This paper presents approaches of incorporating subdivision techniques in the rendering process for computer-generated line drawings. A new method for accelerating silhouette detection is introduced. This "silhouette propagation" method gains its strength from being intertwined with the 3D subdivision process. Another technique reduces the number of 3D subdivision steps necessary for high-quality renditions of line drawings. It is shown how, by using 2D subdivision on curves, the same line quality can be achieved that the computationally much more expensive 3D subdivision yields.