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New approximations of the total variation and filters in Imaging
Journal article

New approximations of the total variation and filters in Imaging

Haim Brezis
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Vol.26(2), pp.223-240
2015
DOI: https://doi.org/10.4171/RLM/704

Abstract

Functional analysis Partial differential equations Real functions
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.

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