Electronic Journal of Statistics

Analysis of juggling data: Registration subject to biomechanical constraints

Anders Tolver, Helle Sørensen, Martha Muller, and Seyed Nourollah Mousavi

Full-text: Open access

Abstract

We illustrate how physical constraints of a biomechanical system can be taken into account when registering functional data from juggling trials. We define an idealized model of juggling, based on a periodic joint movement in a low-dimensional space and a periodic position vector (from an undefined joint to the finger tip) of approximately constant length along the observed trajectory. Our registration procedure first warps the cycles in the trial to each other and computes a periodic average, and then estimates the joint movement and the position vector of the abovementioned model.

Article information

Source
Electron. J. Statist., Volume 8, Number 2 (2014), 1856-1864.

Dates
First available in Project Euclid: 29 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.ejs/1414588173

Digital Object Identifier
doi:10.1214/14-EJS937F

Mathematical Reviews number (MathSciNet)
MR3273605

Zentralblatt MATH identifier
1305.62021

Keywords
Biomechanical constraints decomposition functional data analysis juggling trajectories periodic average registration warping

Citation

Tolver, Anders; Sørensen, Helle; Muller, Martha; Mousavi, Seyed Nourollah. Analysis of juggling data: Registration subject to biomechanical constraints. Electron. J. Statist. 8 (2014), no. 2, 1856--1864. doi:10.1214/14-EJS937F. https://projecteuclid.org/euclid.ejs/1414588173


Export citation

References

  • [1] Kneip, A. and Ramsay, J. O. (2008). Combining registration and fitting for functional models., Journal of the American Statistical Association 103, 483, 1155–1165. http://amstat.tandfonline.com/doi/abs/10.1198/016214508000000517.
  • [2] Ramsay, J. O., Gribble, P., and Kurtek, S. (2014). Description and processing of functional data arising from juggling trajectories., Electron. J. Statist. 8, 1811–1816, Special Section on Statistics of Time Warpings and Phase Variations.
  • [3] Ramsay, J. O. and Silverman, B. W. (2005)., Functional Data Analysis, Second ed. Springer, New York.
  • [4] Schaal, S., Atkeson, C. G., and Sternad, D. (1996). One-handed juggling: A dynamical approach to a rhythmic movement task., Journal of Motor Behavior 28, 2, 165–183.

See also

  • Related item: Ramsay, J. O., Gribble, P., and Kurtek, S. (2014). Description and processing of functional data arising from juggling trajectories. Electron. J. Statist. 8 1811–1816.