Investigation on Accelerated Ordered Subsets Image Reconstruction Techniques With Superiorization Methodology

Investigation on Accelerated Ordered Subsets Image Reconstruction Techniques With Superiorization Methodology Publisher

Mirzapour M^{1, 2} ; Rabbani H²

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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

Source: European Physical Journal Plus Published:2022

Abstract

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. © 2022, The Author(s), under exclusive licence to Societa Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.

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Hossein Rabbani (1)

Style	Citing Format
MLA	Mirzapour M, Rabbani H. "Investigation on Accelerated Ordered Subsets Image Reconstruction Techniques With Superiorization Methodology." European Physical Journal Plus, vol. 137, no. 7, 2022, pp. -.
APA	Mirzapour M, Rabbani H (2022). Investigation on Accelerated Ordered Subsets Image Reconstruction Techniques With Superiorization Methodology. European Physical Journal Plus, 137(7), -.
Chicago	Mirzapour M, Rabbani H. "Investigation on Accelerated Ordered Subsets Image Reconstruction Techniques With Superiorization Methodology." European Physical Journal Plus 137, no. 7 (2022): -.
Harvard	Mirzapour M, Rabbani H (2022) 'Investigation on Accelerated Ordered Subsets Image Reconstruction Techniques With Superiorization Methodology', European Physical Journal Plus, 137(7), pp. -.
Vancouver	Mirzapour M, Rabbani H. Investigation on Accelerated Ordered Subsets Image Reconstruction Techniques With Superiorization Methodology. European Physical Journal Plus. 2022;137(7):-.
BibTex	@article{ author = {Mirzapour M and Rabbani H}, title = {Investigation on Accelerated Ordered Subsets Image Reconstruction Techniques With Superiorization Methodology}, journal = {European Physical Journal Plus}, volume = {137}, number = {7}, pages = {-}, year = {2022} }
RIS	TY - JOUR AU - Mirzapour M AU - Rabbani H TI - Investigation on Accelerated Ordered Subsets Image Reconstruction Techniques With Superiorization Methodology JO - European Physical Journal Plus VL - 137 IS - 7 SP - EP - PY - 2022 ER -

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