@inbook{509ce4186043463bbe48ad267ace9193,
title = "Approximating the Total Variation with Finite Differences or Finite Elements",
abstract = "We present and compare various types of discretizations which have been proposed to approximate the total variation (mostly, of a gray-level image in two dimensions). We discuss the properties of finite differences and finite elements based approach and compare their merits, in particular in terms of error estimates and quality of the reconstruction.",
keywords = "error bounds, finite differences, finite elements, Image processing, numerical analysis, total variation",
author = "Antonin Chambolle and Thomas Pock",
year = "2021",
month = jan,
doi = "10.1016/bs.hna.2020.10.005",
language = "English",
isbn = "9780444643056",
series = "Handbook of Numerical Analysis",
pages = "383--417",
editor = "Andrea Bonito and Nochetto, {Ricardo H.}",
booktitle = "Handbook of Numerical Analysis",
}