Algebraic reconstruction technique combined with Monte Carlo method for weight matrix calculation in gamma ray transmission tomography

In the present work, the algebraic reconstruction technique (ART) combined with Monte Carlo method has been proposed for image reconstruction in gamma ray transmission tomography, which is generally used for the nondestructive assay of special nuclear materials. The Monte Carlo method has been explored to generate the weight matrix, which is required for executing ART algorithm. The method has been successfully demonstrated using a two-dimensional tomographic set-up with circular sample. The advantage of the method is that it is generalized, with no assumptions regarding weight matrices and is easily extendable to three dimensional systems, where other classical approaches become cumbersome. Moreover, the method is computationally simple and less time consuming unlike full scale Monte Carlo simulations.