Translator Disclaimer
VOL. 67 | 2015 Anisotropic diffusions of image processing from Perona–Malik on
Patrick Guidotti

Editor(s) Luigi Ambrosio, Yoshikazu Giga, Piotr Rybka, Yoshihiro Tonegawa

Abstract

Many reasons can be cited for the desire to harness the power of nonlinear anisotropic diffusion in image processing. Perona and Malik proposed one of the pioneering models which, while numerically viable, proves mathematically ill-posed. This discrepancy between its analytical properties and those of its numerical implementations spurred a significant amount of research in the past twenty years or so. An overview of the latter is the topic of this article.

Information

Published: 1 January 2015
First available in Project Euclid: 19 October 2018

zbMATH: 1367.49007
MathSciNet: MR3587450

Digital Object Identifier: 10.2969/aspm/06710131

Subjects:
Primary: 35-02
Secondary: 35K55, 35K65

Rights: Copyright © 2015 Mathematical Society of Japan

PROCEEDINGS ARTICLE
26 PAGES


SHARE
Back to Top