摘要
探讨了用含控制类型、种类、形因子参量的方法，推出了既能构造任意有理与非有理的参数三次曲线又能表示二次圆锥曲线的统一数学模型，并讨论了控制参量、权因子与曲线形状之间的关系．为ＣＡＧＤ提供了内涵丰富、描述能力强、简捷的统一数学方法．
\ This paper discusses the method for constructing arbitrary rational and non rational parametric cubic and quadric conical curves by the use of controling parameters which contain types,kinds and shape factors.It put forward the unified mathematical models of representing irregular as well as regular,rational and non rational parametric curves,and discusses the relationship between the controling parameters,weight factors and curves,along with the property of variations curves.It provides a simple convenient audio visual mathematical method with substantial content and powerfull descriptive ability for CAGD(Computer Aided Geometrical Design).
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
1998年第2期186-192,共7页
Journal of Computer-Aided Design & Computer Graphics
关键词
有理参数
CAGD
曲线造型
controling parameters,rational parametric cubic curves,unification of mathematical model,types,kinds and shape factors
