Centre de Mathématiques et de Leurs Applications

Orateur : Jean-Luc Starck (département d'astrophysique du CEA)

Titre : Compressed Sensing in Astronomy

Résumé :

We briefly review the concept of Compressed Sensing (CS), the new  
sampling theory, which is certainly one of the most important discovery
in data processing during the last ten years. Indeed, CS provides an  
alternative to the well-known Shannon sampling theory.
Then we will show how some problems in astronomy such interferometric  
image deconvolution or gammay ray image reconstruction
can be handled differently using CS.

Finally, we will show how CS could lead to an elegant and effective  
way to solve the problem ESA is faced with, for the transmission to
the earth of the data collected by PACS, one of the instruments  
onboard the Herschel spacecraft which will launched in  April 2009.
We show that CS enables to recover data with a spatial resolution  
enhanced up to 30% with similar sensitivity compared to the averaging  
technique proposed by ESA.