[1]李军.四次NURBS表示对称圆弧曲线的实用方法[J].南京师范大学学报(工程技术版),2005,05(03):058-60.
　LI Jun.Some Practical Approaches of Representing Symmetric Clrcular Arcs With Biquadratic Nurbs[J].Journal of Nanjing Normal University(Engineering and Technology),2005,05(03):058-60.
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四次NURBS表示对称圆弧曲线的实用方法
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南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
05卷
期数:
2005年03期
页码:
058-60
栏目:
出版日期:
2005-09-30

文章信息/Info

Title:
Some Practical Approaches of Representing Symmetric Clrcular Arcs With Biquadratic Nurbs
作者:
李军
湖北民族学院信息工程学院 湖北恩施445000
Author(s):
LI Jun
School of Information Engineering, Hubei Institute for Nationalities, Hubei Enshi 445000, China
关键词:
圆弧曲线;  NURBS;  控制顶点;  权因子
Keywords:
circu la r a rcs curve;  NURBS;  con tro l po in ts;  w e ights
分类号:
TP391.7;
摘要:
研究了用四次NURBS表示标准解析形状中最简单也最有代表性的圆锥曲线———对称圆弧的问题,给出了一种实用的四次NURBS表示对称圆弧曲线的方法,该方法用5个控制顶点的NURBS曲线来表示一象限的对称圆弧,使参数u=1/2的值为圆弧的中心点,同时满足控制顶点和权因子在圆弧中心点处是对称的.该方法给出的控制顶点和权因子的计算结果,符合对圆弧NURBS表示的要求,不必进行推导计算,便于工程应用中推广使用.
Abstract:
Th is paperm a inly stud ies how to use b iquadraticNURBS to represent symm etr ic c ircular a rcs, the sim plest and themo st representative conic curve and g ives a practical approach of representing symm etr ic c ircular a rcs w ith b-i quadratic NURBS, in wh ich a quadrant of symm etric c ircular arcs are represented by a segm ent of NURBS curve determ ined by five contro l po ints, the of va lue is m ade as the c ircular arcs centra l point, and a t the sam e tim e the dem and is m e t tha t the con tro l po ints and we ights are symm etry in the circu la r arcs cen tral po int. The ca lcu la ted results of control po ints and w eights g iven by them ethod mee ts the dem ands of c ircular arcsNURBS representation and need no ca lculating. Them e thod is conven ient to be genera lized in eng ineer ing applica tion.

参考文献/References:

[ 1] Pieg l L. On NURBS: a surver [ J ]. IEEE Com puter Graph ics and App lications, 1991, 11( 1): 5 -71.
[ 2] Dav id F. An Introduc tion to NURBS w ith H istor ica l Perspective [M ]. San Francisco: M organ Kau fm ann Publishers, 2001. 155 -158.
[ 3] P ieg l L, T illerW. Curve and surface constructions using rationa l B-sp lines[ J]. CAD, 1987, 19( 9) : 485 -497.
[ 4] Pieg l L, T illerW. A m enager ie of rationa lB - splines circ les[ J]. IEEE CG and A, 1989, 9( 5) : 48- 56.
[ 5] 李强, 席光. NURBS表示圆弧曲线的实用方法[ J] . 计算机辅助设计与图形学学报, 1999, 11( 5) : 467 -469.
[ 6] 范劲松, 安军. 用三次NURBS表示圆弧与整圆的算法研究[ J]. 计算机辅助设计与图形学学报, 1997, 9 ( 5): 391- 395.

备注/Memo

备注/Memo:
基金项目: 湖北省教育厅重点资助项目( 2003A008) .
作者简介: 李军( 1972-) , 讲师, 主要从事计算机图形学、计算机辅助设计等方面的教学与研究. E-m ail:lijun72213@ 163. com
更新日期/Last Update: 2013-04-29