Conformal and G1 Continuous Connection of NURBS Curves

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Abstract:

This paper converts a NURBS curve to piecewise rational Bézier curves by knot insertion algorithm, and then discusses the algorithm of continuous connection of NURBS curves. Meanwhile, explores the method to keep the same shape of the NURBS curves after connecting through the point translation and vector rotation theory. Finally, gives an instance to verify the validity of the algorithm.

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Periodical:

Advanced Materials Research (Volumes 756-759)

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3826-3830

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Online since:

September 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] Piegl L. J. IEEE Computer Graphics & Applications, 1991, p.55.

Google Scholar

[2] Zhu Xinxiong: Freedom of curve and surface modeling technology (Science Press, China 2000).

Google Scholar

[3] Chen Baoping, Zhao Junlan, Yin Zhiling. J. Journal of Inner Mongolia University (Nature Science), Vol. 39(3) (2008), p.357.

Google Scholar

[4] Lu Dianjun. J. Jonrnal of Qinghai University (Nature Science), Vol: 22(6) (2004), p.84.

Google Scholar

[5] Fan Jianhua, Wu Yijie, Lin Xing. J. Journal of Computer-Aided Design & Computer Graphics, Vol: 14(5) (2002), p.421.

Google Scholar

[6] L Piegl, W Tiller: The NURBS Book (2nd edition) (Springer Press, USA 1997).

Google Scholar

[7] Wang Guojin, Wang Guozhao, Zhen Jianmin: Computer Aided Geometric Design (Higher Education Press, China 2001).

Google Scholar

[8] Wang Hong. J. Journal of Xi'an Highway University, Vol: 3(20) (2000), p.120.

Google Scholar