This paper presents a new vertex-based binary shape coding scheme using one-dimensional vertex selection/encoding and vertex reordering. In compared with the conventional object-adaptive vertex encoding(OA VEL the extracted vertices are, firstly, classified into one-dimensional(lD) vertices and two-dimensional (2D) vertices in the proposed method. For lD vertices, new coding method proposed in this paper is performed. For 2D vertices, the vertex reordering and OA VE are carried out. Experimental results show that the proposed vertex-based coding scheme red.uces coding bits up to 12 % compared with the conventional one and its coding gain depends on the characteristics of contour.