Abstract: This paper introduces a new algorithm,the linear algebraic method,for reconstructing tomograms of tested objects with planar structure.A computer simulation for reconstru-cting a twolayered object by two projections has been done.For the case of limited angle,we apply a special pseudo-inverse filtering to the ill-posed problem in solving sets of linear algebraic simultaneous equations.Simulation result shows thai a ten-layered object can be reconstructed with only 19 projections having angles ranging from -8° to 8°.