摘要
求文探讨了用控制参量形式表示各种参数三次曲线、曲面和二次Ｂｅｚｉｅｒ、二次Ｂ－ｓｐｌｉｎｅ曲线、曲面的基函数统一表达式。采用改变控制参量取值的方法构造所需的各种曲线、曲面，为曲线、曲面造型提供了一种简捷的数学方法。还讨论了参量的不同取值所对应的不同种类曲线、曲面的几何特性。
A unified representation of base function for expressing various variable cubic curves/surfaces and the quadric Bener & B-spline curves/surfaces with control parameters is proposed. Using the medium of changeable values of control parameters toconstruct various curves and surfaces is a brief mathematic method for modelling.Thegeometric property of different kinds of curves and surfaces for corresponding modellingwith different values of control parameters is also discussed in this paper.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
1996年第2期101-107,共7页
Journal of Computer-Aided Design & Computer Graphics
关键词
基函数
CAD
曲线
曲面
control parameters, base function, variable curves and surfaces.
