TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

Optimizing conjugate gradient methods for removing noise in digital images

, *

* Corresponding author · click or hover a name for details

pp. 1017–1022Vol. 29Issue 4April 2026DOI: 10.47974/JIM-2565XML
Received:
01 Dec 2025
Published Online:
09 Apr 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2565
Pages:
1017–1022

Abstract

Utilizing strategies based on conjugate gradients and carefully choosing a suitable coefficient conjugate might lead to the production of exceptional outcomes. In this work, a modified version of the conjugate gradient algorithm reported by Hassan [1] is presented in order to establish that the new technique is globally convergent, under the usual assumptions. This study was carried out in order to verify that the new approach. Hideaki and Yasushi are the ones responsible for writing this article. In order to illustrate how successful the new method is, its performance is evaluated in terms of its capacity to eliminate impulsive noise from photographic images.

Keywords

Subject Classifications

90C3065K0549M37

References

[1] B. A. Hassan, “A new formula for conjugate parameter computation based on the quadratic model,” Indonesian Journal of Electrical Engineering and Computer Science, vol. 13, no. 3, pp. 954-961 (2019), doi: 10.11591/ijeecs.v13.i3.
[2] J. F. Cai, R. Chan, and B. Morini, “Minimization of an edge-preserving regularization functional by conjugate gradient type methods,” (2007), doi: 10.1007/978-3-540-33267-1_7.
[3] B. A. Hassan and R. M. Sulaiman, “A new class of self-scaling for quasi-Newton method based on the quadratic model,” Indonesian Journal of Electrical Engineering and Computer Science, vol. 21, no. 3, pp. 1830-1836 (2021), doi: 10.11591/ijeecs.v21.i3.
[4] J. Nocedal and S. Wright, Numerical Optimization, 2nd ed. New York, NY, USA: Springer (2006). [Online]. Available: https://link.springer.com/book/10.1007/978-0-387-40065-5
[5] B. A. Hassan, “A new type of quasi-Newton updating formulas based on the new quasi-Newton equation,” Numerical Algebra, Control and Optimization, vol. 10, no. 2 (2020), doi: 10.3934/naco.2019049.
[6] R. Fletcher and C. M. Reeves, “Function minimization by conjugate gradients,” The Computer Journal, vol. 7, no. 2, pp. 149–154 (1964), doi: 10.1093/comjnl/7.2.149.
[7] Y. H. Dai and Y. Yuan, “A nonlinear conjugate gradient method with a strong global convergence property,” SIAM Journal on Optimization, vol. 10, no. 1 (1999), doi: 10.1137/S1052623497318992.
[8] B. A. Hassan, K. Muangchoo, F. Alfarag, A. H. Ibrahim, and A. B. Abubakar, “An improved quasi-Newton equation on the quasi-Newton methods for unconstrained optimizations,” Indonesian J. of Electrical En. and Computer Science, vol. 22, no. 2, pp. 997-1005 (2021), doi: 10.11591/ijeecs.v22.i2.
[9] B. A. Hassan and A. A. Saad, “Explaining new parameters conjugate analysis based on the quadratic model,” Journal of Interdisciplinary Mathematics, vol. 26, no. 6 (2023), doi: 10.47974/JIM-1620.
[10] B. A. Hassan, “A modified quasi-Newton methods for unconstrained optimization,” Italian Journal of Pure and Applied Mathematics, no. 42, pp. 504-511 (2019).
[11] B. A. Hassan and H. A. Alashoor, “Pediment new parameters for a conjugate gradient method and using it in restoring distorted images,” in Proc. 2022 8th Int. Conf. Contemporary Information Technology and Mathematics (ICCITM) (2022), doi: 10.1109/ICCITM56309.2022.100318.

Views: 111Downloads: 69Citations: 0