Algorithm Design of Fuzzy Filter Based on Salt-and-Pepper Noise with High Probability in Image Restoration

WANG Gui-jun; YANG Yong-qiang

doi:10.3969/j.issn.0372-2112.2015.01.005

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Algorithm Design of Fuzzy Filter Based on Salt-and-Pepper Noise with High Probability in Image Restoration

更新时间：2025-07-16

- Algorithm Design of Fuzzy Filter Based on Salt-and-Pepper Noise with High Probability in Image Restoration
- Acta Electronica Sinica Vol. 43, Issue 1, Pages: 24-29(2015)
- 作者机构：
  
  天津师范大学数学科学学院,天津,300387
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61374009)
- DOI：10.3969/j.issn.0372-2112.2015.01.005
  CLC： TP183O159
- Published：2015
- 稿件说明：
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WANG Gui-jun, YANG Yong-qiang. Algorithm Design of Fuzzy Filter Based on Salt-and-Pepper Noise with High Probability in Image Restoration[J]. Acta Electronica Sinica, 2015, 43(1): 24-29.
DOI：

WANG Gui-jun, YANG Yong-qiang. Algorithm Design of Fuzzy Filter Based on Salt-and-Pepper Noise with High Probability in Image Restoration[J]. Acta Electronica Sinica, 2015, 43(1): 24-29. DOI： 10.3969/j.issn.0372-2112.2015.01.005.

摘要

高概率椒盐噪声对数字图像的重度污染大量存在

如要消除信息少且噪点集中的噪声存在诸多困难;而低概率椒盐噪声对数字图像的轻度污染虽然可完全滤除

但在实际图像恢复中又缺少普遍意义.本文基于灰度值空间的模糊划分和描述灰度水平的模糊数

采用极值法对高概率噪声实施检测并建立恰当滤波窗口

应用广义重心去模糊化法和非噪声点对应的隶属函数设计一种新模糊滤波器.最后

通过仿真实例获得该滤波器可有效地过滤数字图像中高概率椒盐噪声

并说明它的去噪性能优于其他常见滤波器.

Abstract

Severe pollution of salt-and-pepper noise with high probability in digital images is widespread

such as to eliminate less information and noisy noise has many difficulties.Although light pollution of salt-and-pepper noise with low probability in digital images can be completely removed

it lacks of universal sense in actual image restoration.In this paper

aimed at the fuzzy partition in the gray-value spaces and fuzzy numbers describing the gray-value level

the extreme value method is used to conduct the noise with the high probability test and establish the suitable filtering window.And then

applying the defuzzification method of center of generalized gravity and the membership functions corresponding to the non-noise points to design a kind of new filter.Finally

we obtain that the filter can effectively filter the salt and pepper noise with high probability in digital images by simulation example

and its denoising performance is superior to other common filters.

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