Both numerical and subdivision methods are widely used approaches for ray t
racing parametric surfaces. However, the expense of finding the ray-surface
intersection points is a major drawback. Thus, simpler and less memory-int
ensive strategies are needed to improve these methods without further compl
icating them. This work presents an efficient algorithm for enhancing the p
erformance of both numerical and subdivision methods. The proposed techniqu
e can be extended to most applications based on these two methods. The comp
utational time of both approaches is improved by 16-40%. Copyright (C) 2000
John Wiley & Sons, Ltd.