The generalized Bezier curve -: α Bezier curve

被引：1

作者：

Zhang, GC ^{[1
]}

Zhang, YJ ^{[1
]}

Cui, SJ ^{[1
]}

Feng, HF ^{[1
]}

机构：

[1] NW Normal Univ, Dept Informat & Comp Sci, Lanzhou 730070, Peoples R China

来源：

SECOND INTERNATION CONFERENCE ON IMAGE AND GRAPHICS, PTS 1 AND 2 | 2002年 / 4875卷

关键词：

Bezier curve; alpha-Bezier curve; CAGD; CAD/CAM; curve design;

D O I：

10.1117/12.477099

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Combining the concept of weights in rational curves with singular blending technique, we have generalized Bezier curve to a generalized Bezier curve denoted as alpha-Bezier curve. Its shape-control capability is much better than that of Bezier curve; thus, a Bezier curve is more useful in free curve and surface designing. Bezier curve can be converted into an a Bezier curve by adding blending parameter to control vertices of Bezier curve. The properties of a Bezier 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.

引用

页码：963 / 968

页数：6

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