Array processing techniques and shape reconstruction in tomography

We consider the problem of the shape reconstruction of a compact object in X-ray tomography when the contour of the object is modeled by a polygon. The problem is then to estimate the vertices of that polygon from a limited number of projections. The main objectives of this paper are: (i) to show how this reconstruction problem becomes equivalent to a generic mathematical inversion problem which arises also in linear antenna array processing (AP); (ii) to evaluate the performance of the classical AP techniques to handle this reconstruction problem, and, (iii) to propose a new method based on Bayesian estimation approach for the resolution of this inverse problem