Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (6): 88-91.

• 学术探讨 • Previous Articles     Next Articles

Research of uniform T-B-spline curves

MA Su-jing,LIU Xu-min   

  1. College of Information Engineering,Capital Normal University,Beijing 100037,China
  • Received:2007-06-13 Revised:2007-09-06 Online:2008-02-21 Published:2008-02-21
  • Contact: MA Su-jing

均匀T-B样条曲线的研究

马素静,刘旭敏   

  1. 首都师范大学 信息工程学院,北京 100037
  • 通讯作者: 马素静

Abstract: The paper presents n-degree uniform T-B-spline basis function and reparametrizes it on the interval[0,1],which is based on the analysis of T-B-spline basis functions and terminal properties.And the paper gives the expressions that are used to ascend order and to reverse the control points,respectively.Finally the paper presents the G1/C1 conditions of T-B-spline curves.The results have definited geometric meanings that are useful for surface modeling.

Key words: uniform T-B-spline curves, ascend order, reverse, connect

摘要: 在对均匀T-B样条基函数及其曲线端点特性分析的基础上提出了n次均匀T-B样条基函数的表达式,通过重新参数化使其参数区间范围规范为[0,1]。给出了均匀T-B样条曲线的升阶公式、控制点反求公式以及均匀T-B样条曲线与T-Bézier曲线间G1/C1拼接的条件,所得结论具有明确造型意义,能较好地应用于曲线曲面造型系统中。

关键词: 均匀T-B样条, 升阶, 反求, 拼接