Abstract: In the paper, we extend the definition of traditional image edge to morphology edge, derive a series of new morphological operators which are enlightened by semi-increasing and semi-continuation and first time bring forward double-structure element used in morphological processing at one time. These new morphological operators can resist noise and have good merit which not only have good location but keep image detail. Experiments have shown that better image edge detection results will be produced by these operators than otherwise by traditional methods, moreover, the edge thus detected is basically continuous with single-resolution-widths.