四次Wang-Ball曲线的区间扩展  

Interval Expansion of Quartic Wang-Ball Curves

作　　者：张丹丹 ZHANG Dan-dan(Anqing Branch,Anhui Open University,Anqing 246001,China)

机构地区：[1]安徽开放大学安庆分校,安徽安庆246001

出　　处：《长春师范大学学报》2023年第10期5-11,共7页Journal of Changchun Normal University

基　　金：安徽省高校自然科学研究重点项目“CAGD中曲线曲面研究及其在造型设计中的应用”(KJ2021A1257)。

摘　　要：将传统的四次Wang-Ball基函数的定义区间[0,1]扩展到动态区间[0,α],从而得到新的含有形状参数的基函数,由此构造了一类新的四次Wang-Ball曲线.新的四次α-Wang-Ball曲线具有Wang-Ball的基本性质,引入形状参数,解决了传统四次Wang-Ball曲线形状修改方面的问题.参数α取不同值时,曲线的形状可以灵活改变,对此给出了两曲线间G1、G2连续的条件,在曲线造型设计中该方法简单、有效.The definition interval[0,1]of the traditional quartic Wang-Ball basis function is extended to the dynamic interval[0,α],and a new basis function with shape parameters is obtained after parameterization,thus constructing a new class of quartic Wang-Ball basis functions curve.The constructed quarticα-Wang-Ball curve has the properties of the Wang-Ball curve,and the shape parameter is introduced to solve the disadvantage that the shape of the traditional quartic Wang-Ball curve cannot be modified.When the parameterαtakes different values,the shape of the curve can be changed flexibly,and the condition of G 1 and G 2 continuity between the two curves is given.This method is simple and effective in the curve modeling design.

关 键 词：四次Wang-Ball曲线 形状参数 区间扩展 连续 形状可调 

分 类 号：O24[理学—计算数学]