Abstract: This paper presents an effective approach for establishing vertex correspondence between two planar shapes.Correspondences were first established between the major feature points extracted from both simplified polygons of source and target shapes.We used the representation of the simplified polygons in the similar tangent space to construct a new similarity metric function by the fact that the corresponding edges transformed to each other with the minimum total amount of moving area.The resulting solution tended to associate regions on the two shapes which looked alike.Then the optimal correspondence was obtained by an efficient dynamic programming technique,meanwhile,we could attain the shape blending between the planar shapes using intrinsic method.Experimental results show that our method is fast,robust,and feature preserving.