Tomographic Reconstruction using Range Restricted GMRES

Abstract

This paper is concerned with the reconstruction of large ill determined and ill-posed problem using the iterative method. The ill-posed problems ascend from the discretization of ill-posed linear systems. The technique used in this work widely applicable to reconstruct the two-dimensional tomographic image. Reconstruction achieved after producing a right-hand side that can be done using any of the famous tomographic experimental arrangements (TDLAS, ECT, ultrasound, etc.). The problem discussed in this paper is with error contaminated right-hand side. The numerical solution of this matrix is fractionally complicated as the matrix is vast and ill-conditioned. Range-restricted GMRES (RRGMRES) used as regularization in this work. The iteration method is implemented using MATLAB to compute the inverse problem.