基于曲线线性组合的三次Bézier曲线的拓展  

THE EXTENSION OF CUBIC Bézier CURVES BASED ON LINEAR COMBINATION OF CURVES

作　　者：邹静[1] 梁锡坤[1] 

机构地区：[1]杭州师范大学杭州国际服务工程学院,浙江杭州310012

出　　处：《计算机应用与软件》2012年第2期210-212,共3页Computer Applications and Software

摘　　要：为了在几何造型中更加灵活地调控曲线曲面的形状,利用曲线线性组合的思想,对三次Bézier曲线进行了拓展,拓展曲线包含了原曲线的基本形式,比传统的拓展曲线表达简单。讨论了拓展曲线的性质,最后通过实例表明:定义的曲线为曲线的设计提供了一种有效的方法。In order to be more flexible in controlling the shape of curves and surfaces,the cubic Bézier curve is extended based on the idea of linear combination of curves.The extended curve maintains the basic form of original curves,but its expression is relatively simpler than the traditional extension form of cubic Bézier curve.The property of the extended curve is discussed.Finally,numerical examples are also given to illustrate that the defined curve provides an effective method for curves design.

关 键 词：线性组合 BÉZIER曲线 形状因子 拓展 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]