带形状参数的k次(k+1阶)均匀B样条

Uniform B-spline of k-th degree with a shape parameter

文章给出了k次带形状参数的均匀B样条基函数,由带形状参数的均匀B样条基函数组成的样条曲线,可通过改变形状参数的取值来调整曲线的形状,随着次数的升高,形状参数的取值范围将扩大,并且接近控制多边形程度较好。

The paper presents the basis function of k-th degree uniform B-spline with a shape parameter, The shape of the constructed curve can be adjusted by changing the parameter value. With the elevation of degree, feasible range of the shape parameter value is extended. The constructed curve can approximate the control polygon well.