Quadratic TC-Bézier Curves with Shape Parameter

Wei Xiang Xu; Liu Qiang Wang; Xu Min Liu

doi:10.4028/www.scientific.net/AMR.179-180.1187

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 179-180Quadratic TC-Bézier Curves with Shape Parameter

Quadratic TC-Bézier Curves with Shape Parameter

Abstract:

Quadratic TC-Bézier curves with shape parameter is constructed in a special space, it shares most optimal properties as those of the quadratic Bézier curves and its shape can be adjusted by changing the parameter value in . The circle and ellipse can be represented with this curve accurately. Presents G1 condition of quadratic TC-Bézier curves, the results have definite geometric meanings and can be applied to surface modeling conveniently.

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Periodical:

Advanced Materials Research (Volumes 179-180)

Pages:

1187-1192

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.179-180.1187

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Online since:

January 2011

Authors:

Wei Xiang Xu, Liu Qiang Wang, Xu Min Liu

Keywords:

Continuity, Surface Modeling, TC-Bézier Basis, TC-Bézier Curve

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References

[1] Les Piegl, Wayne Tiller. The NURBS Book. 2nd edition. Springer New York, (1997).

Google Scholar

[2] Zhang J.W. C-curves: An extension of cubic curves, Computer Aided Geometric Design, 13: 199-217, (1996).

DOI: 10.1016/0167-8396(95)00022-4

Google Scholar

[3] Zhang J.W. Two different forms of C-B-splines, Computer Aided Geometric Design, 14: 31-41, (1997).

DOI: 10.1016/s0167-8396(96)00019-2

Google Scholar

[4] Main E. Peňa J.M. Sānchez-Reyes J, Shape preserving alternatives to the rational Bézier model, Computer Aided Geometric Design, 18: 37-60, (2001).

DOI: 10.1016/s0167-8396(01)00011-5

Google Scholar

[5] Wang W, Wang G, Trigonometric polynomial uniform B-spline with shape parameter, Chinese Journal of Computer, 7: 1192-1198, (2005).

Google Scholar

[6] Wang G, Wang G, Zheng J, CAGD, High Education Press, Beijing, (2001).

Google Scholar

[7] G Farin, Curves and Surfaces for Computer-Aided Geometric Design-A Practical Guide, 4th edition. Academic Press, San Diego, (1997).

Google Scholar