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CLC number: TP391
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Received: 2004-01-20
Revision Accepted: 2004-09-04
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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.
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author="WANG Wen-tao, WANG Guo-zhao",
journal="Journal of Zhejiang University Science A",
volume="6",
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year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0497"
}
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DOI - 10.1631/jzus.2005.A0497
Abstract: In this paper, bé%29&ck%5B%5D=abstract&ck%5B%5D=keyword'>bé;zier basis with shape parameter is constructed by an integral approach. Based on this basis, we define the bé%29&ck%5B%5D=abstract&ck%5B%5D=keyword'>bé;zier curves with shape parameter. The bé%29&ck%5B%5D=abstract&ck%5B%5D=keyword'>bé;zier basis curves with shape parameter have most properties of bernstein basis and the bé%29&ck%5B%5D=abstract&ck%5B%5D=keyword'>bé;zier curves. Moreover the shape parameter can adjust the curves’ shape with the same control polygon. As the increase of the shape parameter, the bé%29&ck%5B%5D=abstract&ck%5B%5D=keyword'>bé;zier curves with shape parameter approximate to the control polygon. In the last, the bé%29&ck%5B%5D=abstract&ck%5B%5D=keyword'>bé;zier surface with shape parameter is also constructed and it has most properties of bé%29&ck%5B%5D=abstract&ck%5B%5D=keyword'>bé;zier surface.
[1] Chen, Q.Y., Wang, G.Z., 2003. A class of Bézier-like curves. Computer Aided Geometric Design, 20:29-39.
[2] Goodman, T.N.T., Said, H.B., 1991. Properties of generalized Ball curves and surfaces. Computer Aided Design, 23(8):554-560.
[3] Mainar, E., Peńa, J.N., Sânchez-Reys, J., 2001. Shape preserving alternatives to the rational Bézier model. Computer Aided Geometric Design, 15:909-923.
[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.
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