两类形状可调五次广义Ball曲线  

Two Classes of Quintic Generalized Ball Curves with adustable Shape

作　　者：严兰兰[1] 张文[1] 温荣生[1] 

机构地区：[1]东华理工大学数学与信息科学学院,江西抚州344000

出　　处：《工程图学学报》2011年第6期16-20,共5页Journal of Engineering Graphics

摘　　要：定义了两种带形状参数的曲线。第一种曲线包含了五次Wang-Ball和Said-Ball曲线以及介于这两种曲线之间的无数曲线;第二种曲线包含了五次Said-Ball和Bézier曲线以及介于这两种曲线之间的无数曲线。通过分析这两种曲线与五次Bézier曲线之间的关系,得出了形状参数的几何意义,并给出了这两种曲线的几何作图法。Two new classes of curves with shape parameters are defined.The first class of curve contains the quintic Wang-Ball and Said-Ball curves and the curves located between them.The second class of curve contains the quintic Said-Ball and Bézier curves and the curves located between them.By analyzing the relationship between the new curves and the quintic Bézier curve,the geometric meaning of shape parameters are obtained,and the geometrical drawing method of the new curves are given.

关 键 词：Wang-Ball基函数 Said-Ball基函数 BERNSTEIN基函数 BALL曲线 形状参数 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]