Stability and experimental comparison of prototypical iterative schemes for total variation regularized problems
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Publication:302250
DOI10.1515/cmam-2016-0014zbMath1342.65152OpenAlexW2340407535MaRDI QIDQ302250
Sören Bartels, Marijo Milicevic
Publication date: 5 July 2016
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/cmam-2016-0014
Numerical methods involving duality (49M29) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
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- Nonlinear total variation based noise removal algorithms
- Smooth minimization of non-smooth functions
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Augmented Lagrangian methods for transport optimization, mean field games and degenerate elliptic equations
- Functionals with linear growth defined on vector valued BV functions
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- On the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integrals
- Image recovery via total variation minimization and related problems
- Parabolic quasilinear equations minimizing linear growth functionals
- An algorithm for total variation minimization and applications
- A first-order primal-dual algorithm for convex problems with applications to imaging
- A variational approach to the denoising of images based on different variants of the TV-regularization
- Quasistatic damage evolution with spatial \(BV\)-regularization
- Image restoration with discrete constrained total variation. I: Fast and exact optimization
- Quasistatic evolution problems for linearly elastic-perfectly plastic materials
- Optimal Transport with Proximal Splitting
- Quasi-Static Small-Strain Plasticity in the Limit of Vanishing Hardening and Its Numerical Approximation
- Total Variation Minimization with Finite Elements: Convergence and Iterative Solution
- A duality-based approach to elliptic control problems in non-reflexive Banach spaces
- Error Bounds for Finite-Difference Methods for Rudin–Osher–Fatemi Image Smoothing
- A New Alternating Minimization Algorithm for Total Variation Image Reconstruction
- The Split Bregman Method for L1-Regularized Problems
- Variational Analysis in Sobolev andBVSpaces
- A BV functional and its relaxation for joint motion estimation and image sequence recovery
- Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models
- Applications of a Splitting Algorithm to Decomposition in Convex Programming and Variational Inequalities
- Monotone Operators and the Proximal Point Algorithm
- On the Convergence of the Lagged Diffusivity Fixed Point Method in Total Variation Image Restoration
- A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration
- Convergence of an Iterative Method for Total Variation Denoising
- Analysis of total variation flow and its finite element approximations
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- Broken Sobolev space iteration for total variation regularized minimization problems: Table 1.
- Total Bounded Variation Regularization as a Bilaterally Constrained Optimization Problem
- Iterative Methods for Total Variation Denoising
- Algebra für Einsteiger
- A remark on accelerated block coordinate descent for computing the proximity operators of a sum of convex functions
- Fast Alternating Direction Optimization Methods
- Numerical analysis of the TV regularization and H-1 fidelity model for decomposing an image into cartoon plus texture
- Discrete Total Variation Flows without Regularization
- Second-order Cone Programming Methods for Total Variation-Based Image Restoration
- Foundations of Optimization
- Introduction
- Semicontinuity problems in the calculus of variations
