摘要
在介绍均匀T-B样条曲线理论的基础上,提出了均匀T-B样条曲线的阶基函数表达式,并讨论了椭圆弧及圆弧的均匀T-B样条表示及用均匀T-B样条构造旋转曲面的建模方法。构造了母线可以包含圆弧、椭圆弧等的旋转曲面实例。该方法结构简单,造型速度快。同时由于均匀T-B样条和均匀B样条有相同的结构和类似的性质,该方法可以方便地应用于CAD/CAM造型系统。
On the basis of uniform Y-B-spline curves theory, N-Degree uniform T-B-spline basis function is presented. And discussed to express the circle arc and ellipse arc and to construct rotate surfaces with the uniform T-B-spline curves. The rotate surface instances which contain circle arc or ellipse arc are realized. The mean is simple and fast. In addition, because of the similarity between the uniform Y-B-spline curves and the uniform B-spline curves, the mean is used to the CAD/CAM modeling system easily.
出处
《计算机工程与设计》
CSCD
北大核心
2008年第16期4255-4256,4266,共3页
Computer Engineering and Design
基金
北京市教委重点基金项目(KZ200710028014)
北京市自然基金项目(4062009
4082009)
关键词
均匀T-B样条
圆弧
椭圆弧
旋转曲面
造型系统
uniform T-B-spline curves
circle arc
ellipse arc
rotate surface
modeling system
