Multiscale hierarchical decomposition methods for ill-posed problems
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Publication:6087361
DOI10.1088/1361-6420/ad05dezbMath1526.94002arXiv2304.08332OpenAlexW4387868788MaRDI QIDQ6087361
Stefan Kindermann, Unnamed Author, Elena Resmerita
Publication date: 15 November 2023
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.08332
Probabilistic models, generic numerical methods in probability and statistics (65C20) Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)
Cites Work
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- Nonlinear total variation based noise removal algorithms
- Regularization of ill-posed linear equations by the non-stationary augmented Lagrangian method
- The total variation flow in \(\mathbb R^N\)
- Stable approximate evaluation of unbounded operators
- Multiscale hierarchical decomposition of images with applications to deblurring, denoising, and segmentation
- Variational methods in imaging
- Relaxed Lasso
- Nonstationary iterated Tikhonov regularization
- Parabolic quasilinear equations minimizing linear growth functionals
- A multiscale theory for image registration and nonlinear inverse problems
- On monotone and primal-dual active set schemes for \(\ell^p\)-type problems, \(p \in (0,1\)]
- Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow
- A characterization of convex calibrable sets in \(\mathbb R^N\)
- A first-order primal-dual algorithm for convex problems with applications to imaging
- Well-posedness and convergence rates for sparse regularization with sublinear \(l^q\) penalty term
- Proximal Splitting Methods in Signal Processing
- Hierarchical Construction of Bounded Solutions of div U=F in Critical Regularity Spaces
- Flexible sparse regularization
- Discretization of variational regularization in Banach spaces
- Variational Methods in Image Processing
- Discrete Total Variation: New Definition and Minimization
- Convergence Rates for Maximum Entropy Regularization
- Total Variation Regularization for Image Denoising, I. Geometric Theory
- Convergence rates and source conditions for Tikhonov regularization with sparsity constraints
- Joint additive Kullback–Leibler residual minimization and regularization for linear inverse problems
- Maximum entropy regularization of Fredholm integral equations of the first kind
- A Multiscale Image Representation Using Hierarchical (BV,L2) Decompositions
- MultiScale Approach for Two-Dimensional Diffeomorphic Image Registration
- A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
- An Iterative Regularization Method for Total Variation-Based Image Restoration
- Multiscale Hierarchical Image Decomposition and Refinements: Qualitative and Quantitative Results
- Convex analysis and monotone operator theory in Hilbert spaces