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In this paper, based on grey absolute degree of incidence and LOG operator, a new method of edge detection is put forward. First, LOG operator and grey degree values of nine nearby pixel are acted as referenced sequence and comparative sequence respectively. Moreover, they are processed and the grey absolute degree of incidence between them is calculated, and the edges of a image are detected based on the grey absolute degree of incidence. At last, the simulation is done and the results show that this method has a high precision in image detection, a better antimoise ability and improving image detection effect.