Abstract
In order to define consistent models and algorithms for image analysis, many topological representations of images have been proposed. Unfortunately the most generic ones are often not explicitly related, and properties exhibited on one representation are unknown for other representations. The aim of this paper is to show how two different topological representations of images, namely the order representation (developped by Bertrand et al.) and the complex representation using strong weak lighting functions (studied by Ayala et al.) may be related in such a way that the results and algorithms proved on one may be applied to the other and conversely.
Jacques-Olivier Lachaud
Professor of Computer Science
My research interests include digital geometry, geometry processing, image analysis, variational models and discrete calculus.