Fitting Biomechanical Data with Cubic Spline Functions
- 17 March 1976
- journal article
- research article
- Published by Taylor & Francis in Research Quarterly. American Alliance for Health, Physical Education and Recreation
- Vol. 47 (1) , 9-19
- https://doi.org/10.1080/10671315.1976.10615335
Abstract
A systematic comparison of orthogonal polynomial and cubic spline function data modeling techniques was conducted for empirical biomechanical data. Kinetic data derived from mathematical modeling and cinematographic techniques, using either polynomial or spline curve fitting and differentiation, were compared to simultaneously recorded force platform data. Results indicated a superiority of the spline functions for modeling the empirical data. Mean percent difference between vertical ground reaction forces recorded by the force platform and the film derived data was less than 5% when spline curve fitting techniques were used. Orthogonal polynomial curve fitting techniques produced a mean percent difference greater than 10% for the same comparison.This publication has 5 references indexed in Scilit:
- Spline Functions in Data AnalysisTechnometrics, 1974
- The mechanics of the knee joint in relation to normal walkingJournal of Biomechanics, 1970
- Smoothing by spline functionsNumerische Mathematik, 1967
- BIO-ENGINEERING STUDIES OF THE FORCES TRANSMITTED BY JOINTSPublished by Elsevier ,1965
- Generation and Use of Orthogonal Polynomials for Data-Fitting with a Digital ComputerJournal of the Society for Industrial and Applied Mathematics, 1957