This paper researched the relation between bend multi-branch tree of curve and multi-scale map representation based on bends as a basic structure unit of curve,and proposed the model of multi-branch tree of bend for curve shape,which was based on bend binary tree,whose defects had been pointed out.Furthermore,it brought up a generalization strategy for curve multi-branch tree of bend.The experimental results that the model is used in contour simplification show the algorithm proves very effective in the aspects of holdi...