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

Department of Mathematical Sciences

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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.

Original language	English
Journal	Electronic Journal of Statistics
Volume	8
Issue number	2
Pages (from-to)	1856-1864
ISSN	1935-7524
DOIs	https://doi.org/10.1214/14-EJS937F
Publication status	Published - 2014

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title = "Analysis of Juggling Data: Registration of Functional Data Subject to Biomechanical Constraints",

abstract = "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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N2 - 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.

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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M3 - Journal article

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