Bézier-Said型曲线  

Bézier-Said type curves

作　　者：汪志华[1] 陈素根[1] 苏本跃[1] 

机构地区：[1]安庆师范学院数学与计算科学学院,安徽安庆246011

出　　处：《计算机工程与应用》2015年第3期148-151,共4页Computer Engineering and Applications

基　　金：安徽省教育厅自然科学研究项目(No.KJ2012B088;No.KJ2012B089);安庆师范学院青年科研基金项目(No.KJ201017;No.KJ201018)

摘　　要：为了扩大自由型曲线曲面的选择范围,提出了一族介于Bézier曲线与Said-Ball曲线之间的新型曲线,在形式上将Bézier曲线与Said-Ball曲线统一起来,并对这一族曲线的性质进行了研究。同时给出了有关的升阶公式以及将基函数用Bernstein多项式来表示的系数公式。In order to enlarge the extension of free form curve and surface, this paper presents one family new curves which are between Bézier curves and Said-Ball curves. The new curves unify representation of Bézier curves and Said-Ball curves. This paper also studies the properties of this family curves. The relative degree elevation scheme and explicit conversion formulas to Bernstein polynomial of the family new curves are studied in this paper.

关 键 词：SAID-BALL曲线 BÉZIER曲线 升阶 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]