| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 441961 | Graphical Models | 2010 | 13 Pages |
Abstract
Curves on surfaces play an important role in computer aided geometric design. In this paper, we present a hyperbola approximation method based on the quadratic reparameterization of Bézier surfaces, which generates reasonable low degree curves lying completely on the surfaces by using iso-parameter curves of the reparameterized surfaces. The Hausdorff distance between the projected curve and the original curve is controlled under the user-specified distance tolerance. The projected curve is εT–G1 continuous, where εT is the user-specified angle tolerance. Examples are given to show the performance of our algorithm.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Yi-Jun Yang, Wei Zeng, Hui Zhang, Jun-Hai Yong, Jean-Claude Paul,