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- Title
Univariate cubic L interpolating splines based on the first derivative and on 5-point windows: analysis, algorithm and shape-preserving properties.
- Authors
Jin, Qingwei; Yu, Lu; Lavery, John; Fang, Shu-Cherng
- Abstract
In this paper, univariate cubic L interpolating splines based on the first derivative and on 5-point windows are introduced. Analytical results for minimizing the local spline functional on 5-point windows are presented and, based on these results, an efficient algorithm for calculating the spline coefficients is set up. It is shown that cubic L splines based on the first derivative and on 5-point windows preserve linearity of the original data and avoid extraneous oscillation. Computational examples, including comparison with first-derivative-based cubic L splines calculated by a primal affine algorithm and with second-derivative-based cubic L splines, show the advantages of the first-derivative-based cubic L splines calculated by the new algorithm.
- Subjects
SPLINE theory; UNIVARIATE analysis; INTERPOLATION algorithms; ALGORITHMS; BINOMIAL coefficients
- Publication
Computational Optimization & Applications, 2012, Vol 51, Issue 2, p575
- ISSN
0926-6003
- Publication type
Article
- DOI
10.1007/s10589-011-9426-y