Local Reconstructions in Exponential TomographyU

In this paper, pseudolocal and local approaches to the tomographic reconstruction of discontinuities of an unknown function f from its exponential Radon transform data g u , p.are developed. A function f is supposed to be piecewise- continuous and compactly supported. A pseudolocal tomography function fd x. is introduced and it is proved that the difference fyfd is continuous. Therefore, locations and values of jumps of f can be recovered from fd, the computation of which is pseudolocal: for the reconstruction of fd at a point x one needs to know g u , p.only for u , p.satisfying