Removal of Impulse Noise in Grayscale Images Under Fuzzy Knowledge Measure

GUO Kai-hong; CUI Ming-xi; LIU Ting-ting

doi:10.12263/DZXB.20220622

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Removal of Impulse Noise in Grayscale Images Under Fuzzy Knowledge Measure

PAPERS | 更新时间：2025-12-08

- Removal of Impulse Noise in Grayscale Images Under Fuzzy Knowledge Measure
- ACTA ELECTRONICA SINICA Vol. 51, Issue 11, Pages: 3248-3261(2023)
- 作者机构：
  
  辽宁大学信息学院，辽宁沈阳 110036
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China(71771110)
- DOI：10.12263/DZXB.20220622
  CLC： TP391.41;
- Received：31 May 2022，
  
  Revised：2022-11-10，
  
  Published：25 November 2023
- 稿件说明：
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郭凯红,崔明茜,刘婷婷.模糊知识测度下图像脉冲噪声去除方法[J].电子学报,2023,51(11):3248-3261.

GUO Kai-hong,CUI Ming-xi,LIU Ting-ting.Removal of Impulse Noise in Grayscale Images Under Fuzzy Knowledge Measure[J].ACTA ELECTRONICA SINICA,2023,51(11):3248-3261.
郭凯红,崔明茜,刘婷婷.模糊知识测度下图像脉冲噪声去除方法[J].电子学报,2023,51(11):3248-3261. DOI： 10.12263/DZXB.20220622.

GUO Kai-hong,CUI Ming-xi,LIU Ting-ting.Removal of Impulse Noise in Grayscale Images Under Fuzzy Knowledge Measure[J].ACTA ELECTRONICA SINICA,2023,51(11):3248-3261. DOI： 10.12263/DZXB.20220622.

摘要

针对图像脉冲噪声去除方法中噪声检测不准确、滤波效果不理想等问题，本文引入知识测度新理论，提出一种基于模糊知识量的图像去噪新方法.首先改进并简化模糊知识测度公理系统，据此提出一种新的模糊知识测度参数化模型；其次，利用所提模型计算分析噪声图中极值点与邻域像素的相似性特征及知识量差异，有效识别并区分脉冲噪声与普通极值像素；最后，提出最大平均关联知识量滤波算法实现图像去噪.对比实验针对标准数据集与测试图分别进行.实验结果表明，所提方法能够准确识别脉冲噪声，切实提高图像滤波质量，去噪结果主要指标及性能明显优于同类其他算法，较本文对比方法平均值，指标PSNR平均提升7.8%，SSIM平均提升10%.本文将知识测度新理论应用于图像去噪中并取得优良效果，为该理论在其他相关领域的创新应用开创了新例.

Abstract

Aiming at the problems of inaccurate noise detection and unsatisfactory filtering effect in image impulse noise removal methods

this paper introduces a new theory of knowledge measurement

and proposes a new method of image denoising based on fuzzy knowledge. Firstly

the fuzzy knowledge measurement axiom system is improved and simplified

and a new fuzzy knowledge measurement parameterized model is proposed based on this. Secondly

the proposed model is used to calculate and analyze the similarity characteristics and the differences in the amount of knowledge between extreme points and neighboring pixels in the noise image

and effectively identify and distinguish impulse noise from ordinary extreme pixels. Finally

a maximum average correlation knowledge filter algorithm is proposed to achieve image denoising. The comparison experiments are carried out on the standard data set and the test image respectively

and the experimental results show that the proposed method can accurately identify the impulse noise

effectively improve the image filtering quality

and the main indicators and performance of the denoising results are significantly better than other similar algorithms. Compared with the average value of the comparison method

the index PSNR has an average increase of 7.8%

and the SSIM has an average increase of 10%. This paper applies the new theory of knowledge measurement to image denoising for the first time and achieves excellent results

which creates a new example for the innovative application of this theory in other related fields.

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Keywords

references

NODES T , GALLAGHER N . Median filters: Some modifications and their properties [J ] . IEEE Transactions on Acoustics, Speech, and Signal Processing , 1982 , 30 ( 5 ): 739 - 746 .

张旭明 , 徐滨士 , 董世运 . 用于图像处理的自适应中值滤波 [J ] . 计算机辅助设计与图形学学报 , 2005 , 17 ( 2 ): 295 - 299 .

ZHANG X M , XU B S , DONG S Y . Adaptive Median filtering for image processing [J ] . Journal of Computer Aided Design & Computer Graphics , 2005 , 17 ( 2 ): 295 - 299 . (in Chinese)

ERKAN U , ENGINOĞLU S , THANH D N H , et al . Adaptive frequency median filter for the salt and pepper denoising problem [J ] . IET Image Processing , 2020 , 14 ( 7 ): 1291 - 1302 .

ERKAN U , GÖKREM L . A new method based on pixel density in salt and pepper noise removal [J ] . Turkish Journal of Electrical Engineering & Computer Sciences , 2018 , 26 : 162 - 171 .

ERKAN U , GÖKREM L , ENGINOĞLU S . Different applied median filter in salt and pepper noise [J ] . Computers & Electrical Engineering , 2018 , 70 : 789 - 798 .

THANH D N H , HIEN N N , KALAVATHI P , et al . Adaptive switching weight mean filter for salt and pepper image denoising [J ] . Procedia Computer Science , 2020 , 171 : 292 - 301 .

ERKAN U , THANH D N H , HIEU L M , et al . An iterative mean filter for image denoising [J ] . IEEE Access , 2019 , 7 : 167847 - 167859 .

ENGINOĞLU S , ERKAN U , MEMIŞ S . Pixel similarity-based adaptive Riesz mean filter for salt-and-pepper noise removal [J ] . Multimedia Tools and Applications , 2019 , 78 ( 24 ): 35401 - 35418 .

SATTI P , SHARMA N , GARG B . Min-max average pooling based filter for impulse noise removal [J ] . IEEE Signal Processing Letters , 2020 , 27 : 1475 - 1479 .

ZHANG W H , JIN L H , SONG E M , et al . Removal of impulse noise in color images based on convolutional neural network [J ] . Applied Soft Computing , 2019 , 82 : 105558 .

GEORGE G , OOMMEN R M , SHELLY S , et al . A survey on various median filtering techniques for removal of impulse noise from digital image [C ] // 2018 Conference on Emerging Devices and Smart Systems (ICEDSS) . Piscataway : IEEE , 2018 : 235 - 238 .

ZADEH L A . Fuzzy sets [J ] . Information and Control , 1965 , 8 ( 3 ): 338 - 353 .

万丰丰 , 周国民 , 周晓 . 一种去除椒盐噪声的自适应模糊中值滤波算法 [J ] . 浙江大学学报(理学版) , 2019 , 46 ( 4 ): 445 - 453 .

WAN F F , ZHOU G M , ZHOU X . An adaptive fuzzy median filtering algorithm for salt and pepper noise removal [J ] . Journal of Zhejiang University (Science Edition) , 2019 , 46 ( 4 ): 445 - 453 . (in Chinese)

王保平 , 范九伦 , 谢维信 . 基于模糊熵的多值图像恢复方法 [J ] . 西安电子科技大学学报 , 2004 , 31 ( 2 ): 214 - 217, 247 .

WANG B P , FAN J L , XIE W X . Fuzzy entropy-based method for multilevel image restoration [J ] . Journal of Xidian University , 2004 , 31 ( 2 ): 214 - 217, 247 . (in Chinese)

TOH K K V , MAT ISA N A . Noise adaptive fuzzy switching median filter for salt-and-pepper noise reduction [J ] . IEEE Signal Processing Letters , 2010 , 17 ( 3 ): 281 - 284 .

王芳 , 满益云 . 基于模糊中值滤波的椒盐噪声去除方法 [J ] . 模糊系统与数学 , 2012 , 26 ( 1 ): 166 - 174 .

WANG F , MAN Y Y . Salt-and-pepper noise removal based on fuzzy median filtering [J ] . Fuzzy Systems and Mathematics , 2012 , 26 ( 1 ): 166 - 174 . (in Chinese)

ANANTHI V P , BALASUBRAMANIAM P . A new image denoising method using interval-valued intuitionistic fuzzy sets for the removal of impulse noise [J ] . Signal Processing , 2016 , 121 : 81 - 93 .

ANANTHI V P , BALASUBRAMANIAM P , RAVEENDRAN P . Impulse noise detection technique based on fuzzy set [J ] . IET Signal Processing , 2018 , 12 ( 1 ): 12 - 21 .

黄朔 , 王琰 , 汪丽平 , 等 . 应用图像的方向局部直觉模糊熵的图像高频噪声去噪方法 [J ] . 中国医疗设备 , 2018 , 33 ( 10 ): 67 - 70, 82 .

HUANG S , WANG Y , WANG L P , et al . An image denoising method for high frequency noise using the directional local intuitionistic fuzzy entropy [J ] . China Medical Devices , 2018 , 33 ( 10 ): 67 - 70, 82 . (in Chinese)

CHEN W B , BAI J J , GU X H , et al . Separation-based model for low-dose CT image denoising [J ] . The Journal of Engineering , 2020 , 2020( 12 ): 1198 - 1208 .

SHANGGUAN H , ZHANG X , CUI X Y , et al . Sinogram restoration for low-dose X-ray computed tomography using regularized Perona-Malik equation with intuitionistic fuzzy entropy [J ] . Signal, Image and Video Processing , 2019 , 13 ( 8 ): 1511 - 1519 .

LV H , LI H J . Denoising method of low illumination underwater motion image based on improved canny [J ] . Microprocessors and Microsystems , 2021 , 82 : 103862 .

SZMIDT E , KACPRZYK J , BUJNOWSKI P . How to measure the amount of knowledge conveyed by Atanassov's intuitionistic fuzzy sets [J ] . Information Sciences , 2014 , 257 : 276 - 285 .

GUO K H , XU H . Knowledge measure for intuitionistic fuzzy sets with attitude towards non-specificity [J ] . International Journal of Machine Learning and Cybernetics , 2019 , 10 ( 7 ): 1657 - 1669 .

GUO K H , XU H . Preference and attitude in parameterized knowledge measure for decision making under uncertainty [J ] . Applied Intelligence , 2021 , 51 ( 10 ): 7484 - 7493 .

GUO K H , XU H . A unified framework for knowledge measure with application: From fuzzy sets through interval-valued intuitionistic fuzzy sets [J ] . Applied Soft Computing , 2021 , 109 : 107539 .

ATANASSOV K T . Intuitionistic fuzzy sets [J ] . Fuzzy Sets and Systems , 1986 , 20 ( 1 ): 87 - 96 .

SZMIDT E , KACPRZYK J . Entropy for intuitionistic fuzzy sets [J ] . Fuzzy Sets and Systems , 2001 , 118 ( 3 ): 467 - 477 .

GUO K H , SONG Q . On the entropy for Atanassov's intuitionistic fuzzy sets: An interpretation from the perspective of amount of knowledge [J ] . Applied Soft Computing , 2014 , 24 : 328 - 340 .

DAS S , DUTTA B , GUHA D . Weight computation of criteria in a decision-making problem by knowledge measure with intuitionistic fuzzy set and interval-valued intuitionistic fuzzy set [J ] . Soft Computing , 2016 , 20 ( 9 ): 3421 - 3442 .

HOANG N . A new knowledge-based measure for intuitionistic fuzzy sets and its application in multiple attribute group decision making [J ] . Expert Systems With Applications , 2015 , 42 ( 22 ): 8766 - 8774 .

HOANG N . A new interval-valued knowledge measure for interval-valued intuitionistic fuzzy sets and application in decision making [J ] . Expert Systems With Applications , 2016 , 56 : 143 - 155 .

GUO K H . Knowledge measure for atanassov's intuitionistic fuzzy sets [J ] . IEEE Transactions on Fuzzy Systems , 2016 , 24 ( 5 ): 1072 - 1078 .

GUO K H , ZANG J . Knowledge measure for interval-valued intuitionistic fuzzy sets and its application to decision making under uncertainty [J ] . Soft Computing , 2019 , 23 ( 16 ): 6967 - 6978 .

郭凯红 , 王紫晴 . Hamming-Hausdorff距离下区间直觉模糊知识测度及应用 [J ] . 软件学报 , 2022 , 33 ( 11 ): 4251 - 4267 .

GUO K H , WANG Z Q . Interval-valued intuitionistic fuzzy knowledge measure with applications based on Hamming-Hausdorff distance [J ] . Journal of Software , 2022 , 33 ( 11 ): 4251 - 4267 . (in Chinese)

SZMIDT E , KACPRZYK J . Distances between intuitionistic fuzzy sets [J ] . Fuzzy Sets and Systems , 2000 , 114 ( 3 ): 505 - 518 .

王紫晴 . 直觉模糊知识测度下图像模糊化及分割方法 [D ] . 沈阳 : 辽宁大学 , 2021 .

WANG Z Q . Image Fuzzification and Segmentation by Intuitionistic Fuzzy Knowledge Measure [D ] . Shenyang : Liaoning University , 2021 . (in Chinese)

WANG Z , BOVIK A C , SHEIKH H R , et al . Image quality assessment: From error visibility to structural similarity [J ] . IEEE Transactions on Image Processing , 2004 , 13 ( 4 ): 600 - 612 .

DJUROVIĆ I . Combination of the adaptive Kuwahara and BM3D filters for filtering mixed Gaussian and impulsive noise [J ] . Signal, Image and Video Processing , 2017 , 11 ( 4 ): 753 - 760 .

SHEIKH H R , BOVIK A C . Image information and visual quality [J ] . IEEE Transactions on Image Processing , 2006 , 15 ( 2 ): 430 - 444 .

SHEIKH H R , BOVIK A C , DE VECIANA G . An information fidelity criterion for image quality assessment using natural scene statistics [J ] . IEEE Transactions on Image Processing , 2005 , 14 ( 12 ): 2117 - 2128 .

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