Reducing Impulse Noise in Images Using an Improved Formula Conjugate Gradient Method

The conjugate formula's significance is frequently emphasised by conjugate gradient approaches. In this paper, a novel conjugate coefficient for the conjugate gradient technique is introduced using a quadratic model and conjugacy condition. This coefficient is used to address image restoration...

Full description

Saved in:
Bibliographic Details
Main Authors: Basim A. Hassan, Yousif Ali Mohammed
Format: Article
Language:English
Published: Salahaddin University-Erbil 2025-06-01
Series:Zanco Journal of Pure and Applied Sciences
Subjects:
Online Access:https://zancojournal.su.edu.krd/index.php/JPAS/article/view/3025
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850108677020712960
author Basim A. Hassan
Yousif Ali Mohammed
author_facet Basim A. Hassan
Yousif Ali Mohammed
author_sort Basim A. Hassan
collection DOAJ
description The conjugate formula's significance is frequently emphasised by conjugate gradient approaches. In this paper, a novel conjugate coefficient for the conjugate gradient technique is introduced using a quadratic model and conjugacy condition. This coefficient is used to address image restoration issues. The algorithms described in this study exhibit the essential descent property and global convergence. The new approach is far better, as shown by numerical experiments. It has been demonstrated that the innovative conjugate gradient strategy outperforms the conventional FR conjugate gradient method. The great improvement of the new method has been confirmed by numerical testing. It has been demonstrated that the novel conjugate gradient approach outperforms the widely used FR approach.  
format Article
id doaj-art-e5fca358a35a4e2e84dee334d8b0ff84
institution OA Journals
issn 2218-0230
2412-3986
language English
publishDate 2025-06-01
publisher Salahaddin University-Erbil
record_format Article
series Zanco Journal of Pure and Applied Sciences
spelling doaj-art-e5fca358a35a4e2e84dee334d8b0ff842025-08-20T02:38:18ZengSalahaddin University-ErbilZanco Journal of Pure and Applied Sciences2218-02302412-39862025-06-0137310.21271/ZJPAS.37.3.8Reducing Impulse Noise in Images Using an Improved Formula Conjugate Gradient MethodBasim A. Hassan0Yousif Ali Mohammed 1Department of Mathematics, College of Computers Sciences and Mathematics University of Mosul, Mosul 41002, IraqDepartment of Mathematics, College of Computers Sciences and Mathematics University of Mosul, Mosul 41002, Iraq The conjugate formula's significance is frequently emphasised by conjugate gradient approaches. In this paper, a novel conjugate coefficient for the conjugate gradient technique is introduced using a quadratic model and conjugacy condition. This coefficient is used to address image restoration issues. The algorithms described in this study exhibit the essential descent property and global convergence. The new approach is far better, as shown by numerical experiments. It has been demonstrated that the innovative conjugate gradient strategy outperforms the conventional FR conjugate gradient method. The great improvement of the new method has been confirmed by numerical testing. It has been demonstrated that the novel conjugate gradient approach outperforms the widely used FR approach.   https://zancojournal.su.edu.krd/index.php/JPAS/article/view/3025Conjugate Gradient methodConvergence propertyImpulse Noise Reduction from Images
spellingShingle Basim A. Hassan
Yousif Ali Mohammed
Reducing Impulse Noise in Images Using an Improved Formula Conjugate Gradient Method
Zanco Journal of Pure and Applied Sciences
Conjugate Gradient method
Convergence property
Impulse Noise Reduction from Images
title Reducing Impulse Noise in Images Using an Improved Formula Conjugate Gradient Method
title_full Reducing Impulse Noise in Images Using an Improved Formula Conjugate Gradient Method
title_fullStr Reducing Impulse Noise in Images Using an Improved Formula Conjugate Gradient Method
title_full_unstemmed Reducing Impulse Noise in Images Using an Improved Formula Conjugate Gradient Method
title_short Reducing Impulse Noise in Images Using an Improved Formula Conjugate Gradient Method
title_sort reducing impulse noise in images using an improved formula conjugate gradient method
topic Conjugate Gradient method
Convergence property
Impulse Noise Reduction from Images
url https://zancojournal.su.edu.krd/index.php/JPAS/article/view/3025
work_keys_str_mv AT basimahassan reducingimpulsenoiseinimagesusinganimprovedformulaconjugategradientmethod
AT yousifalimohammed reducingimpulsenoiseinimagesusinganimprovedformulaconjugategradientmethod