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点集Bézier曲线 被引量:2

Point Set Bézier Curves
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摘要 提出了点集Bézier曲线的概念,给出了点集Bézier曲线的性质及细分算法.按照点集算术的定义,当点集是长方形闭域或圆盘时,点集Bézier曲线就是区间Bézier曲线或圆盘Bézier曲线,因此,点集Bézier曲线是对区间Bézier曲线和圆盘Bézier曲线的推广. The definition of point set Bézier curves is put forward. The properties and subdivision of point set Bézier curves are given. When the point set is rectangular close field or disk, the point set Bézier curve is interval Bézier curve or disk Bézier curve, according to the definition of the point set. Therefore, point set Bézier curve is generalization of interval Bézier curve or disk Bézier curve.
作者 李宁 黄有度
出处 《大学数学》 北大核心 2006年第5期59-63,共5页 College Mathematics
关键词 点集算术 点集Bézier曲线 紧盘 point set arithmetic point set Bézier curves tight disk
  • 相关文献

参考文献4

  • 1Sederberg T W,Faroukir T.Approximation by interval Bézier curves[J].IEEE Computer Graph Appl,1992,15(2):87-95.
  • 2Chen F,Lou W Degree reduction of interval Bézier curves[J].Computer-Aided Design 2000,32(6):571-582.
  • 3Chen Falai,Wu Yang.Degree reduction of disk Bézier curves[J].Computer Aided Design geometric Design 2004,21(3):263-280.
  • 4Wei Yong-wei,WANG Guo-zhao.Subdivision of interval Bézier curves[J].Journal of Zhejiang University(Science Edition) 2004,31(3):262-266.

同被引文献12

  • 1SEDERBERG T W, FAROUKIR T. Approximation by interval Bezier curves[J]. IEEE Computer Graph Appl, 1992,15 (2) :87-95.
  • 2C HEN F, LOU W. Degree red uction of interval Bezier curves[J]. Comp uter-Aided Design, 2 0 0 0,3 2 (6): 5 71-5 8 2.
  • 3WEI Yong-wei, WANG Guo-zhao. Subdivion of interval Bezier curves[J]. Jounal ofZhejiang University:Science Edition, 2004,31 (3) : 262-266.
  • 4FALAI CHEN, WU YANG, Degree reduction of disk B6zier curves[J]. Computer Aided Geometric Design, 2004,21 (3) :263-280.
  • 5Sederberg T W, Faroukir T. Approximation by interval Bezier curves[J]. IEEE Computer Graph Appl, 1992, 15 (2):87-95.
  • 6Chen Falai, Lou W. Degree reduction of interval Bezier curves[J]. Computer-Aided Design, 2000, 32 (6): 571-582.
  • 7Wei Yongwei, Wang Guozhao. Subdivion of interval Bezier eurves[J]. Jounal of Zhejiang University(Science Edition), 2004,31(3) :262-266.
  • 8Hu C Y, Maekawa T, Sherbrooke E C, et aL Robust interval algorithm for curve interseetions[J]. Computer-Aided Design,1996, 28(6/7) : 495-506.
  • 9Mudur S P, Koparkar P A. Interval methods for processing geometric objects[J]. IEEE Comput Graph Appl, 1984, 4 (2):7-17.
  • 10Tuohy S T, Maekawa T, Shen G, et al. Approximation of measured data with interval B-splines[J]. Computer-Aided Design, 1997, 29(11) : 791-799.

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