  The translation of an early (1958), Russian article by B. I. Korenblum, S. I.
Tetelbaum and A. A. Tyutin on the development of x-ray computed tomography is
provided. A new method to acquire cross-sectional x-ray images is studied which
is based on processing information contained in an x-ray sinogram recorded at
varying angles of an object. A derivation of the respective integral equation
and its solution are given as well as a functional scheme of a computing and
television screen-based device enabling to acquire a selected cross-sectional
x-ray images of the object.
