In this paper, some basic conceptions about morphology were discussed and defined. Definitions and implementing ways of adding-hull\|transformation, removing-skin-transformation and conglutination-transformation were presented; morphological features of adding-hull and removing-skin transformation, i.e. shape-alike, convex and concave features, and measurement features of bulge were argued; and morphological features of conglutination-transformation were demonstrated. Based on these, combining with the concept of convex-hull, we dissertated the principles to achieve the convex-hull of figure with morphological-transformation, and came up with the universal algorithm for it with a sample. Lastly we expatiated the steps and the algorithms in detail, discussed some theoretical issues in the implementation.