New approximations of the total variation and filters in Imaging

  • Haïm Brezis

    Rutgers University, Piscataway, United States

Abstract

In this paper I present several results concerning the approximation of the BV-norm by non-local functionals. Some of these functionals are convex, others are non-convex. The mode of convergence introduces mysterious novelties and numerous problems remain open. The original motivation comes from Image Processing.

Cite this article

Haïm Brezis, New approximations of the total variation and filters in Imaging. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 26 (2015), no. 2, pp. 223–240

DOI 10.4171/RLM/704