一种基于均值滤波和梯度影响因子的滤波算法

Filtering Algorithm Based on Mean Filter and Gradient Influencing Factor

均值滤波采用邻域平均法对图像进行滤波,在降低噪声的同时破坏了图像的细节和边缘。针对这一问题提出了一种在均值滤波算法的基础上增加梯度影响因子的滤波算法,可实现在滤波的同时尽量保留图像的边缘,达到既减小图像噪声又保留边缘的目的。将梯度影响因子进行多项式展开可以降低程序的时间复杂度。通过实验对比表明,改进算法对图像细节和边缘有更好的保护,同时达到更好的滤波效果。

In the mean filtering,the neighborhood averaging method is used to filter the image.In this process,the noise is reduced,besides,the details and edges of the image are destroyed.For this,this paper proposes a filtering algorithm based on the mean filtering algorithm,which is used to increase the gradient influencing factor and retain the edge of the image in the filtering,thus reducing the image noise and retaining the edges.Polynomial expansion of the gradient influencing factors can be done,thus reducing the time and complexity of the program.By the experiment and comparison,it shows that the improved algorithm can be used to better protect the image details and edges and achieve better filtering effects.