositiontotal variation distance\(\mathrm {L}^{p}\)-normsinfimal convolutionregularization functionals
Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- A study of the one dimensional total generalised variation regularisation problem
- Infimal convolution regularisation functionals of BV and \(\mathrm{L}^p\) spaces. I: The finite \(p\) case
- A second-order model for image denoising
- Properties of \(L^{1}-TGV^{2}\) : The one-dimensional case
- Image recovery via total variation minimization and related problems
- Robust regression: Asymptotics, conjectures and Monte Carlo
- A first-order primal-dual algorithm for convex problems with applications to imaging
- Higher-order TV methods -- enhancement via Bregman iteration
- A combined first and second order variational approach for image reconstruction
- Image recovery using functions of bounded variation and Sobolev spaces of negative differentiability
- Iterative image restoration combining total variation minimization and a second-order functional
- A sequential updating scheme of the Lagrange multiplier for separable convex programming
- The Split Bregman Method for L1-Regularized Problems
- Asymptotic Behaviour of Total Generalised Variation
- On Full Jacobian Decomposition of the Augmented Lagrangian Method for Separable Convex Programming
- Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time
- High-Order Total Variation-Based Image Restoration
- Structural Properties of Solutions to Total Variation Regularization Problems
- Iterative Methods for Total Variation Denoising
- A Guide to the TV Zoo
- Discrete Inverse Problems
- Hessian-Based Norm Regularization for Image Restoration With Biomedical Applications
- An Infeasible Primal-Dual Algorithm for Total Bounded Variation--Based Inf-Convolution-Type Image Restoration
- An Iterative Regularization Method for Total Variation-Based Image Restoration
- Total Generalized Variation
- A study in the BV space of a denoising-deblurring variational problem
- The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent