École Nationale Supérieure de
Techniques Avancées

Abstract

The objective of this internship is twofold. Initially, the goal is the implementation of a site specialized in the inventory of proximal operators, a practical optimization tool within the framework of non diferentiable functions. It was then necessary to code these functions in Matlab and implement the site in HTML so that they appear and are accessible to the user. Second, we apply proximal operators to the inverse problems of PET medical imaging (photon-emitting topography), involving a projection operator and a Poisson noise that strongly degrades the observed data. The aim of the internship in this second part is to implement several resolution algorithms and compare their effciency in time (speed of the algorithm) and image quality compared to an original image. In principal this part has an educational aim but it could eventually help the work of Claire Rossignole.