• 论文 •

形状可调的C2连续三次三角Hermite插值样条

1. 湖南人文科技学院数学系, 湖南娄底 417000
• 收稿日期:2015-04-23 出版日期:2016-04-15 发布日期:2016-05-13
• 基金资助:

湖南省教育厅资助科研项目(14B099);湖南省自然科学基金资助项目(13JJ6081).

Li Juncheng, Liu Chengzhi. SHAPE-ADJUSTABLE AND C2 CONTINUOUS CUBIC TRIGONOMETRIC HERMITE INTERPOLATION SPLINE[J]. Mathematica Numerica Sinica, 2016, 38(2): 187-199.

SHAPE-ADJUSTABLE AND C2 CONTINUOUS CUBIC TRIGONOMETRIC HERMITE INTERPOLATION SPLINE

Li Juncheng, Liu Chengzhi

1. Department of Mathematics, Hunan Institute of Humanities, Science and Technology, Loudi 417000, Hunan, China
• Received:2015-04-23 Online:2016-04-15 Published:2016-05-13

This paper presents a class of shape-adjustable cubic trigonometric Hermite interpolation spline based on the space{1, sint, cost, sin2t, sin3t, cos3t}, which shares the main properties of the Hermite-type interpolation spline with parameters. The proposed spline not only automatically satisfies C2 continuity when the interpolation nodes are equally spaced, but also can be adjusted by the parameters. Under the proper conditions, the corresponding Ferguson curve can precisely represent some general curves in engineering.

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 [1] 谢进, 檀结庆, 刘植, 李声锋. 一类带参数的有理三次三角Hermite插值样条[J]. 计算数学, 2011, 33(2): 125-132.