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圆弧曲线的二次NURBS表示方法研究
引用本文:韩明,孔亚洲,董炀斌,黄树槐. 圆弧曲线的二次NURBS表示方法研究[J]. 华中科技大学学报(自然科学版), 2001, 29(12): 37-39
作者姓名:韩明  孔亚洲  董炀斌  黄树槐
作者单位:华中科技大学材料科学与工程学院
摘    要:由于用NURBS曲线表示圆弧时,因圆弧圆心角不同,圆弧方向不同,难于找到圆弧NURBS通用算法,以满足控制顶点少、紧凑凸包、良好参数化等特点,因此从二次NURBS曲线插入节点算法入手,提出一种基于等分圆心角的二次NURBS曲线表示方法。

关 键 词:NURBS曲线 权因子 参数化 圆弧曲线 二次NURBS圆弧表示法 插入节点算法 CAGD
文章编号:1000-8616(2001)12-0037-03
修稿时间:2001-07-04

Expressing Method for the Secondary NURBS Circular Curve
Han Ming Kong Yazhou Dong Yangbin Huang Shuhuai Senior Engineer, College of Material. Sci. , Eng.,HUST,Wuhan ,China.. Expressing Method for the Secondary NURBS Circular Curve[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 2001, 29(12): 37-39
Authors:Han Ming Kong Yazhou Dong Yangbin Huang Shuhuai Senior Engineer   College of Material. Sci. & Eng.  HUST  Wuhan   China.
Affiliation:Han Ming Kong Yazhou Dong Yangbin Huang Shuhuai Senior Engineer, College of Material. Sci. & Eng.,HUST,Wuhan 430074,China.
Abstract:When a circular arc is represented by NURBS curves, it is difficult to find out a universal arithmetic to satisfy the characteristic of fewer control vertexes, compact convexity and optimistic parameterization because of the different center angle and direction. Starting with the method of inserting knots, a new way based on identically parting the center angle to express the circular arc by NURBS curves of degree two is suggested in this paper.
Keywords:NURBS curve  weighting factor  parameterization
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