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An algorithm to improve parameterizations of rational Bézier surfaces using rational bilinear reparameterization

Yang, Yi-Jun, Zeng, Wei, Yang, Cheng-Lei, Deng, Bailin, 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

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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
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: 04 Jun 2017 09:43
URI: http://orca.cf.ac.uk/id/eprint/98575

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