分数阶零相位滤波器边缘检测方法

Fractional Zero Phase Filter Edge Detection Method

该文构造非因果分数阶积分算子,证明其在滤除图像噪声的同时可以更好地保留图像的边缘和纹理等细节信息,并构造非因果分数阶微分算子,证明其可以使图像边缘更加突出,同时保留图像平滑区域的纹理信息,奇异点定位准确。

This paper constructs a non-causal fractional integral operator and it is proved to retain the edge and the detail of the texture of the image.A non-causal fractional differential operator is also Iconstructed in this paper.We have proved that it can outstand the edge and retain the texture of smoothing area.It also makes the singular point be positioned accurately.