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Proceedings Paper

Generalized Bezier curve: alpha Bezier curve
Author(s): Guicang Zhang; Yujin Zhang; Shaojun Cui; Huifang Feng
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Paper 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.

Paper Details

Date Published: 31 July 2002
PDF: 6 pages
Proc. SPIE 4875, Second International Conference on Image and Graphics, (31 July 2002); doi: 10.1117/12.477099
Show Author Affiliations
Guicang Zhang, Northwest Normal Univ. (China)
Yujin Zhang, Tsinghua Univ. (China)
Shaojun Cui, Northwest Normal Univ. (China)
Huifang Feng, Northwest Normal Univ. (China)

Published in SPIE Proceedings Vol. 4875:
Second International Conference on Image and Graphics
Wei Sui, Editor(s)

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