Abstract
A re-parameterization transformation is discussed. With this re-parameterization transformation, a polynomial curve can be reformulated as a rational curve, with a parameterization that is optimal in the sense that no other rational representation of the curve approximates more closely arc-length parameterization. Computing instances are included.
Publisher
Trans Tech Publications, Ltd.
Reference10 articles.
1. Yi-Jun Yang, Wei Zeng, Cheng-Lei Yang, Bailin Deng, Xiang-Xu Meng, S. Sitharama Iyengar. An algorithm to improve parameterizations of rational Bézier surfaces using rational bilinear reparameterization. Computer-Aided Design 45 , p.628–638, (2013).
2. Fiorot, J.C., Cattiaux, I. Uniform point-distribution on a circle. In: Rabut, C., Le Méhaut é, A., Schumaker, L.L. (Eds. ), Curves in Surfaces with Application in CAGD. Vanderbilt University Press, Nashville, TN, p.103–110, (1997).
3. Hernández-Mederos, V., Estrada-Sarlabous, J. Sampling points on regular parametric curves with control of their distribution. Computer Aided Geometric Design 20, 363–382, (2003).
4. Jüttler, B. A vegetarian approach to optimal parameterizations. Computer Aided Geometric Design 14, 887–890, (1997).
5. Isabelle Cattiaux-Huillard, Gudrun Albrechta, Victoria Hernández-Mederos. Optimal paramete- rization of rational quadratic curves. Computer Aided Geometric Design 26, 725–732, (2009).