An effective weighted vector median filter for impulse noise reduction based on minimizing the degree of aggregation

Abstract Impulse noise is regarded as an outlier in the local window of an image. To detect noise, many proposed methods are based on aggregated distance, including spatially weighted aggregated distance, n nearest neighbour distance, local density, and angle‐weighted quaternion aggregated distance....

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Main Authors: Xiangxi Meng, Tongwei Lu, Feng Min, Tao Lu
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:IET Image Processing
Subjects:
Online Access:https://doi.org/10.1049/ipr2.12023
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author Xiangxi Meng
Tongwei Lu
Feng Min
Tao Lu
author_facet Xiangxi Meng
Tongwei Lu
Feng Min
Tao Lu
author_sort Xiangxi Meng
collection DOAJ
description Abstract Impulse noise is regarded as an outlier in the local window of an image. To detect noise, many proposed methods are based on aggregated distance, including spatially weighted aggregated distance, n nearest neighbour distance, local density, and angle‐weighted quaternion aggregated distance. However, these methods ignore the weight of each pixel or have limited adaptability. This study introduces the concept of degree of aggregation and proposes a weighting method to obtain the weight vector of the pixels by minimizing the degree of aggregation. The weight vector obtained gives larger components on the signal pixels than on the noisy pixels. Then it is fused with the aggregated distance to form a weighted aggregated distance that can reasonably characterise the noise and signal. The weighted aggregated distance, along with an adaptive segmentation method, can effectively detect the noise. To further enhance the effect of noise detection and removal, an adaptive selection strategy is incorporated to reduce the noise density in the local window. At last, noisy pixels detected are replaced with the weighted channel combination optimization values. The experimental results exhibit the validity of the proposed method by showing better performance in terms of both objective criteria and visual effects.
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spelling doaj.art-de768dc1dd794a5ea09ac65b93b5bdf02022-12-22T04:36:59ZengWileyIET Image Processing1751-96591751-96672021-01-0115122823810.1049/ipr2.12023An effective weighted vector median filter for impulse noise reduction based on minimizing the degree of aggregationXiangxi Meng0Tongwei Lu1Feng Min2Tao Lu3School of Computer Science and Engineering Wuhan Institute of Technology Wuhan ChinaHubei Key Laboratory of Intelligent Robot (Wuhan Institute of Technology) Wuhan ChinaSchool of Computer Science and Engineering Wuhan Institute of Technology Wuhan ChinaHubei Key Laboratory of Intelligent Robot (Wuhan Institute of Technology) Wuhan ChinaAbstract Impulse noise is regarded as an outlier in the local window of an image. To detect noise, many proposed methods are based on aggregated distance, including spatially weighted aggregated distance, n nearest neighbour distance, local density, and angle‐weighted quaternion aggregated distance. However, these methods ignore the weight of each pixel or have limited adaptability. This study introduces the concept of degree of aggregation and proposes a weighting method to obtain the weight vector of the pixels by minimizing the degree of aggregation. The weight vector obtained gives larger components on the signal pixels than on the noisy pixels. Then it is fused with the aggregated distance to form a weighted aggregated distance that can reasonably characterise the noise and signal. The weighted aggregated distance, along with an adaptive segmentation method, can effectively detect the noise. To further enhance the effect of noise detection and removal, an adaptive selection strategy is incorporated to reduce the noise density in the local window. At last, noisy pixels detected are replaced with the weighted channel combination optimization values. The experimental results exhibit the validity of the proposed method by showing better performance in terms of both objective criteria and visual effects.https://doi.org/10.1049/ipr2.12023AlgebraOptical, image and video signal processingFiltering methods in signal processingOptimisation techniquesComputer vision and image processing techniquesOptimisation techniques
spellingShingle Xiangxi Meng
Tongwei Lu
Feng Min
Tao Lu
An effective weighted vector median filter for impulse noise reduction based on minimizing the degree of aggregation
IET Image Processing
Algebra
Optical, image and video signal processing
Filtering methods in signal processing
Optimisation techniques
Computer vision and image processing techniques
Optimisation techniques
title An effective weighted vector median filter for impulse noise reduction based on minimizing the degree of aggregation
title_full An effective weighted vector median filter for impulse noise reduction based on minimizing the degree of aggregation
title_fullStr An effective weighted vector median filter for impulse noise reduction based on minimizing the degree of aggregation
title_full_unstemmed An effective weighted vector median filter for impulse noise reduction based on minimizing the degree of aggregation
title_short An effective weighted vector median filter for impulse noise reduction based on minimizing the degree of aggregation
title_sort effective weighted vector median filter for impulse noise reduction based on minimizing the degree of aggregation
topic Algebra
Optical, image and video signal processing
Filtering methods in signal processing
Optimisation techniques
Computer vision and image processing techniques
Optimisation techniques
url https://doi.org/10.1049/ipr2.12023
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