Adjustable Piecewise Quartic Hermite Spline Curve with Parameters

Jin Xie and Xiaoyan Liu

Mathematical Problems in Engineering, 2021, vol. 2021, 1-6

Abstract:

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 C 1 -continuity but also can realize shape control by choosing suitable parameters, which addressed the weakness of the classical cubic Hermite interpolating spline curves.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2264871

DOI: 10.1155/2021/2264871

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