摘要
对四点插值分格式提出了一种新的改进方法 ,并利用柯西定理和构造Bernstein多项式等方法证明了该方法的收敛性、光滑性 ,同时还得到曲线端点处的导数 ,给出曲线光滑拼接的充要条件 ,为曲线间的光滑拼接提供了理论基础 .
A new method to improve the original four point interpolation scheme is presented, the convergence and smoothness are also gained, applying the Cauchy theorem and constructing Bernstein polynomials. Meanwhile, the expression of derivative on the endpoint for the limit curve is obtained. And the sufficient and necessary conditions for the smooth split joint between the curves are obtained. The method can be extended to the split joint problem between surfaces easily.
出处
《烟台大学学报（自然科学与工程版）》
CAS
2002年第3期171-176,共6页
Journal of Yantai University(Natural Science and Engineering Edition)
基金
国家基础研究专项基金资助项目 (G19990 32 80 5 )
