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Modelling three‐dimensional trajectories by using Bézier curves with application to hand motion

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  • Julian J. Faraway
  • Matthew P. Reed
  • Jing Wang

Abstract

Summary. A modelling approach for three‐dimensional trajectories with particular application to hand reaching motions is described. Bézier curves are defined by control points which have a convenient geometrical interpretation. A fitting method for the control points to trajectory data is described. These fitted control points are then linked to covariates of interest by using a regression model. This allows the prediction of new trajectories and the ability to model the variability in trajectories. The methodology is illustrated with an application to hand trajectory modelling for ergonomics. Motion capture was used to collect a total of about 2000 hand trajectories performed by 20 subjects to a variety of targets. A simple model with strong predictive performance and interpretablility is developed. The use of hand trajectory models in the digital human models for virtual manufacturing applications is discussed.

Suggested Citation

  • Julian J. Faraway & Matthew P. Reed & Jing Wang, 2007. "Modelling three‐dimensional trajectories by using Bézier curves with application to hand motion," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 56(5), pages 571-585, November.
    • Handle: RePEc:bla:jorssc:v:56:y:2007:i:5:p:571-585
    DOI: 10.1111/j.1467-9876.2007.00592.x
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    Cited by:

    1. Marina A. Samuels & Matthew P. Reed & Kristy B. Arbogast & Thomas Seacrist, 2016. "Modeling spatial trajectories in dynamics testing using basis splines: application to tracking human volunteers in low-speed frontal impacts," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 19(10), pages 1046-1052, July.
    2. Houcine Boubaker & Nasser Rezzoug & Monji Kherallah & Philippe Gorce & Adel M. Alimi, 2015. "Spatiotemporal representation of 3D hand trajectory based on beta-elliptic models," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 18(15), pages 1632-1647, November.

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