Abstract: This paper integrated the characteristics of the grey absolute relation with the advantages of the median filter to combine the pixels within the n×n template into two sequences, where n is an odd number that is greater than or equal to 3. Then, the characteristics of the grey absolute relation were used to determine the similarity between the two sequences. Finally, the degree of similarity was adopted to determine whether the current pixel is noise or not, and then the value of median filter was used to replace the noise one. The experimental results show that this algorithm has better filtering effect than the standard median filter method and other filtering methods while keepings more details of the original image.

Key words: relation coefficient, grey absolute relation, salt-and-pepper noise, median filter, image denoising

摘要： 综合灰色绝对关联度的特性和中值滤波的优点，将n×n(n为大于或等于3的奇数)模板中的像素组合成两组序列，利用绝对灰色关联度的特性分析这两组序列的相似程度，根据相似程度判断当前像素是否为噪声；然后对被判定为噪声的像素做中值滤波处理。实验结果表明，与标准中值滤波及其他一些滤波方法相比，该算法在较好保留原图像细节的基础上，具有更佳的滤波效果。

关键词: 关联系数, 灰色绝对关联度, 椒盐噪声, 中值滤波, 图像去噪