Radon Transforms for Vector Fields.
In the inversion in R 2 of the exponential Radon transform, a scalar function f is found from its integrals, with exponential weight functions, over lines. In this paper we demonstrate how to define two different kinds of exponential Radon transforms for vector fields in R 2 in a natural way. It is shown that having data from these exponential vectorial Radon transforms it is possible to reconstru