Generalized Bezier curve: alpha Bezier curve

Guicang Zhang; Yujin Zhang; Shaojun Cui; Huifang Feng

doi:10.1117/12.477099

31 July 2002 Generalized Bezier curve: α Bezier curve

Guicang Zhang, Yujin Zhang, Shaojun Cui, Huifang Feng

Proceedings Volume 4875, Second International Conference on Image and Graphics; (2002) https://doi.org/10.1117/12.477099
Event: Second International Conference on Image and Graphics, 2002, Hefei, China

Abstract

Combining the concept of weights in rational curves with singular blending technique, we have generalized Bézier curve to a generalized Bézier curve denoted as a -Bézier curve. Its shape-control capability is much better than that of Bézier curve; thus, ? Bézier curve is more useful in free curve and surface designing. Bézier curve can be converted into an a Bézier curve by adding blending parameter to control vertices of Bézier curve. The properties of a Bézier curve are studied in details, and the effects of the blending parameters are investigated. By varying the blending parameters the curve can be reshaped, so it is brightly useful in the applications of CAD/CAM.

Citation Download Citation

Guicang Zhang, Yujin Zhang, Shaojun Cui, and Huifang Feng "Generalized Bezier curve: α Bezier curve", Proc. SPIE 4875, Second International Conference on Image and Graphics, (31 July 2002); https://doi.org/10.1117/12.477099

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