摘要
基于球极投影保持PH性质不变的特性,利用球极投影把球面上C1Hermite插值数据投影到xy-平面,对投影到xy-平面上的插值数据构造待定结点的PH曲线和缺省数据的PH曲线,然后逆投影到球面上得到相应的球面有理插值PH曲线,数值实例表明该方案是有效的。
The sterographic projection preserving PH property invariant is exploited, The spatial CL Hermite date is projected to an xy -plane by sterographic projection. In an xy -plane PH curves with undetermined junction points and default data are constructed. Then, by the inverse general stereographic projection, spherical rational PH curves are generated. The numerical examples show the effectiveness of the proposed scheme.
作者
丁晨
康卫
DING Chen KANG Wei(College of Information Engineering, Fuyang Normal Unersity, Fuyang 236041, China)
出处
《安庆师范大学学报（自然科学版）》
2017年第3期27-31,共5页
Journal of Anqing Normal University(Natural Science Edition)
基金
安徽省教育厅自然科学研究重点项目(KJ2016A555)
关键词
有理PH曲线
球极投影
C1Hermite插值
待定结点
缺省数据
rational PH curve
sterographic projection
C＇ Hermite interpolation
undetermined junction point
default data
