一类广义的三角多项式均匀B样条曲线

A Generalized Trigonometric Polynomial Uniform B-Spline with Shape Parameter

为了实现从均匀B样条曲线到三角多项式均匀B样条曲线的过渡,定义了一种n阶广义的三角多项式均匀B样条曲线.这种样条曲线包含了n阶均匀B样条曲线和n阶三角多项式均匀B样条曲线以及介于它们之间的无数曲线,随着阶数的升高,形状参数的取值范围也将扩大.

In order to realize the transition from uniform B-spline to trigonometric polynomial uniform B-spline curves,the curve of nth order generalized trigonometric polynomial uniform B-spline is defined.The curve contains the nth order uniform B-spline,trigonometric polynomial uniform B-spline curve and many curves between them.With the elevation of order,feasible range of the shape parameter value is extended too.