Gabor frames and topology-based strategies for astronomical images

Abstract

The topic of this paper is the description of procedures to remove the fringes from complicated astronomical data sets, where the interference pattern is not regular, combining topological and Gabor-based analysis. A first method is given and it involves two successive steps: first we perform an identification of the fringes using Gabor frames and latter we filter the connected components using computational topology methods. This is a new approach trying to get the benefit of filtering the harmonic representation by means of topological methods.