https://doi.org/10.1140/epjp/s13360-022-02964-5
Regular Article
Investigation on accelerated ordered subsets image reconstruction techniques with superiorization methodology
1
Department of Mathematics, Faculty of Sciences, Bu-Ali Sina University, Hamedan, Iran
2
Medical Image and Signal Processing Research Center, School of Advanced Technologies in Medicine, Medical Image and Signal Processing Research Center, Isfahan University of Medical Sciences, Isfahan, Iran
Received:
23
March
2022
Accepted:
16
June
2022
Published online:
8
July
2022
In this paper, we consider a perturbed (superiorized) version of ordered subsets simultaneous iterative reconstruction technique (OS-SIRT) aiming to find a superior solution to linear system of equations which is usually ill-conditioned and has noise in its right-hand side. Furthermore, to speed up the iterations, we apply a recently introduced generalized relaxation scheme and give a convergence analysis based on the algorithmic operators. The performance and computational gain of the proposed algorithm are illustrated by data generated by simulating a computed tomography problem.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
