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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 397-400Transformation Formulas between Bézier Curve and...

Transformation Formulas between Bézier Curve and Partial said-Ball Curve

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Abstract:

Based on previous work, which presented theorems and algorithms for generating a new type of generalized Ball curve (Partial Said-Ball curve), the present study supplements the transformation formula from a Bézier curve to a Partial Said-Ball curve and prove the corresponding theorem. All the results are useful for the application of generalized Ball curves and their popularization in Computer Aided Geometric Design.

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Advanced Design and Manufacturing Technology III

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Periodical:

Applied Mechanics and Materials (Volumes 397-400)

Pages:

2487-2490

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.397-400.2487

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Cite this paper

Online since:

September 2013

Authors:

Wei Xue, Ping Xi, Yi Duo Wang

Keywords:

Bezier Curve, Generalized Ball Curve, Partial Said-Ball Curve

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Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

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Citation:

[1] Y.D. Wang, B.F. Hu, P. Xi and W. Xue: Advanced Science Letters Vol. 4 (2011), p.2986.

[2] C. Rabut: Computer-Aided Design Vol. 34 (2002), p.493.

[3] A. Ball: Computer-Aided Design Vol. 6 (1974), p.243.

[4] A. Ball: Computer-Aided Design Vol. 7 (1975), p.237.

[5] A. Ball: Computer-Aided Design Vol. 9 (1977), p.9.

[6] T. Goodman and H. Said: Computer Aided Geometric Design Vol. 8 (1991), p.115.

[7] T. Goodman and H. Said: Computer-Aided Design Vol. 23 (1991), p.554.

[8] S.M. Hu, G.J. Wang and T.G. Jin: Computer-Aided Design Vol. 28 (1996), p.125.

[9] H. Phien and N. Dejdumrong: Computer Aided Geometric Design Vol. 17 (2000), p.247.

DOI: 10.1016/s0167-8396(99)00048-5

[10] H. Said: ACT Transaction on Graphics Vol. 8 (1989), p.360.

[11] G.J. Wang: Applied Mathematics: A Journal of Chinese Universities Vol. 2 (1987), p.126.

[12] G.J. Wang and M. Cheng: Progress in natural Science Vol. 11 (2001), p.142.

[13] D. Yu and X. Chen: Acta Mathematica Scientia Vol. 27 (2007), p.897.

[14] J. Delgado and J. M. Peña: Computer Aided Geometric Design Vol. 20 (2003), p.1.

[15] S.R. Jiang and G.J. Wang: Mathematical and Computer Modelling Vol. 49 (2005), p.321.

[16] Y.D. Wang, H.T. Lang, W. Xue and C.R. Xie: 2012 IEEE International conference on Computer Science and Automation Engineering(CSAE), p.665.

[17] H.Y. Hu: Applied Mathematics: A Journal of Chinese Universities (Ser. B) Vol. 15 (2000), p.109.