Optimal constrained polynomials approximation of hyperbolas based on Lupa q-Bezier curves
Optimal constrained polynomials approximation of hyperbolas based on Lupa q-Bezier curves
复制标题
基于Lupa q-Bezier曲线的双曲线最优约束多项式逼近
DOI：
10.1002/mma.5104
复制
发表时间：
2018
影响因子：
2.9
通讯作者：
Zhang Yali
中科院分区：
文献类型：
--
作者：
Han Xuli;Zhang Yali
This paper presents an explicit optimal polynomial for approximating the quadratic Lupaşq‐Bézier curve. We first prove that the quadratic Lupaşq‐Bézier curve represents a hyperbola or a parabola. Then we research the approximation of quadratic Lupaşq‐Bézier curves by polynomials. Since the denominator of quadratic Lupaşq‐Bézier curves is a linear function, the explicit optimal constrained approximation is obtained. Finally, some numerical examples are presented to illustrate the effectiveness of the proposed method.
