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Spatiotemporal representation of 3D hand trajectory based on beta-elliptic models

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  • Houcine Boubaker
  • Nasser Rezzoug
  • Monji Kherallah
  • Philippe Gorce
  • Adel M. Alimi

Abstract

The aim of this paper was to model the hand trajectory during grasping by an extension in 3D of the 2D written language beta-elliptic model. The interest of this model is that it takes into account both geometric and velocity information. The method relies on the decomposition of the task space trajectories in elementary bricks. The latter is characterized by a velocity profile modelled with beta functions and a geometry modelled with elliptic shapes. A data base of grasping movements has been constructed and the errors of reconstruction were assessed (distance and curvature) considering two variations of the beta-elliptic model (‘quarter ellipse’ and ‘two tangents points’ method). The results showed that the method based on two tangent points outperforms the quarter ellipse method with average and maximum relative errors of 2.73% and 8.62%, respectively, and a maximum curvature error of 9.26% for the former. This modelling approach can find interesting application to characterize the improvement due to a rehabilitation or teaching process by a quantitative measurement of hand trajectory parameters.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:gcmbxx:v:18:y:2015:i:15:p:1632-1647
    DOI: 10.1080/10255842.2014.940331
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    References listed on IDEAS

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    1. Alshabani, A.K.S. & Dryden, I.L. & Litton, C.D., 2007. "Partial size-and-shape distributions," Journal of Multivariate Analysis, Elsevier, vol. 98(10), pages 1988-2001, November.
    2. 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.
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