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

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【作者】 LI JUN-CHENG

【Author】 LI JUN-CHENG;College of Mathematics and Finance, Hunan University of Humanities,Science and Technology;

【机构】 College of Mathematics and Finance, Hunan University of Humanities,Science and Technology

【摘要】 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.

【基金】 The Scientific Research Fund (18A415) of Hunan Provincial Education Department
  • 【DOI】10.13447/j.1674-5647.2019.03.03
  • 【分类号】O241.3
  • 【下载频次】5
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