带双参数的Bézier型三角多项式曲线  

BZIER-TYPE TRIGONOMETRIC POLYNOMIAL CURVES WITH TWO PARAMETER

作　　者：张元巨 黄有度[2] 

机构地区：[1]宁波技师学院基础教研室,浙江宁波315032 [2]合肥工业大学理学院,安徽合肥230009

出　　处：《计算机应用与软件》2008年第11期236-237,255,共3页Computer Applications and Software

摘　　要：给出了带有双参数的三角多项式曲线,称为λT-Bézier曲线。其不但具有Bézier曲线类似的性质,还可以表示二次曲线、超越曲线。对参数的不同设置使得曲线具有较强的可调性——λ_1+λ_2越大曲线越靠近控制多边形。在拼接时可达G^3连续。实例给出了该类曲线的有效性。A new kind of trigonometric polynomial curves with two parameters, AT-Bézier curves,is presented. The curves not only have the properties of traditional Bézier curves, but also can represent some quadric curves and elliptic curves. The enactment of parameters λ1, λ2 makes the curves modulatory---the more λ1 ＋ λ2 ,the nearer between the curves and the control polygon. The junction can come to G^3 continuity when two sections join together. The examples illustrate the availability of this kind of curves.

关 键 词：三角多项式 BÉZIER曲线 λT—Bézier曲线 参数 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术] TU471.2[自动化与计算机技术—计算机科学与技术]