Abstract: Quality and efficiency in basic linear drawing, comparative analysis of the five kinds of typical polyline tessellation and drawing methods are presented in this paper. On the basis of V tessellating, we propose a V-O tessellating and rendering method to improve the adaptability of the V triangulation decomposition to reduce the number of vertices, triangles and triangle strips. This method can support anti-aliasing color polyline, texture polyline, and the gradient polyline. Experimental results show that the proposed method is adaptable and performs well.