一种二次样条保单调Hermite插值方法

A Monotonicity-preserving Quadratic Spline Hermite Interpolation Method

提出一种保单调的二次样条Hermite插值方法。该方法在研究总结其他二次样条插值方法的基础上,通过设定适当的结点斜率保证了插值曲线的单调性,并且给出了算法的严格证明;该算法在一个给定的点列上进行了验证,验证结果表明该算法可以得出连续、平滑的插值曲线,具备较为优秀的性能。

A method of monotonicity-preserving quadratic spline Hermite interpolation is proposed. The method preserves the monotonicity of a points sequence by setting appropriate knots slopes based on the deep research of previous methods. Meantime, a strict proof is provided. After that, a points sequence experiment is carried out to test the performance of the method proposed in this paper. The result of experiment shows that the method can interpolate the points sequence to a monotonicity-preserving and smooth curves. So the method is of the excellent performance in monotonicity-preserving interpolations.