Local tomography for the limited-angle problem

Abstract

We investigate local tomography in the case of limited-angle data. The main theoretical tool is analysis of the singularities of pseudodifferential operators (PDO) acting on piecewise-smooth functions. Amplitudes of the PDO we consider are allowed to be nonsmooth in the dual variable ξ across the boundary of a wedge. Results of numerical simulation of limited-angle local tomography confirm basic theoretical conclusions. © 1997 Academic Press