PMID: 8945665Dec 1, 1996Paper

Endpoint error in smoothing and differentiating raw kinematic data: an evaluation of four popular methods

Journal of Biomechanics
P F Vint, R N Hinrichs

Abstract

'Endpoint error' describes the erratic behavior at the beginning and end of the computed acceleration data which is commonly observed after smoothing and differentiating raw displacement data. To evaluate endpoint error produced by four popular smoothing and differentiating techniques, Lanshammar's (1982, J. Biomechanics 15, 99-105) modification of the Pezzack et al. (1977, J. Biomechanics, 10, 377-382) raw angular displacement data set was truncated at three different locations corresponding to the major peaks in the criterion acceleration curve. Also, for each data subset, three padding conditions were applied. Each data subset was smoothed and differentiated using the Butterworth digital filter, cubic spline, quintic spline, and Fourier series to obtain acceleration values. RMS residual errors were calculated between the computed and criterion accelerations in the endpoint regions. Although no method completely eliminated endpoint error, the results demonstrated clear superiority of the quintic spline over the other three methods in producing accurate acceleration values close to the endpoints of the modified Pezzack et al. (1977) data set. In fact, the quintic spline performed best with non-padded data (cumulative error = 4...Continue Reading

References

Jan 1, 1979·Journal of Biomechanics·G A Wood, L S Jennings
Jan 1, 1977·Journal of Biomechanics·J C PezzackD A Winter
Mar 1, 1992·Medical & Biological Engineering & Computing·M D'Amico, G Ferrigno
Mar 1, 1974·Journal of Biomechanics·D A WinterD A Hobson
Jan 1, 1983·Medicine and Science in Sports and Exercise·S J Phillips, E M Roberts
Sep 1, 1982·International Journal of Bio-medical Computing·C L Vaughan

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Citations

Sep 15, 2015·Journal of Sports Sciences·Chris ConnaboyRoss Sanders
Jun 10, 2016·Sports Biomechanics·Brittany Dowling, Glenn S Fleisig
Mar 7, 2009·Journal of Experimental Zoology. Part A, Ecological Genetics and Physiology·Miriam A Ashley-RossKristy L Johnson
Dec 3, 2009·Medicine and Science in Sports and Exercise·Chris ConnaboyRoss Sanders
Feb 8, 2003·Medical & Biological Engineering & Computing·A M Sabatini
Jun 5, 2007·Sports Biomechanics·Noriyuki TabuchiKen Hashizume
Dec 9, 2003·Sports Biomechanics·Machar Reid, Bruce Elliott
Apr 30, 2019·Journal of Applied Biomechanics·Patrick IppersielShawn M Robbins

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