×

Analysis of juggling data: landmark and continuous registration of juggling trajectories. (English) Zbl 1305.62019

Summary: 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.
(Comment on [J. O. Ramsay et al., ibid. 8, No. 2, 1811–1816 (2014; Zbl 1305.62018)].)

MSC:

62-07 Data analysis (statistics) (MSC2010)
62A09 Graphical methods in statistics

Citations:

Zbl 1305.62018

Software:

fda (R)

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. · Zbl 1305.62018 · doi:10.1214/14-EJS937
[2] Ramsay, J.O., Silverman, B.W. (2005)., Functional Data Analysis . Springer, New York. · Zbl 1079.62006
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.