两类带参数的四次三角Bézier曲线  

Two Classes of Quartic Trigonometric Bézier Curves with Shape Parameters

作　　者：张丹丹[1] 李立[1] ZHANG Dandan;LI Li(Anhui Anqing Radio and Television University Campus,Anqing,Anhui 246001)

机构地区：[1]安徽广播电视大学安庆分校,安徽安庆246001

出　　处：《绵阳师范学院学报》2019年第2期11-15,共5页Journal of Mianyang Teachers＇ College

基　　金：安徽省高校自然科学研究重点项目(KJ2017A942)

摘　　要：本文构造了两种带参数的四次三角基函数,它具有Bernstein基函数的几何性质:非负性、权性、对称性和端点性质.由此定义的两类四次三角曲线,通过形状参数取值的不同,可对曲线的性质进行调控.Two classes of quartic trigonometric function with shape parameters were constructed,which hold many geometrical qualities of usual Bernstein function,such as nonnegative,weight property,endpoint and symmetry.Two classes of quartic trigonometric Bézier curves with shape parameter were defined.We find that the shape of the curve can be adjusted by the difference of shape parameters.

关 键 词：四次三角基函数 形状参数 曲线设计 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]