Adjustable Piecewise Quartic Hermite Spline Curve with Parameters | Zendy

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Adjustable Piecewise Quartic Hermite Spline Curve with Parameters

Author(s) -

Jin Xie,

Xiaoyan Liu

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/2264871

Subject(s) - hermite spline , cubic hermite spline , hermite polynomials , mathematics , smoothing spline , quartic function , hermite interpolation , piecewise , monotone cubic interpolation , spline (mechanical) , spline interpolation , mathematical analysis , quartic surface , linear interpolation , pure mathematics , polynomial interpolation , statistics , engineering , bilinear interpolation , structural engineering , polynomial

In this paper, the quartic Hermite parametric interpolating spline curves are formed with the quartic Hermite basis functions with parameters, the parameter selections of the spline curves are investigated, and the criteria for the curve with the shortest arc length and the smoothest curve are given. When the interpolation conditions are set, the proposed spline curves not only achieve C1-continuity but also can realize shape control by choosing suitable parameters, which addressed the weakness of the classical cubic Hermite interpolating spline curves.

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