New fractional order differential based image edge detection operator
一种新的分数阶微分的图像边缘检测算子

To extract more accurate and subtle edge information, and also to obtain better anti-noise capability, this paper proposed a new fractional order differential based image edge detection operator. It derived the fractional order differential equation based on non-integer step according to the Riemann-Liouville definition, and used the method of Lagrange interpolation polynomial to get the gray value of non-integer step pixel. It constructed eight directions fractional order differential mask to realize image edge detection. The experimental results show that this method used more advantage of image autocorrelation so it can extract more detail edge information than the classic method of edge detection, also it has a better anti-noise capability.