关键词: Sobel算子, 整数阶微分, 滤波器, 分数阶微分, 边缘检测

Abstract: In view of the problem that the traditional integer order differential image is blurred and affected by noise, the algorithm starts with the improvement of the traditional integer order differential Sobel operator. The fractional differential Sobel operator is derived with the fractional differential theory. The algorithm is combined with edge detection method of Sobel operator. The integer order differential Sobel operator is used as a filter and convolution operation with fractional order differential Sobel operator. The algorithm improves integer order differential Sobel operator. Fractional differential Sobel operator by integer order differential filtering solves the problems of low accuracy and poor noise resistance of the traditional edge detection operators successfully. Theoretical research and experimental results show that the edge detection operator is more precise and robust to image edge details, which is better than the commonly used integer order differential edge detection operator and the algorithm has good edge detection effect.

Key words: Sobel operator, integer differential, filter, fractional differential, edge detection