To overcome the shortcoming in traditional edge detection, such as the losing of weak edges and the too rough
detected edges, a new edge detection method is proposed in this paper. The new algorithm is based on the Nilpotent
minimum fusion. First of all, based on the space fuzzy relation of weak edges, the algorithm makes decision fusion to
improve the structure of weak edges by using the Nilpotent minimum operator. Secondly, detect edges based on the
fusion results. As a result, the weak edges are detected. Experiments on a variety of weak edge images show that the new
algorithm can actually overcome the shortcoming in traditional edge detection, for the results are much better than
traditional methods. On one hand, some of the weak edges of complex images, such as medical images, are detected. On
the other hand, the edges detected by the new algorithm are thinner.