\((\mathrm{BV},L^p)\)-decomposition, \(p = 1,2\), of functions in metric random walk spaces
DOI10.1515/acv-2020-0011zbMath1493.05276arXiv1907.10650OpenAlexW3107504508MaRDI QIDQ2156037
Julián Toledo, Marcos Solera, José M. Mazón Ruiz
Publication date: 15 July 2022
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.10650
random walknonlocal operatorsmultiscale decompositiontotal variation flowROF-modelweighted discrete graph
Random graphs (graph-theoretic aspects) (05C80) Functions of bounded variation, generalizations (26A45) Signed and weighted graphs (05C22) Random walks on graphs (05C81) Flows in graphs (05C21) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Eigenvalue problems for integral equations (45C99)
Cites Work
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- Nonlinear total variation based noise removal algorithms
- Continuum limit of total variation on point clouds
- Nonlinear multilayered representation of graph-signals
- Local and nonlocal discrete regularization on weighted graphs for image and mesh processing
- Multiscale hierarchical decomposition of images with applications to deblurring, denoising, and segmentation
- Ricci curvature of Markov chains on metric spaces
- Digital picture processing. An introduction. Transl. from the Russian
- Image recovery via total variation minimization and related problems
- Parabolic quasilinear equations minimizing linear growth functionals
- Markov chains and invariant probabilities
- Minimizing total variation flow
- Mean curvature, threshold dynamics, and phase field theory on finite graphs
- The heat flow on metric random walk spaces
- The total variation flow in metric random walk spaces
- Nonlocal perimeter, curvature and minimal surfaces for measurable sets
- Consistency of Cheeger and Ratio Graph Cuts
- Integro-Differential Equations Based on $(BV, L^1)$ Image Decomposition
- Nonlocal Operators with Applications to Image Processing
- Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models
- Spectrum of the 1-Laplacian and Cheeger's Constant on Graphs
- The TVL1 Model: A Geometric Point of View
- Digital filters as absolute norm regularizers
- Markov Chains
- Partial Difference Operators on Weighted Graphs for Image Processing on Surfaces and Point Clouds
- Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
- A Multiscale Image Representation Using Hierarchical (BV,L2) Decompositions
- Aspects of Total Variation RegularizedL1Function Approximation
- The Total Variation Regularized $L^1$ Model for Multiscale Decomposition
- Deblurring and Denoising of Images by Nonlocal Functionals
- A Review of Image Denoising Algorithms, with a New One
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