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Some Practical Approaches of Representing Symmetric Clrcular Arcs With Biquadratic Nurbs(PDF)

南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2005年03期
Page:
58-60
Research Field:
Publishing date:

Info

Title:
Some Practical Approaches of Representing Symmetric Clrcular Arcs With Biquadratic Nurbs
Author(s):
LI Jun
School of Information Engineering, Hubei Institute for Nationalities, Hubei Enshi 445000, China
Keywords:
circu la r a rcs curve;  NURBS;  con tro l po in ts;  w e ights
PACS:
TP391.7;
DOI:
-
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.

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.

Memo

Memo:
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Last Update: 2013-04-29