The Exponential Radon Transform

Abstract

The exponential Radon transform, a generalization of the Radon transform, is defined and is studied as a mapping of function spaces. An inversion formula is derived. The exponential Radon transform is represented in terms of Fourier transforms of its domain and range, and this leads to a characterization of the range of the transform. The exponential Radon transform is a model for some reconstruction problems in radionuclide emission computer tomography.