Abstract: Based on spatially-variant mathematical morphology,a new image edge detection method was proposed in this paper to meet needs of detecting binary image edge．The proposed method constructed by the spatially variant (SV) structuring elements can achieve good adaptive effectiveness and keep the edge smoothness in the binary image edge detection． The experimental results show that compared with the traditional edge detection operators,the algorithm has the following distinct advantages:good performance of anti-noise,better real-time performance,easy to implement and a certain practicality and feasibility.

Key words: Spatially-Variant structuring element,Mathematical morphology,Binary image,Edge detection