CAJ | 학술논문

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。
제출일충보단조적이차양조Hermite삽치방법。해방법재연구총결기타이차양조삽치방법적기출상，통과설정괄당적결점사솔보증료삽치곡선적단조성，병차급출료산법적엄격증명；해산법재일개급정적점렬상진행료험증，험증결과표명해산법가이득출련속、평활적삽치곡선，구비교위우수적성능。
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 .