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 T-G 1 continuous, where T is the user-specified angle tolerance. Examples are given to show the performance of our algorithm. © 2010 Elsevier Inc. All rights reserved.
Original language | English (US) |
---|---|
Pages (from-to) | 47-59 |
Number of pages | 13 |
Journal | Graphical Models |
Volume | 72 |
Issue number | 5 |
DOIs | |
State | Published - Sep 2010 |
ASJC Scopus subject areas
- Modeling and Simulation
- Geometry and Topology
- Computer Graphics and Computer-Aided Design
- Software