Analysis of Juggling Data: Registration of Functional Data Subject to Biomechanical Constraints

Anders Tolver; Helle Sørensen; Martha Muller; Seyed Nourollah Mousavi

doi:10.1214/14-EJS937F

Analysis of Juggling Data: Registration of Functional Data Subject to Biomechanical Constraints

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

Institut for Matematiske Fag

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Abstract

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.

Originalsprog	Engelsk
Tidsskrift	Electronic Journal of Statistics
Vol/bind	8
Udgave nummer	2
Sider (fra-til)	1856-1864
ISSN	1935-7524
DOI	https://doi.org/10.1214/14-EJS937F
Status	Udgivet - 2014

Adgang til dokumentet

10.1214/14-EJS937F

Analysis of Juggling DataForlagets udgivne version, 514 KB

Citationsformater

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AB - AbstractWe 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.

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