Perona-Malik equation and its numerical properties
For researchers in image processing, this provides a consolidated overview of known theory and numerical methods, but is incremental as it does not introduce new results or improvements.
This paper surveys theoretical results on the Perona-Malik equation for image processing and analyzes its discretizations, presenting numerical experiments on real images. No concrete performance numbers are reported.
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.