Perona-Malik equation and its numerical properties
Numerical Analysis
2014-12-22 v1 Numerical Analysis
Abstract
This work concerns the Perona-Malik equation, which plays essential role in image processing. The first part gives a survey of results on existance, uniqueness and stability of solutions, the second part introduces discretisations of equation and deals with an analysis of discrete problem. In the last part I present some numerical results, in particular with algorithms applied to real images.
Keywords
Cite
@article{arxiv.1412.6291,
title = {Perona-Malik equation and its numerical properties},
author = {Maciek Wielgus},
journal= {arXiv preprint arXiv:1412.6291},
year = {2014}
}
Comments
My bachelor thesis, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, 2010