C^1保单调有理三次插值

C^1 Monotonicity Preserving Rational Cubic Interpolation

本文提出一种构造C1保单调的有理三次插值函数的方法 ,所构造的插值函数分子分母都是三次多项式。由于函数表达式中含有调节参数 ,这使得插值曲线更具灵活性。

In this paper,a monotonicity preserving piecewise rational cubic interpolation function with cubic denominator is constructed,the interpolation function is C 1 continuous.Because the interpolant has a adjustable parameter,the interpolation curve has more flexibility.