带形状参数的三角多项式均匀B样条

Trigonometric Polynomial Uniform B-Spline with Shape Parameter

该文给出了n阶带形状参数的三角多项式均匀B样条基函数.由带形状参数的三角多项式均匀B样条基组成的样条曲线可通过改变形状参数的取值而调整曲线的形状,并且可以精确表示圆、椭圆、螺旋线等曲线.随着阶数的升高,形状参数的取值范围将扩大.

The basis function of nth order trigonometric 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 circle, ellipse and helices can be represented with this basis function accurately. With the elevation of order, feasible range of the shape parameter value is extended.