Implementation and numerical evaluation for multiplicative algebraic reconstruction techniques

Abstract

Multiplicative algebraic reconstruction techniques (MART) is one of the method of projections onto convex sets (POCS) for solving a system of simultaneous equation. The image reconstruction problem can be discretized and depends on seeking the inverse of some matrix. We apply the MART to image reconstruction problems and evaluate the image quality in computer simulations. It is showed that the error decreases with increasing the number of projections and the number of iterations. It is also showed that the error decreases with increasing the value of initial data.