Representation of Developable Surfaces and Achievement of the Algorithm


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In order to overcome the difficulties in representation of developable surfaces utilizing traditional approaches, and resolve the problems in adjusting and controlling the position and shape of developable surfaces that often faced in Engineering. In this paper, we propose a directly explicit and efficient method of computer-aided design for developable surfaces based on triangle-B spline. The shapes of developable surfaces can be adjusted using a control parameter. Meanwhile, we show that the techniques for the geometric design of developable surfaces in this paper have all the characteristics of existing approaches for curves design. The algorithms are explained in detail, and demonstrated with the examples in the paper.



Materials Science Forum (Volumes 532-533)

Edited by:

Chengyu Jiang, Geng Liu, Dinghua Zhang and Xipeng Xu




M. Zhou et al., "Representation of Developable Surfaces and Achievement of the Algorithm", Materials Science Forum, Vols. 532-533, pp. 813-816, 2006

Online since:

December 2006




[1] G. Aumann: Journal of Theoretical Graphics and Computing, (1994) No. 7, pp.12-26.

[2] H. Pottmann and G. Farin: Computer Aided Geometric Design, (1995) No. 12, pp.513-531.


[3] H. Pottmann and J. Wallner: Computer Aided Geometric Design, (1999) No. 16, pp.539-556.


[4] J.S. Chalfant and T. Maekawa: Journal of Ship Research, Vol. 42 (1998) No. 3, pp.207-215.

[5] Frey and H. William: Internet J. Found. Comput. Sci., Vol. 13 (2002) No. 2, pp.285-302.