Research of uniform T-B-spline curves

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

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Research of uniform T-B-spline curves

MA Su-jing,LIU Xu-min

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

首都师范大学信息工程学院，北京 100037

通讯作者: 马素静

Abstract

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

MA Su-jing,LIU Xu-min. Research of uniform T-B-spline curves[J]. Computer Engineering and Applications, 2008, 44(6): 88-91.

马素静,刘旭敏. 均匀T-B样条曲线的研究[J]. 计算机工程与应用, 2008, 44(6): 88-91.

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Research of uniform T-B-spline curves

均匀T-B样条曲线的研究

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