A convergence proof for local mode filtering

In this paper, we present a convergence proof for an iterative procedure of local mode filtering. We formulate the local mode filtering as a quadratic optimization problem based on the Legendre transform of convex function, from which two closed-form expressions at each iteration step are derived fo...

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Autores principales:	Shuoyan Zhang, Kohei Inoue, Kenji Hara
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Local mode filter Legendre transform Convex function Information technology T58.5-58.64
Acceso en línea:	https://doaj.org/article/a6d33c738aac4c7593302bc89926981e
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id	oai:doaj.org-article:a6d33c738aac4c7593302bc89926981e
record_format	dspace
spelling	oai:doaj.org-article:a6d33c738aac4c7593302bc89926981e2021-11-30T04:16:36ZA convergence proof for local mode filtering2405-959510.1016/j.icte.2021.02.008https://doaj.org/article/a6d33c738aac4c7593302bc89926981e2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2405959521000321https://doaj.org/toc/2405-9595In this paper, we present a convergence proof for an iterative procedure of local mode filtering. We formulate the local mode filtering as a quadratic optimization problem based on the Legendre transform of convex function, from which two closed-form expressions at each iteration step are derived for variables to be optimized. Those analytical solutions ensure that the value of objective function increases monotonically with the progress of the iterative procedure. We also show experimental results using a grayscale image, which support our theoretical results practically.Shuoyan ZhangKohei InoueKenji HaraElsevierarticleLocal mode filterLegendre transformConvex functionInformation technologyT58.5-58.64ENICT Express, Vol 7, Iss 4, Pp 445-448 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Local mode filter Legendre transform Convex function Information technology T58.5-58.64
spellingShingle	Local mode filter Legendre transform Convex function Information technology T58.5-58.64 Shuoyan Zhang Kohei Inoue Kenji Hara A convergence proof for local mode filtering
description	In this paper, we present a convergence proof for an iterative procedure of local mode filtering. We formulate the local mode filtering as a quadratic optimization problem based on the Legendre transform of convex function, from which two closed-form expressions at each iteration step are derived for variables to be optimized. Those analytical solutions ensure that the value of objective function increases monotonically with the progress of the iterative procedure. We also show experimental results using a grayscale image, which support our theoretical results practically.
format	article
author	Shuoyan Zhang Kohei Inoue Kenji Hara
author_facet	Shuoyan Zhang Kohei Inoue Kenji Hara
author_sort	Shuoyan Zhang
title	A convergence proof for local mode filtering
title_short	A convergence proof for local mode filtering
title_full	A convergence proof for local mode filtering
title_fullStr	A convergence proof for local mode filtering
title_full_unstemmed	A convergence proof for local mode filtering
title_sort	convergence proof for local mode filtering
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/a6d33c738aac4c7593302bc89926981e
work_keys_str_mv	AT shuoyanzhang aconvergenceproofforlocalmodefiltering AT koheiinoue aconvergenceproofforlocalmodefiltering AT kenjihara aconvergenceproofforlocalmodefiltering AT shuoyanzhang convergenceproofforlocalmodefiltering AT koheiinoue convergenceproofforlocalmodefiltering AT kenjihara convergenceproofforlocalmodefiltering
_version_	1718406824413102080

A convergence proof for local mode filtering

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