Two subtle convex nonlocal approximations of the BV-norm
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Publication:272709
DOI10.1016/j.na.2016.02.005zbMath1344.49017OpenAlexW2294908884MaRDI QIDQ272709
Publication date: 20 April 2016
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2016.02.005
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- Estimates for the topological degree and related topics
- A new approach to Sobolev spaces and connections to \(\Gamma\)-convergence
- Some inequalities related to Sobolev norms
- \(\Gamma\)-convergence, Sobolev norms, and BV functions
- On a new class of functions related to VMO
- Characterization of Sobolev and BV spaces
- An introduction to \(\Gamma\)-convergence
- On an open question about functions of bounded variation.
- An estimate in the spirit of Poincaré's inequality
- Non-local functionals related to the total variation and connections with image processing
- New approximations of the total variation and filters in imaging
- Corrigendum to ``Characterization of Sobolev and \(BV\) spaces
- \(\Gamma \)-convergence and Sobolev norms
- Further characterizations of Sobolev spaces
- Some new characterizations of Sobolev spaces
- A new characterization of Sobolev spaces
- Nonlocal Operators with Applications to Image Processing
- Nonlocal Linear Image Regularization and Supervised Segmentation
- Can the Nonlocal Characterization of Sobolev Spaces by Bourgain et al. Be Useful for Solving Variational Problems?
- On the structure of the Sobolev space H1/2 with values into the circle
- Deblurring and Denoising of Images by Nonlocal Functionals
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