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带形状参数的类三次Ball插值曲线
引用本文:袁峰,王晨懿,王保山,王成伟.带形状参数的类三次Ball插值曲线[J].北京电子科技学院学报,2013,21(2):86-90.
作者姓名:袁峰  王晨懿  王保山  王成伟
作者单位:北京服装学院信息工程学院 北京100029;北京服装学院基础教学部 北京100029
基金项目:北京市教育委员会科技发展计划面上项目(KM201010012010)
摘    要:Ball曲线是计算机辅助几何设计中的一类重要曲线,以带形状参数的类三次Ball曲线为例,对带有形状参数的类三次Ball曲线的性质进行了分析,构造了一类连续的带有形状参数的类三次Ball型插值曲线。最后实例表明了带有形状参数的插值曲线应用于几何造型的有效性。

关 键 词:形状参数  Ball曲线  插值曲线

Quasi -Cubic Ball Interpolation Curves With a Shape Parameter
Yuan Feng,Wang Chenyi,Wang Baoshan,Wang Chengwei.Quasi -Cubic Ball Interpolation Curves With a Shape Parameter[J].Journal of Beijing Electronic Science & Technology Institute,2013,21(2):86-90.
Authors:Yuan Feng  Wang Chenyi  Wang Baoshan  Wang Chengwei
Affiliation:1. Department of Information Engineering, Beijing Institute of Fashion Technology ,Beijing 1000292, China2. Department of Fundamental Courses ,Beijing Institute of Fashion Technology ,Beijing 100029, China
Abstract:Ball curve is one kind of the important one curve in CAGD. As an example to quasi -cubic Ball curve with a shape parameter, the characters of quasi - cubic Ball curves with a shape parameter is analyzed, a class of continuous quasi - cubic Ball interpolation curves with a shape parameter is constructed. At last, the illustrations show that interpolation curves with a shape parameter are effective in practice on geometric modeling.
Keywords:Shape Parameter  Ball Curve  Interpolation Curve
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