【作者】 张贵仓； 崔少军； 冯慧芳； 刘雪艳；

【Author】 Zhang Guicang Cui Shaojun Feng Huifang Liu Xueyan (Department of Information and Computing Science Northwest Normal University Lanzhou 730070)

【机构】 西北师范大学信息与计算科学系；

【摘要】 本文应用权的思想结合奇异混合技术,推广了Bézier曲线,得到了一种新的表示曲线的方法α-Bézier曲线,它不仅包含了原来的Bézier曲线而且由于引进了局部控制参数,具有局部的控制和修改能力,特别适合于自由曲线曲面的设计,在CAD/CAM中具有广阔的应用前景。更多还原

【Abstract】 Combining the concept of weights with singular blending technique,we generalize the Bezier curve and denote the generalized Bezier curve asα-Bezier curve,whose shape-control capability is much better than that of Bezier curve;thus theα-Bezier curve is more useful in free curve and surface designing.We convert the Bezier curve into anα-Bezier curve by adding blending parameter to control vertices of the Bezier curve.The base representation form is stdudied.Varying the blending parameters reshape the curve,so it is very hopeful in the applications of CAD/CAM.更多还原