Image edge extraction based on fuzzy theory and Sobel operator

Image edge detection is a hot topic in the study of image processing and computer vision. Accurate edge information is helpful to the study of high-level image features. However, the image edge information is vague and uncertain. Fuzzy theory is expressed with the imprecise knowledge, and it is one of the effective methods to solve the problem with fuzzy phenomenon. The fuzzy theory and Sobel operator are combined in this research, and the main idea of the method is summarized as three steps, firstly, the image's gray matrix is converted into fuzzy feature matrix. Secondly, edge information is extruded by fuzzy enhancement. Finally, the image edge is detected by Sobel operator. The method of extracting image's edge with fuzzy theory has low computational complexity and simple procedure and precise edge information.