G1 continuous approximate curves on NURBS surfaces

Yang, Yi-Jun, Zeng, Wei, Yang, Cheng-Lei, Meng, Xiang-Xu, Yong, Jun-Hai and Deng, Bailin ORCID: https://orcid.org/0000-0002-0158-7670 2012. G1 continuous approximate curves on NURBS surfaces. Computer-Aided Design 44 (9) , pp. 824-834. 10.1016/j.cad.2012.04.004

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Uncontrolled Keywords:	Approximation; Curves on surfaces; Reparameterization; Parabola
Publisher:	Elsevier
ISSN:	0010-4485
Date of Acceptance:	11 April 2012
Last Modified:	21 Oct 2022 06:50
URI:	https://orca.cardiff.ac.uk/id/eprint/98576

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