Numerical assessment of the ROI CT problem in fan-beam geometries

We deal with some algorithms for solving the region-of-interest (ROI) problem in computed tomography. This is a challenging problem, currently receiving increasing attention due to the wide range of applications in biomedical imaging. We consider diferent regularization approaches, also based on shearlets, to solve the related optimization problem and we compare their pros and cons. The results of extensive numerical experiments on simulated as well as real data will give some assessments on the dependence of the inal reconstructions on the ROI size and position, in the case of fan-beam CT