二次曲线的有理Bézier形式几何特征的计算

The computation of geometrical characteristics of Bézier rational form of quadratic curve

与其它方法相比 ,NURBS方法引入权因子后能精确描述二次曲线 ,并被工程技术所采用 ,但存在几何特征不够直观的缺点 .为此 ,本文用NURBS方法给出了具有直观几何特征的有理B啨ｚｉｅｒ形式的计算公式及其证明 .

In contrast to other methods, method of NURBS with weights can describe quadratic curve accurately and can be adopted by technology of engineer, but its geometrical characteristics was not obvious. According to that, the formula of computation of the geometric characteristic of Bézier rational form of NURBS was given and proved.