An adaptive model combining a total variation filter and a fractional-order filter for image restoration

An adaptive model combining a total variation filter and a fractional-order filter for image restoration

In this paper, we propose a model that combines a total variation filter with a fractional-order filter, which can unite the advantages of the two filters, and has a remarkable effect in the protection of image edges and texture details; simultaneously, the proposed model can eliminate the staircase...

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Bibliographic Details
Main Authors: Yafeng Yang, Donghong Zhao
Format: Article
Language:English
Published: SAGE Publishing 2019-03-01
Series:Journal of Algorithms & Computational Technology
Online Access:https://doi.org/10.1177/1748301819833054
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spelling doaj-2efd050239794469865eb74c5a1d71b62020-11-25T04:10:41ZengSAGE PublishingJournal of Algorithms & Computational Technology1748-30262019-03-011310.1177/1748301819833054An adaptive model combining a total variation filter and a fractional-order filter for image restorationYafeng YangDonghong ZhaoIn this paper, we propose a model that combines a total variation filter with a fractional-order filter, which can unite the advantages of the two filters, and has a remarkable effect in the protection of image edges and texture details; simultaneously, the proposed model can eliminate the staircase effect. In addition, the model improves the PSNR compared with the total variation filter and the fractional-order filter when removing noise. Zhu and Chan presented the primal-dual hybrid gradient algorithm and proved that it is effective for the total variation filter. On the basis of their work, we employ the primal-dual hybrid gradient algorithm to solve the combined model in this article. The final experimental results show that the new model and algorithm are effective for image restoration.https://doi.org/10.1177/1748301819833054
collection DOAJ
language English
format Article
sources DOAJ
author Yafeng Yang
Donghong Zhao
spellingShingle Yafeng Yang
Donghong Zhao
An adaptive model combining a total variation filter and a fractional-order filter for image restoration
Journal of Algorithms & Computational Technology
author_facet Yafeng Yang
Donghong Zhao
author_sort Yafeng Yang
title An adaptive model combining a total variation filter and a fractional-order filter for image restoration
title_short An adaptive model combining a total variation filter and a fractional-order filter for image restoration
title_full An adaptive model combining a total variation filter and a fractional-order filter for image restoration
title_fullStr An adaptive model combining a total variation filter and a fractional-order filter for image restoration
title_full_unstemmed An adaptive model combining a total variation filter and a fractional-order filter for image restoration
title_sort adaptive model combining a total variation filter and a fractional-order filter for image restoration
publisher SAGE Publishing
series Journal of Algorithms & Computational Technology
issn 1748-3026
publishDate 2019-03-01
description In this paper, we propose a model that combines a total variation filter with a fractional-order filter, which can unite the advantages of the two filters, and has a remarkable effect in the protection of image edges and texture details; simultaneously, the proposed model can eliminate the staircase effect. In addition, the model improves the PSNR compared with the total variation filter and the fractional-order filter when removing noise. Zhu and Chan presented the primal-dual hybrid gradient algorithm and proved that it is effective for the total variation filter. On the basis of their work, we employ the primal-dual hybrid gradient algorithm to solve the combined model in this article. The final experimental results show that the new model and algorithm are effective for image restoration.
url https://doi.org/10.1177/1748301819833054
work_keys_str_mv AT yafengyang anadaptivemodelcombiningatotalvariationfilterandafractionalorderfilterforimagerestoration
AT donghongzhao anadaptivemodelcombiningatotalvariationfilterandafractionalorderfilterforimagerestoration
AT yafengyang adaptivemodelcombiningatotalvariationfilterandafractionalorderfilterforimagerestoration
AT donghongzhao adaptivemodelcombiningatotalvariationfilterandafractionalorderfilterforimagerestoration
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