Author： Rababah Abedallah
Publisher： Taylor & Francis Ltd
ISSN： 0163-0563
Source： Numerical Functional Analysis and Optimization, Vol.28, Iss.9-10, 2007-09, pp. : 1179-1196
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
In this article, we find the optimal r times degree reduction of Bézier curves with respect to the Jacobi-weighted L2-norm on the interval [0, 1]. This method describes a simple and efficient algorithm based on matrix computations. Also, our method includes many previous results for the best approximation with L1, L2, and L∞-norms. We give some examples and figures to demonstrate these methods.
Related content
A generalization of rational Bernstein–Bézier curves
Bit Numerical Mathematics, Vol. 47, Iss. 2, 2007-06 ,pp. :
Access to resources
Recommend
By Agrachev A.
Journal of Dynamical and Control Systems, Vol. 8, Iss. 2, 2002-04 ,pp. :
Journal of Dynamical and Control Systems, Vol. 8, Iss. 1, 2002-01 ,pp. :
The View from Here: Bézier Curves with a Romantic Twist
Math Horizons, Vol. 20, Iss. 1, 2012-09 ,pp. :