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Data smoothing by splines with free knots

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Abstract

A smoother based on an adaptive cubic model [1, 2] and splines with free knots is proposed. The model uses three reference data points and two parameters of control for estimation of a near optimal position of knots at the axis x in autotracking mode. The data points are prethinned and corrected by local linear fitting. The coefficient table is obtained by standard spline procedure. The efficiency and the stability of the smoother w.r.t. random errors are shown on real noisy data.

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Dikoussar, N.D., Török, C. Data smoothing by splines with free knots. Phys. Part. Nuclei Lett. 5, 324–327 (2008). https://doi.org/10.1134/S1547477108030394

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  • DOI: https://doi.org/10.1134/S1547477108030394

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