Abstract: Wireframe and shaded surfaces are often rendered together to reap the advantages of both methods. However, existing methods for such a combination can lead to edge stitching and/or draw edges of plygons that are behind other polygons; the Z-buffer comparison widely used in existing methods is not very suitable for the task. In this paper, a new method without a Z-buffer comparison is proposed. Using this proposed method, the correspondence between edges and polygons is examined and the occluding relation between polygons is used to decide if a pixel of an edge is to be drawn. Thus, the problems caused by Z-buffer comparisons are eliminated, and high-quality wireframe-overlayed shaded surfaces can be rendered.