摘要
利用Hermite插值给出了三次λ参数曲线的构造,讨论了其性质,给出了凸性定理,并进一步利用三次λ参数曲线构造了C1连续的样条曲线和插值曲线,给出了插值曲线控制点的一般求法.
By using Hermite interpolant, cubic λ parametric curves are introduced and properties and convexity theorem are given.Furthermor.e,C1 spline curves and interpolating spline curves by cubic λ parametric curves are obtained,and the algorithm for calculating control points of interpolating spline curves is given,it is easier than that of B spline method.
出处
《陕西师大学报(自然科学版)》
CSCD
1995年第4期17-20,共4页
Journal of Shaanxi Normal University(Natural Science Edition)
关键词
样条函数
凸性
样条曲线
埃米尔特插值
spline function
Hermite interpolant
convexity
spline curve