A Fortran package for generalized, cross-validatory spline smoothing and differentiation

Woltring, Herman J.

Affiliations

¹Philips Medical Systems Division, Building QA-II, P.O. Box 218, NL-5600 MD Eindhoven, The Netherlands

²University of Nijmegen, The Netherlands

Abstract

Based on the spline software of Lyche et al.,¹ a subroutine package is presented in which the amount of smoothing on a set of n noisy datapoints is determined from the data by means of the Generalized Cross-Validation (GCV) or predicted Mean-Squared Error (MSE) criteria of Wahba² and her collaborators. Following an idea of Hutchinson and de Hoog,³ an efficient O (m²n) algorithm is used for calculating the criterion functions, where 2m is the order of the spline function. In this fashion, earlier O (n³) approaches based on the singular value decomposition can be avoided.

Links

DOI: 10.1016/0141-1195(86)90098-7

WoS: A1986C649400006

History

Revised: 1986-04-1

Online: 2003-03-5

Cited By (50)

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2012	Fong DT-P, Ha SC-W, Mok K-M, Chan CW-L, Chan K-M. Kinematics analysis of ankle inversion ligamentous sprain injuries in sports: five cases from televised tennis competitions. Am J Sports Med. November 2012;40(11):2627-2632.
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