均匀T-B样条旋转曲面造型研究  

Research of rotate surface of uniform T-B-spline

作　　者：马素静[1] 刘旭敏[1] 

机构地区：[1]首都师范大学信息工程学院,北京100037

出　　处：《计算机工程与设计》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)

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.

关 键 词：均匀T-B样条 圆弧 椭圆弧 旋转曲面 造型系统 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]