Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

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

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

Full text not available from this repository.

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: 21 Oct 2022 06:50
URI: https://orca.cardiff.ac.uk/id/eprint/98575

Citation Data

Cited 15 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item