Bézier curves with shape parameter
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WANG Wen-tao, WANG Guo-zhao. Bézier curves with shape parameter[J]. Journal of Zhejiang University Science A, 2005, 6(6): 497-501.
@article{title="Bézier curves with shape parameter",
author="WANG Wen-tao, WANG Guo-zhao",
journal="Journal of Zhejiang University Science A",
volume="6",
number="6",
pages="497-501",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0497"
}
%0 Journal Article
%T Bézier curves with shape parameter
%A WANG Wen-tao
%A WANG Guo-zhao
%J Journal of Zhejiang University SCIENCE A
%V 6
%N 6
%P 497-501
%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0497
TY - JOUR
T1 - Bézier curves with shape parameter
A1 - WANG Wen-tao
A1 - WANG Guo-zhao
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 6
SP - 497
EP - 501
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2005.A0497
Abstract: In this paper, Bézier basis with shape parameter is constructed by an integral approach. Based on this basis, we define the Bézier curves with shape parameter. The Bézier basis curves with shape parameter have most properties of Bernstein basis and the Bézier curves. Moreover the shape parameter can adjust the curves’ shape with the same control polygon. As the increase of the shape parameter, the Bézier curves with shape parameter approximate to the control polygon. In the last, the Bézier surface with shape parameter is also constructed and it has most properties of Bézier surface.
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[4] Said, H.B., 1989. Generalized Ball curve and its recursive algorithm. ACM Transaction on Graphics, 8(4):360-371.
[5] Wang, W.T., Wang, G.Z., 2004. Uniform B Spline with Shape Parameter. Journal of Computer-Aided Design & Computer Graphics, 16(6):783-788.
Full Text:
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CLC number: TP391
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 0000-00-00
Cited: 5
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Open peer comments: Debate/Discuss/Question/Opinion
<1>
reenu@Rani Durgawati University<reenusharma6@rediff.com>
2012-01-12 13:24:34
I am doing Ph.D. on the topic spline curves.
tled "Bézier curves with shape parameter" will defenitly help me for my studies.
This paper enti