
ZHANG Ren-jiang, WANG Guo-jin. Improvement of the termination criterion for subdivision of the rational Bézier curves[J]. Journal of Zhejiang University Science A, 2003, 4(1): 47-52.
@article{title="Improvement of the termination criterion for subdivision of the rational Bézier curves",
author="ZHANG Ren-jiang, WANG Guo-jin",
journal="Journal of Zhejiang University Science A",
volume="4",
number="1",
pages="47-52",
year="2003",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2003.0047"
}
%0 Journal Article
%T Improvement of the termination criterion for subdivision of the rational Bézier curves
%A ZHANG Ren-jiang
%A WANG Guo-jin
%J Journal of Zhejiang University SCIENCE A
%V 4
%N 1
%P 47-52
%@ 1869-1951
%D 2003
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2003.0047
TY - JOUR
T1 - Improvement of the termination criterion for subdivision of the rational Bézier curves
A1 - ZHANG Ren-jiang
A1 - WANG Guo-jin
J0 - Journal of Zhejiang University Science A
VL - 4
IS - 1
SP - 47
EP - 52
%@ 1869-1951
Y1 - 2003
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2003.0047
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.
[1]Anglada, M.V., Garcia, N.P. and Crosa,P.B., 1999. Directional adaptive surface triangulation. Computer Aided Geometric Design, 16:107-126.
[2]Filip,D.,Magedson,R. and Markot,R., 1986, Surface algorithm using bounds on derivatives. Computer Aided Geometric Design, 3:295-311.
[3]Lane, J.M. and Riesenfeld,R.F.,1980. A theoretical development for the computer generation and display of piecewise polynomial surface. IEEE Trans.Pattern Anal.Machine Intell., PAMI-2:35-46.
[4]Nairn,D.,Peter,J. and Lutterkort,D., 1999. Sharp, quantitative bounds on the distance between a polynomial piece and its B
[5]Sederberg,T.W. and Parry,S.R.,1986. Comparison of three curve intersection algorithms. Computer Aided Design,18:58-63.
[6]Sheng,X., Hirsh,B.E., 1992. Triangulation of trimmed surface in parametric space. Computer Aided Design, 24 (8):437-444.
[7]Wang G.Z., 1984. The subdivision method for finding the intersection between two Beier curves or surfaces. Journal of Zhejiang University(Special Issue on Computational Geometry), 18: 108-119 (in Chinese).
[8]Wang, G.J., and Xu, W., 1991. The termination criterion for subdivision of the rational beier Curves. Graphical Models And Image Processing, 53:93-96.
CLC number: TP391.72
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 0000-00-00
Cited: 0
Clicked: 6101
Open peer comments: Debate/Discuss/Question/Opinion
<1>