A Class of Polynomial Spline Curve with Free Parameters that Naturally Interpolates the Data Points

In this paper, we present a class of polynomial spline curve that can naturally interpolate the given data points. The proposed curve is C3 and can be adjusted by two free parameters when the data points are kept unchanged. In addition, we give three selection schemes of the free parameters for cons...

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Bibliographic Details
Published inIAENG international journal of applied mathematics Vol. 50; no. 3; pp. 1 - 5
Main Authors Li, Juncheng, Liu, Chengzhi
Format Journal Article
LanguageEnglish
Published Hong Kong International Association of Engineers 01.09.2020
Subjects
Data points
Energy
Parameters
Polynomials
Spline functions
Symmetry
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Summary:In this paper, we present a class of polynomial spline curve that can naturally interpolate the given data points. The proposed curve is C3 and can be adjusted by two free parameters when the data points are kept unchanged. In addition, we give three selection schemes of the free parameters for constructing the curve with approximate shortest arc length, the curve with approximate smallest strain energy and the curve with approximate shortest arc length and smallest strain energy.
ISSN:1992-9978
1992-9986