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Open Access Research Article

Impact to formula gradient impulse noise reduction from images

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* Corresponding author · click or hover a name for details

pp. 1635–1642Vol. 28Issue 4June 2025DOI: 10.47974/JIM-2187XML
Received:
15 Oct 2024
Published Online:
12 Jun 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2187
Pages:
1635–1642

Abstract

For the majority of image processing techniques and applications, denoising a photo is a must. The Taylor series is used to suggest a new conjugate gradient scalar. Together with the descent property, the novel formula satisfies the convergence properties. Lastly, we provide a few illustrations of picture restoration using the suggested conjugate gradient technique.

Keywords

Subject Classifications

90C3065K0549M37

References

[1] B. Abbas 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 (Mar. 2019). https://doi.org/10.11591/ijeecs.v13.i3.pp954-961.
[2] B. A. Hassan and H. Sadiq, “Efficient New Conjugate Gradient Methods for Removing Impulse Noise Images,” European Journal of Pure and Applied Mathematics, vol. 15, no. 4, pp. 2011-2021 (Oct. 2022). https://doi.org/10.29020/nybg.ejpam.v15i4.4568.
[3] B. A. Hassan and A. Ahmed A. Abdullah, “Improvement of conjugate gradient methods for removing impulse noise images,” Indonesian Journal of Electrical Engineering and Computer Science, vol. 29, no. 1, pp. 245-251 (Jan. 2022). https://doi.org/10.11591/ijeecs.v29.i1.pp245-251.
[4] B. A. Hassan, I. A. R. Moghrabi, and I. M. Sulaiman, “New conjugate gradient image processing methods,” Asian-European Journal of Mathematics, vol. 16, no. 06 (Jun. 2023). https://doi.org/10.1142/S1793557123500997.
[5] B. A. Hassan and H. A. Alashoor, “Pediment new parameters for a conjugate gradient method and using it in restoring distorted images,” in Proc. 8th Int. Conf. Contemporary Information Technology and Mathematics (ICCITM 2022), Mosul Univ., Mosul, Iraq, pp. 385–390 (2022).
[6] J. Nocedal and S. Wright, Numerical Optimization (Springer Series in Operations Research and Financial Engineering). 2006.
[7] Y. Dai, J. Han, G. Liu, D. Sun, H. Yin, and Y.-X. Yuan, “Convergence Properties of Nonlinear Conjugate Gradient Methods,” SIAM Journal on Optimization, vol. 10, no. 2, pp. 345-358 (Jan. 2000). https://doi.org/10.1137/S1052623494268443.
[8] X. Jiang and J. Jian, “A sufficient descent Dai-Yuan type nonlinear conjugate gradient method for unconstrained optimization problems,” Nonlinear Dyn, vol. 72, no. 1-2, pp. 101-112 (Apr. 2013). https://doi.org/10.1007/s11071-012-0694-6.
[9] G. Yu, J. Huang, and Y. Zhou, “A descent spectral conjugate gradient method for impulse noise removal,” Appl. Math. Lett., vol. 23, pp. 555–560 (2010).
[10] B. A. Hassan and H. A. Hassan, “Involving new coefficients conjugate gradient method for restoring distorted images,” in Proc. 8th Int. Conf. Contemporary Information Technology and Mathematics, Mosul Univ., Mosul, Iraq, pp. 380–384 (2022).
[11] R. Fletcher, “Function minimization by conjugate gradients,” Comput J, vol. 7, no. 2, pp. 149-154 (Feb. 1964). https://doi.org/10.1093/comjnl/7.2.149.
[12] G. Zoutendijk. “Nonlinear programming and undefined 1970, “Nonlinear programming, computational methods,” cir.nii.ac.jp, Accessed: Oct. 22 (2024). https://cir.nii.ac.jp/crid/1571980075701600256.
[13] B. A. Hassan and A. R. Ayoob, “An Adaptive Quasi-Newton Equation for Unconstrained Optimization,” in Proceedings of 2021 2nd Information Technology to Enhance E-Learning and other Application Conference, IT-ELA 2021 (2021). https://doi.org/10.1109/IT-ELA52201.2021.9773580.
[14] 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). https://doi.org/10.3934/naco.2019049.
[15] W. Gao, L. Shi, and M. R. Farahani, “Szeged Related Indices of TUAC6[p, q],” Journal of Discrete Mathematical Sciences and Cryptography, vol. 20, no. 2 (2017). https://doi.org/10.1080/09720529.2016.1228312.
[16] M. Imran, A. A. E. Abunamous, D. Adi, S. H. Rafique, A. Q. Baig, and M. R. Farahani, “Eccentricity based topological indices of honeycomb networks,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 22, no. 7 (2019). https://doi.org/10.1080/09720529.2019.1691326.
[17] A. H. Alwan, “Small intersection graph of subsemimodules of a semi¬module,” Commun. Combinatorics Cryptogr. Comput. Sci., vol. 2022, no. 1, pp. 15-22 (2022). 
[18] S. Ediz, M. Cancan, and M. R. Farahani, “Eccentric connectivity and connective eccentricity indices of generalized Petersen graphs,” Commun. Combinatorics Cryptogr. Comput. Sci., vol. 2021, no. 1, pp. 1-6 (2021). 
[19] R. Ponraj, S. Prabhu, and M. Sivakumar, “Pair mean cordial labeling of total graph of some graphs and prism-related graphs,” Commun. Combinatorics Cryptogr. Comput. Sci., vol. 2024, no. 2, pp. 181-192 (2024). 
[20] F. O. Oduol and I. O. Okoth, “Counting vertices among all noncrossing trees by levels and degrees,” Commun. Combinatorics Cryptogr. Comput. Sci., vol. 2024, no. 2, pp. 193-212 (2024).

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