Yang, Yi-Jun, Zeng, Wei, Yang, Cheng-Lei, Deng, Bailin ORCID: https://orcid.org/0000-0002-0158-7670, Meng, Xiang-Xu and Sitharama Iyengar, S. 2013. An algorithm to improve parameterizations of rational Bézier surfaces using rational bilinear reparameterization. Computer-Aided Design 45 (3) , pp. 628-638. 10.1016/j.cad.2012.10.048 |
Abstract
The parameterization of rational Bezier surfaces greatly affects rendering and tessellation results. The uniformity and orthogonality of iso-parametric curves are two key properties of the optimal parameterization. The only rational Bezier surfaces with uniform iso-parametric curves are bilinear surfaces, and the only rational Bezier surfaces with uniform and orthogonal iso-parametric curves are rectangles. To improve the uniformity and orthogonality of iso-parametric curves for general rational Bezier surfaces, an optimization algorithm using the rational bilinear reparameterizations is presented, which can produce a better parameterization with the cost of degree elevation. Examples are given to show the performance of our algorithm for rendering and tessellation applications.
Item Type: | Article |
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Status: | Published |
Schools: | Computer Science & Informatics |
Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
Publisher: | Elsevier |
ISSN: | 0010-4485 |
Last Modified: | 21 Oct 2022 06:50 |
URI: | https://orca.cardiff.ac.uk/id/eprint/98575 |
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