The Generalized Form of Cassical Edge Detecting Masks

Edge detecting is the most important pre-processing in image analysis, feature extraction and recognition. Gradient is a basilic measure of edge images, and we can calculate the values of magnitude and rotation of edges with it. We analyse the first-order difference detectors first, such as Robert, Prewitt and Sobel detectors, then we analyse the Laplacian detector, that is a second-order difference one. A generalize mask is found based on the relationship of the classical edge detectors, and different value of its parameter is correspond to the detectors. The experiment show that the edges detected with the generalize mask are same to those detected with classical detectors, so the mask is reasonable.