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Journal of Zhejiang University SCIENCE A

ISSN 1673-565X(Print), 1862-1775(Online), Monthly

2003 Vol.4 No.1 P.47-52

Improvement of the termination criterion for subdivision of the rational Bézier curves

ZHANG Ren-jiang, WANG Guo-jin

Institute of Computer Images and Graphics, Zhejiang University, Hangzhou 310027, China; State Key Lab of CAD and CG, Zhejiang University, Hangzhou 310027, China; China Institute of Metrology, Hangzhou 310034, China

renjiang@mail.hz.zj.cn

Abstract: By using some elementary inequalities, authors in this paper makes further improvement for estimating the heights of Bézier curve and rational Bézier curve. And the termination criterion for subdivision of the rational Bézier curve is also improved. The conclusion of the extreme value problem is thus further confirmed.

Key words: Rational Bézier curves, Subdivision, Termination criterion


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DOI:

10.1631/jzus.2003.0047

CLC number:

TP391.72

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On-line Access:

2024-08-27

Received:

2023-10-17

Revision Accepted:

2024-05-08

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