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Present edge detection algorithms are sensitive to noises, they may not get ideal effects on image edge detections and results in unclear image edges. To overcome these shortages, a new edge detection model based on the image edge detection method of Sobel operator and theory of fractional differential is proposed. Both theoretical researches and simulation results show that the new model can be used to extract more detail edge information than the classic method with a better anti-noise capability. It is an effective edge detection method.

A New Fractional Differential and Sobel Operator Based Edge Detection Method