Neighborhood-Preserving Translations on Graphs [article]

Nicolas Grelier and Bastien Pasdeloup and Jean-Charles Vialatte and Vincent Gripon
2016 arXiv   pre-print
In many domains (e.g. Internet of Things, neuroimaging) signals are naturally supported on graphs. These graphs usually convey information on similarity between the values taken by the signal at the corresponding vertices. An interest of using graphs is that it allows to define ad hoc operators to perform signal processing. Among them, ones of paramount importance in many tasks are translations. In this paper we are interested in defining translations on graphs using a few simple properties.
more » ... ely we propose to define translations as functions from vertices to adjacent ones, that preserve neighborhood properties of the graph. We show that our definitions, contrary to other works on the subject, match usual translations on grid graphs.
arXiv:1606.02479v1 fatcat:jmwyoiwa6ngd7lrvamnaalnbka