Analysis study of conjugate gradient method in image restoration problem / Mohammad Fariz Norsazali

The conjugate gradient (CG) method is one of the optimization methods. The CG methods are quite famous among researchers in previous studies where it is widely used due to unconstrained problem-solving. The major characteristic of the CG method is low memory requirement and strong local and global c...

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Main Author:	Norsazali, Mohammad Fariz
Format:	Thesis
Language:	English
Published:	2023
Subjects:	Analytical methods used in the solution of physical problems
Online Access:	https://ir.uitm.edu.my/id/eprint/96664/1/96664.pdf
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id	my-uitm-ir.96664
record_format	uketd_dc
spelling	my-uitm-ir.966642024-06-10T08:05:08Z Analysis study of conjugate gradient method in image restoration problem / Mohammad Fariz Norsazali 2023 Norsazali, Mohammad Fariz Analytical methods used in the solution of physical problems The conjugate gradient (CG) method is one of the optimization methods. The CG methods are quite famous among researchers in previous studies where it is widely used due to unconstrained problem-solving. The major characteristic of the CG method is low memory requirement and strong local and global convergence properties. CG method is widely used in various applicability in life problems. In this research, the CG method is applied to the image restoration problem in order to recover or improve the quality of a digital image that has been degraded, damaged, or corrupted. The PRP, HS and NMRI methods are compared under a strong Wolfe line search. The numerical result of number of iterations (NOI) and CPU times are assessed by the performance of each method. The chosen CG methods also are tested for applicability in image restoration problems. The Camera, Monarch and Cat images are chosen to be compared. Each method is compared based on CPU times, relative error and peak signal-to-noise ratio (PSNR). The PRP method gives the best result in terms of efficiency and robustness followed by NMRI and HS methods respectively. The HS method yields better results compared to PRP in image restoration problems but has slight differences while the NMRI method can only solve for cat image. As a conclusion, PRP is the best method in terms of robustness and efficiency and also for application in image restoration problems. 2023 Thesis https://ir.uitm.edu.my/id/eprint/96664/ https://ir.uitm.edu.my/id/eprint/96664/1/96664.pdf text en public degree Universiti Teknologi MARA, Terengganu College of Computing, Informatics and Mathematics Zull Pakkal, Norhaslinda
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Zull Pakkal, Norhaslinda
topic	Analytical methods used in the solution of physical problems
spellingShingle	Analytical methods used in the solution of physical problems Norsazali, Mohammad Fariz Analysis study of conjugate gradient method in image restoration problem / Mohammad Fariz Norsazali
description	The conjugate gradient (CG) method is one of the optimization methods. The CG methods are quite famous among researchers in previous studies where it is widely used due to unconstrained problem-solving. The major characteristic of the CG method is low memory requirement and strong local and global convergence properties. CG method is widely used in various applicability in life problems. In this research, the CG method is applied to the image restoration problem in order to recover or improve the quality of a digital image that has been degraded, damaged, or corrupted. The PRP, HS and NMRI methods are compared under a strong Wolfe line search. The numerical result of number of iterations (NOI) and CPU times are assessed by the performance of each method. The chosen CG methods also are tested for applicability in image restoration problems. The Camera, Monarch and Cat images are chosen to be compared. Each method is compared based on CPU times, relative error and peak signal-to-noise ratio (PSNR). The PRP method gives the best result in terms of efficiency and robustness followed by NMRI and HS methods respectively. The HS method yields better results compared to PRP in image restoration problems but has slight differences while the NMRI method can only solve for cat image. As a conclusion, PRP is the best method in terms of robustness and efficiency and also for application in image restoration problems.
format	Thesis
qualification_level	Bachelor degree
author	Norsazali, Mohammad Fariz
author_facet	Norsazali, Mohammad Fariz
author_sort	Norsazali, Mohammad Fariz
title	Analysis study of conjugate gradient method in image restoration problem / Mohammad Fariz Norsazali
title_short	Analysis study of conjugate gradient method in image restoration problem / Mohammad Fariz Norsazali
title_full	Analysis study of conjugate gradient method in image restoration problem / Mohammad Fariz Norsazali
title_fullStr	Analysis study of conjugate gradient method in image restoration problem / Mohammad Fariz Norsazali
title_full_unstemmed	Analysis study of conjugate gradient method in image restoration problem / Mohammad Fariz Norsazali
title_sort	analysis study of conjugate gradient method in image restoration problem / mohammad fariz norsazali
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2023
url	https://ir.uitm.edu.my/id/eprint/96664/1/96664.pdf
_version_	1804890002282250240

Analysis study of conjugate gradient method in image restoration problem / Mohammad Fariz Norsazali

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