G1 continuous approximate curves on NURBS surfaces
- Resource Type
- Article
- Authors
- Yang, Yi-Jun; Zeng, Wei; Yang, Cheng-Lei; Meng, Xiang-Xu; Yong, Jun-Hai; Deng, Bailin
- Source
- Computer-Aided Design. Sep2012, Vol. 44 Issue 9, p824-834. 11p.
- Subject
- *APPROXIMATION theory
*PARABOLA
*COMPUTER-aided design
*HAUSDORFF measures
*ALGORITHMS
*MATHEMATICAL models
*GEOMETRY
*COMPUTER-aided engineering
- Language
- ISSN
- 0010-4485
Abstract: Curves on surfaces play an important role in computer aided geometric design. In this paper, we present a parabola approximation method based on the cubic reparameterization of rational Bézier surfaces, which generates G1 continuous approximate curves lying completely on the surfaces by using iso-parameter curves of the reparameterized surfaces. The Hausdorff distance between the approximate curve and the exact curve is controlled under the user-specified tolerance. Examples are given to show the performance of our algorithm. [Copyright &y& Elsevier]