Report on the robust recovery of hyperspectral data

Report on the design of hyperspectral data recovery methods when the instrumental noise to be modeled is typical of optical systems. This includes shot noise as well as outliers or more generally sparse noise. In this task, the sparsity of the hyperspectral data to be retrieved will be enforced using standard signal representations such as wavelets. We will make use of recent advances in optimization - and more precisely proximal calculus - for the design of the recovery algorithm.