Local shape control of a weighted interpolation surface

被引：0
作者：
Pan, Jianxun [1 ]
Bao, Fangxun [2 ]
机构：
[1] Womans Acad Shandong, Jinan, Peoples R China
[2] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2015年 / 19卷 / 01期
关键词：
rational spline; bivariate blending interpolation; weighted interpolation; shape control; computer-aided geometric design; BIVARIATE RATIONAL INTERPOLATION; HERMITE INTERPOLATION; SPLINES;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper proposes a new weighted bivariate blending rational interpolator" only based on function values. The interpolation function with some free parameters has simple and explicit mathematical representation, and it is C-1-continuous for any positive parameters and weighted coefficient. More important, the shape of the interpolating surfaces can be modified by selecting suitable parameters and weighted coefficient. In order to meet the needs of practical design, a local shape control method is employed to control the shape of interpolating surfaces. In the special case, the method of "Central Point Value Control" is discussed.
引用
收藏
页码：68 / 79
页数：12
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