带形状参数的双曲多项式均匀B样条

Hyperbolic Polynomial Uniform B-Spline with Shape Parameter

给出了n阶带形状参数的双曲多项式均匀B样条基函数.由带形状参数的双曲多项式均匀B样条基组成的样条曲线可通过改变形状参数的取值调整曲线的形状,并且可以精确表示双曲线.随着阶数的升高,形状参数的取值范围将扩大.

The basis function of n order hyperbolic polynomial uniform B-spline with shape parameter is constructed so that the shape of the constructed curve can be adjusted by changing the parameter value. The hyperbola can be represented with this basis function accurately. With elevation of the order, feasible range of the shape parameter value is extended.