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In this paper, we consider problem of reconstructing a vector field in the unit disc by using the ray transform in a limited angular domain. We propose an approach to solving this problem. The approach is based on the Papoulis-Gerchberg algorithm. It is an iterative algorithm including iterations in the main space of vector fields and in the frequency domain. The results of numerical simulation are demonstrated.

An iterative algorithm for reconstructing a 2Dvector field by its limited-angle ray transform