Salt and Pepper Noise Removal Method Based on the Edge-Adaptive Total Variation Model

The traditional median filter can handle the image salt and pepper noise better. However, when the noise intensity is large, it is often necessary to enlarge the filter window to ensure the denoising effect, but the enlarged window may also cause excessive smoothing of the image, loss of texture det...

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Main Authors: Yunyun Jiang, Hefei Wang, Yi Cai, Bo Fu
Format: Article
Language:English
Published: Frontiers Media S.A. 2022-06-01
Series:Frontiers in Applied Mathematics and Statistics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fams.2022.918357/full
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author Yunyun Jiang
Hefei Wang
Yi Cai
Bo Fu
author_facet Yunyun Jiang
Hefei Wang
Yi Cai
Bo Fu
author_sort Yunyun Jiang
collection DOAJ
description The traditional median filter can handle the image salt and pepper noise better. However, when the noise intensity is large, it is often necessary to enlarge the filter window to ensure the denoising effect, but the enlarged window may also cause excessive smoothing of the image, loss of texture details, and blurred edges. In view of the strong edge preservation characteristics of variational model denoising, we propose a salt and pepper noise removal method based on the edge-adaptive total variational model. Firstly, the image is segmented into edge regions and non-edge regions by edge detection operators. Secondly, the salt and pepper noise of the image is processed using the median filter and adaptive total variation model, respectively. Lastly, the non-edge regions processed by the median filter and the edge regions processed by the adaptive total variation model are extracted for splicing. The experimental results show that the method cannot only effectively remove salt and pepper noise, but also effectively protect the main edge details of the image.
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spelling doaj.art-e385cfe9480142d69b41a7ca0f4d1a322022-12-22T03:26:12ZengFrontiers Media S.A.Frontiers in Applied Mathematics and Statistics2297-46872022-06-01810.3389/fams.2022.918357918357Salt and Pepper Noise Removal Method Based on the Edge-Adaptive Total Variation ModelYunyun JiangHefei WangYi CaiBo FuThe traditional median filter can handle the image salt and pepper noise better. However, when the noise intensity is large, it is often necessary to enlarge the filter window to ensure the denoising effect, but the enlarged window may also cause excessive smoothing of the image, loss of texture details, and blurred edges. In view of the strong edge preservation characteristics of variational model denoising, we propose a salt and pepper noise removal method based on the edge-adaptive total variational model. Firstly, the image is segmented into edge regions and non-edge regions by edge detection operators. Secondly, the salt and pepper noise of the image is processed using the median filter and adaptive total variation model, respectively. Lastly, the non-edge regions processed by the median filter and the edge regions processed by the adaptive total variation model are extracted for splicing. The experimental results show that the method cannot only effectively remove salt and pepper noise, but also effectively protect the main edge details of the image.https://www.frontiersin.org/articles/10.3389/fams.2022.918357/fullsalt and pepper noisemedian filteradaptive total variationedge detectionimage stitching
spellingShingle Yunyun Jiang
Hefei Wang
Yi Cai
Bo Fu
Salt and Pepper Noise Removal Method Based on the Edge-Adaptive Total Variation Model
Frontiers in Applied Mathematics and Statistics
salt and pepper noise
median filter
adaptive total variation
edge detection
image stitching
title Salt and Pepper Noise Removal Method Based on the Edge-Adaptive Total Variation Model
title_full Salt and Pepper Noise Removal Method Based on the Edge-Adaptive Total Variation Model
title_fullStr Salt and Pepper Noise Removal Method Based on the Edge-Adaptive Total Variation Model
title_full_unstemmed Salt and Pepper Noise Removal Method Based on the Edge-Adaptive Total Variation Model
title_short Salt and Pepper Noise Removal Method Based on the Edge-Adaptive Total Variation Model
title_sort salt and pepper noise removal method based on the edge adaptive total variation model
topic salt and pepper noise
median filter
adaptive total variation
edge detection
image stitching
url https://www.frontiersin.org/articles/10.3389/fams.2022.918357/full
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AT hefeiwang saltandpeppernoiseremovalmethodbasedontheedgeadaptivetotalvariationmodel
AT yicai saltandpeppernoiseremovalmethodbasedontheedgeadaptivetotalvariationmodel
AT bofu saltandpeppernoiseremovalmethodbasedontheedgeadaptivetotalvariationmodel