二次C-曲线研究  

The Study of Quadric C-Curves

作　　者：郭清伟[1] 陈国琪[1] 

机构地区：[1]合肥工业大学理学院,合肥230009

出　　处：《大学数学》2006年第1期34-37,共4页College Mathematics

基　　金：国家自然科学基金(60473114)

摘　　要：给出具有相同控制顶点的二次C-曲线与二次有理Bézier曲线表示同一参数曲线段的充要条件,由此得到了二次C-曲线不能精确表示双曲线段的结论;另外,还给出了二次C-曲线在任意一点的细分公式.A sufficient and essential condition, which the quadric C-curve and the quadric rational Bézier curve represent a same quadric curve, is obtained if the control points of the quadric C-curve are the same as the ones of the quadric rational Bézier curve. By this sufficient and essential condition, we conclude that the quadric C-curve can not accurately represent the hyperbola. Furthermore, the subdivision formula of the quadric C-curve is presented at its arbitrary point.

关 键 词：二次C-曲线 二次有理Bézier曲线 细分 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]