使用形态学的思想进行图像的边缘检测，提出了在一次形态处理中使用双结构元的一系列一般性形态边缘检测算子和抗噪型形态边缘检测算子的算法，并给出算子的性质。新算子在使用同一对结构元处理中既具有定位能力又具有细节保留功能，抗噪型算子能很好地检测出图像的单像素宽的边缘。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.