一类带形状参数的三次均匀B样条曲线

A Class of Cubic Uniform B-spline Curve with Shape Parameters

利用三次多项式调配函数构造三次均匀B样条基,基于该基函数建立了一类带形状参数的三次均匀B样条曲线,形状参数的值用于调整曲线的形状,描述曲线接近其控制多边形的程度;选取的形状参数不同,得到的连续曲线不同.最后给出曲线设计的实例.

The cubic uniform B-spline basis is constructed by using the cubic polynomial blending functions.On this basis,the B-spline curve with shape parameters is built,and the value of the shape parameters is used for adjusting the shape of cubic polynomial curves.Different shape parameters can receive different continuous curve.At last,the instance of curve design is given.