整椭圆的三次NURBS表示及其应用

计算机工程与应用 ›› 2016, Vol. 52 ›› Issue (3): 189-192.

整椭圆的三次NURBS表示及其应用

潘俊超，杭后俊，姚兴，仇茹

安徽师范大学数学计算机学院，安徽芜湖 241000

出版日期:2016-02-01 发布日期:2016-02-03

Cubic NURBS representation of ellipse and its application

PAN Junchao, HANG Houjun, YAO Xing, QIU Ru

School of Mathematics and Computer Science, Anhui Normal University, Wuhu, Anhui 241000, China

Online:2016-02-01 Published:2016-02-03

摘要/Abstract

摘要： 利用普劳茨算法对整椭圆的一种二次NURBS表示方案进行升阶，得到其三次NURBS表示。讨论了整椭圆的无限多种三次NURBS表示问题，并给出了适合工程应用的现成可用的结果，同时指出，同一椭圆不同的三次NURBS表示与有理线性参数变换相对应，即不同NURBS表示之间的差异主要在于曲线上点的参数值发生了变化。给出了具体的应用实例。

关键词: 普劳茨升阶算法, 非均匀有理B样条（NURBS）表示, 有理线性参数变换

Abstract: This paper elevates the ellipse represented by a quadratic NURBS method and obtains its cubic NURBS representation. Then, it discusses infinite number of cubic NURBS representation of ellipse and presents ready-made results suitable for engineering applications and points out that the different cubic NURBS representation of ellipse corresponds to rational linear parameter transformation, whose difference is that parameter values of the points on the curve are changed. An application instance is given.

Key words: Prautzsch elevation algorithm, Non-Uniform Rational B-Splines（NURBS） representation, rational linear parameter transformation

潘俊超，杭后俊，姚兴，仇茹. 整椭圆的三次NURBS表示及其应用[J]. 计算机工程与应用, 2016, 52(3): 189-192.

PAN Junchao, HANG Houjun, YAO Xing, QIU Ru. Cubic NURBS representation of ellipse and its application[J]. Computer Engineering and Applications, 2016, 52(3): 189-192.