Electronic Journal of Statistics

Analysis of juggling data: Landmark and continuous registration of juggling trajectories

James O. Ramsay, Paul Gribble, and Sebastian Kurtek

Full-text: Open access

Abstract

This paper focuses on the two one-dimensional summaries of the three-dimensional juggling data: tangential velocity and tangential acceleration. These are used jointly to define the beginnings and endings of the 123 cycles in the data divided unevenly over ten trials. Two levels of registration were used. The first was a landmark registration of each trial to a periodic image of itself with the period fixed at 712 milliseconds. The 123 tangential velocity cycles were then subjected to a continuous registration over this fixed cycle length. The amounts of across-trial and within-cycle phase variation, respectively, were surprisingly small, indicating tight neural control over the behavior. Within-cycle phase variation was primarily due to variation in the trajectories of the ball between throw and catch.

Article information

Source
Electron. J. Statist. Volume 8, Number 2 (2014), 1835-1841.

Dates
First available in Project Euclid: 29 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.ejs/1414588170

Digital Object Identifier
doi:10.1214/14-EJS937C

Mathematical Reviews number (MathSciNet)
MR3273602

Zentralblatt MATH identifier
1305.62019

Keywords
Functional data analysis juggling trajectories phase variation landmark registration continuous registration

Citation

Ramsay, James O.; Gribble, Paul; Kurtek, Sebastian. Analysis of juggling data: Landmark and continuous registration of juggling trajectories. Electron. J. Statist. 8 (2014), no. 2, 1835--1841. doi:10.1214/14-EJS937C. https://projecteuclid.org/euclid.ejs/1414588170.


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References

  • [1] Ramsay, J.O., Gribble, P., 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.
  • [2] Ramsay, J.O., Silverman, B.W. (2005)., Functional Data Analysis. Springer, New York.

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.