Computer-aided tomography (CAT) is a method of laminar reconstruction of the structure of an inhomogeneous
and generally asymmetric three-dimensional object from a set of measured projections. Recently
CAT has been widely used, not only in medical diagnostics, where most brilliant and impressive results
have been achieved, but also in various areas in physics. Physical and technical applications of CAT are the
topic of the present review. The basic principles of tomography research are described, CAT problems are
classified from the point of view of integral geometry, and the main algorithms used in computational data
processing are briefly commented upon. Particular attention is devoted to possible CAT applications to
defectoscopy, microscopy, solid state physics, geophysics, Earth and planetary atmospheric physics, aeroand
hydrodynamics, and plasma physics. The main developmental directions of theoretical and technical
CAT in the near future are noted in conclusion.