Universitą degli studi di Modena e Reggio Emilia

Inverse problems occurs when one wants to retrieve information of unknown quantities by indirect observations. Typical pathologies affecting these problems are non-existence / non-uniqueness of solutions and numerical instability. The general way to recover a usable and meaningful approximation of the unknown object is by means of regularization methods, which exploit a priori information on the features characterizing the object itself.
A classic example of inverse problem is the image deconvolution, in which the measured image is a corrupted version of the real distribution due to the finiteness of the acquisition system and the presence of statistical noise on the data.