Non-local Functionals Related to the Total Variation and Connections with Image Processing

Author:

Brezis Haïm,Nguyen Hoai-Minh

Funder

Division of Mathematical Sciences

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,General Physics and Astronomy,Mathematical Physics,Analysis

Reference58 articles.

1. Allaire, G.: Numerical Analysis and Optimization: An Introduction to Mathematical Modelling and Numerical Simulation. Oxford University Press, Oxford (2007)

2. Ambrosio, L., Bourgain, J., Brezis, H., Figalli, A.: Perimeter of sets and BMO-type norms. C. R. Acad. Sc. Paris 352, 697–698 (2014)

3. Ambrosio, L., Bourgain, J., Brezis, H., Figalli, A.: BMO-type norms related to the perimeter of sets. Commun. Pure Appl. Math. 69, 1062–1086 (2016)

4. Ambrosio, L., De Philippis, G., Martinazzi, L.: Gamma-convergence of nonlocal perimeter functionals. Manuscr. Math. 134, 377–403 (2011)

5. Antonucci, C., Gobbino, M., Migliorini, M., Picenni, N.: Optimal constants for a non-local approximation of Sobolev norms and total variation. Preprint (2017). arXiv:1708.01231

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