An improved rendering technique for ray tracing Bézier and B-spline surfaces

Shyue Wu Wang, Zen-Chung Shih*, Ruei Chuan Chang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Both numerical and subdivision methods are widely used approaches for ray tracing parametric surfaces. However, the expense of finding the ray-surface intersection points is a major drawback. Thus, simpler and less memory-intensive strategies are needed to improve these methods without further complicating them. This work presents an efficient algorithm for enhancing the performance of both numerical and subdivision methods. The proposed technique can be extended to most applications based on these two methods. The computational time of both approaches is improved by 16-40%.

Original languageEnglish
Pages (from-to)209-219
Number of pages11
JournalJournal of Visualization and Computer Animation
Issue number4
StatePublished - Sep 2000


  • Bézier clipping
  • Bézier surfaces
  • Newton's method
  • Parametric surfaces
  • Ray tracing

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