doi: 10.4304/jsw.6.9.1632-1639
On a Generalization of Cubic Spline Interpolation
- 1 School of Computer Science and Technology, Jiangsu University of Science and Technology, Zhenjiang 212003, China
- 2 Key Laboratory of Intelligent Information Processing, Institute of Computing Technology, Chinese Academy of Sciences, Beijing 100080, China
Abstract
Based on analysis of basic cubic spline interpolation, the clamped cubic spline interpolation is generalized in this paper. The methods are presented on the condition that the first derivative and second derivative of arbitrary node are given. The Clamped spline and Curvature-adjusted cubic spline are also generalized. The methods are presented on the condition that the first derivatives of arbitrary two nodes or second derivatives of arbitrary two node are given. At last, these calculation methods are illustrated through examples.
Keywords
- cubic spline function
- boundary
- clamped
How to Cite
Shang Gao, Zaiyue Zhang, and Cungen Cao, "On a Generalization of Cubic Spline Interpolation," Journal of Software, vol. 6, no. 9, pp. 1632-1639, 2011. https://doi.org/ 10.4304/jsw.6.9.1632-1639
Copyright & License
Copyright © 2011 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).