Gray-scale image edge detection based on order morphology transformation

This paper constructs three edge detection operations after studying the order morphological transformation deeply. The specialities of this operations and choices of the structure element are analyzed, so a new multi-scale and multi-structuring edge detection operations based on the three former operations are proposed. The operations can obtain clear and exact edge of the noisy images. By simulation and comparing with the Sobel, Canny and traditional order morphology operations, the operations are more effective on noise restraining and retaining the image details.