This presentation is dedicated to a specific astronomical application, where some prior information on the image to reconstruct is available. Therefore, the initial blind deconvolu- tion problem can be divided into two different deconvolution sub-problems: (i) estimate the instrument PSF using the a priori information on the image and (ii) recover the pure image using the estimated PSF in (i). Assuming both the PSF and the image have a sparse wavelet representation, the two reconstruction sub-problems can be optimized by promoting a small L1 norm under a data fidelity constraint with the available observations. Moreover, in both sub-problem, the image to reconstruct represents an observation, which is always positive. Therefore, a positivity constraint is added to improve the stability. (slides) Last updated September 25, 2013, at 09:05 AM |