A new iterative method for a class of linear system arising from image restoration problems

In this paper, by utilizing the matrix properties arising from the image restoration model, a new iterative method for solving the corresponding augmented linear system is proposed. Theoretical results about the convergence properties and computational advantage of the new method are studied in deta...

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Autores principales:	Li-Dan Liao, Rui-Xia Li, Xiang Wang
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Image restoration Boundary conditions Iterative method Convergence Spectral properties Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/061ef15f6f104384b08872e76ccef61e
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id	oai:doaj.org-article:061ef15f6f104384b08872e76ccef61e
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spelling	oai:doaj.org-article:061ef15f6f104384b08872e76ccef61e2021-11-22T04:29:23ZA new iterative method for a class of linear system arising from image restoration problems2590-037410.1016/j.rinam.2021.100221https://doaj.org/article/061ef15f6f104384b08872e76ccef61e2021-11-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2590037421000534https://doaj.org/toc/2590-0374In this paper, by utilizing the matrix properties arising from the image restoration model, a new iterative method for solving the corresponding augmented linear system is proposed. Theoretical results about the convergence properties and computational advantage of the new method are studied in detail, showing that it just involves a matrix–vector product, which can be implemented by fast Fourier transform (FFT) or discrete Cosine transform (DCT) algorithms and can save much computation cost. Numerical experiments are provided, further confirm that our theoretical results is reliable and our method is feasible and effective.Li-Dan LiaoRui-Xia LiXiang WangElsevierarticleImage restorationBoundary conditionsIterative methodConvergenceSpectral propertiesMathematicsQA1-939ENResults in Applied Mathematics, Vol 12, Iss , Pp 100221- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Image restoration Boundary conditions Iterative method Convergence Spectral properties Mathematics QA1-939
spellingShingle	Image restoration Boundary conditions Iterative method Convergence Spectral properties Mathematics QA1-939 Li-Dan Liao Rui-Xia Li Xiang Wang A new iterative method for a class of linear system arising from image restoration problems
description	In this paper, by utilizing the matrix properties arising from the image restoration model, a new iterative method for solving the corresponding augmented linear system is proposed. Theoretical results about the convergence properties and computational advantage of the new method are studied in detail, showing that it just involves a matrix–vector product, which can be implemented by fast Fourier transform (FFT) or discrete Cosine transform (DCT) algorithms and can save much computation cost. Numerical experiments are provided, further confirm that our theoretical results is reliable and our method is feasible and effective.
format	article
author	Li-Dan Liao Rui-Xia Li Xiang Wang
author_facet	Li-Dan Liao Rui-Xia Li Xiang Wang
author_sort	Li-Dan Liao
title	A new iterative method for a class of linear system arising from image restoration problems
title_short	A new iterative method for a class of linear system arising from image restoration problems
title_full	A new iterative method for a class of linear system arising from image restoration problems
title_fullStr	A new iterative method for a class of linear system arising from image restoration problems
title_full_unstemmed	A new iterative method for a class of linear system arising from image restoration problems
title_sort	new iterative method for a class of linear system arising from image restoration problems
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/061ef15f6f104384b08872e76ccef61e
work_keys_str_mv	AT lidanliao anewiterativemethodforaclassoflinearsystemarisingfromimagerestorationproblems AT ruixiali anewiterativemethodforaclassoflinearsystemarisingfromimagerestorationproblems AT xiangwang anewiterativemethodforaclassoflinearsystemarisingfromimagerestorationproblems AT lidanliao newiterativemethodforaclassoflinearsystemarisingfromimagerestorationproblems AT ruixiali newiterativemethodforaclassoflinearsystemarisingfromimagerestorationproblems AT xiangwang newiterativemethodforaclassoflinearsystemarisingfromimagerestorationproblems
_version_	1718418142961598464

A new iterative method for a class of linear system arising from image restoration problems

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