有理Bézier曲线的切触Newton插值逼近算法

Approximation algorithm of rational Bézier curves by using of osculatory Newton interpolation polynomial

采用切触Newton多项式逼近有理Bézier曲线,得到了有理Bézier曲线的多项式逼近算法,所得逼近曲线与原曲线在端点处能够达到高阶插值.数值实例显示,该方法随着逼近多项式次数的升高能够达到很好的逼近效果.

Obtained polynomial approximation of rational B é zier curve by using Newton interpolation polynomials.The obtained rational curve and the rational Bézier curve have high derivates at the end points.Numerical examples showed that it can achieve effective results with the raise of the approximating polynomial s degree.