数学研究通讯

2019, v.35(03) 219-224

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Planar Cubic G~1 Hermite Interpolant with Minimal Quadratic Oscillation in Average
Planar Cubic G~1 Hermite Interpolant with Minimal Quadratic Oscillation in Average

LI JUN-CHENG;

摘要(Abstract):

In this paper we apply a new method to choose suitable free parameters of the planar cubic G1 Hermite interpolant. The method provides the cubic G1 Hermite interpolant with minimal quadratic oscillation in average. We can use the method to construct the optimal shape-preserving interpolant. Some numerical examples are presented to illustrate the effectiveness of the method.

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基金项目(Foundation): The Scientific Research Fund (18A415) of Hunan Provincial Education Department

作者(Author): LI JUN-CHENG;

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