【摘要】 采用NURBS表示给出了一种在平面和空间中建立三圆弧的方法.在平面上建立的三圆弧以一个控制顶点为自由参数,控制三圆弧的形状.但在空间中的三个圆弧不共面时,唯一确定一个三圆弧,不具有自由参数.所构造的三圆弧样条曲线可以在插值点处按切向和曲率插值.最后给出了数值例子.三圆弧样条曲线适合于在数控加工等方面应用.更多还原

【Abstract】 Expressed by NURBS,a method for building plane and space triarc is presented.On the plane a triarc builded has one free parameter by one control point,controling the shape of the triarc.But in the space,if the three arcs is not on the same plane,the triarc is unique,doesn’t have free parameter.The triarc splines can interpolate,match tangents and curvatures at the interpolation points.In the end,the numeric examples are given.The triarc splines are useful in the application of CNC and so on.更多还原