Basic conception and correlative properties of multiple order morphology transformation on grayscale image were introduced.The principle of edge detection using order morphological filtering was illustrated.The effect of structuring elements and percentile on edge detection was discussed.Based on the idea of multi-scale morophological filtering

three order morphological operations of edge detection were constructed by extending the basic morphological operations of edge detection to restrain noise.The specialities of the operations which were monotony about percentile(p

q) in the area of image edge were analysed in theory.Based on above

three general order morphological edge operations were constructed and their formats were given

in which multi-structuring elements were selected to match image edge according to geometrical feature of image and to remove noise in diffenent directions in the meanwhile.The rules of how to select structuring elements and percentile(p

q) of duplicate mixed order morphology transformation were studied.The experiments showed that the operations we presented were more effective than other classical and ordinary morphological operations of edge detection on noise restraining and retaining the image details.