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Covariance for time series on Lie groups applied to climbing motion analysis

Abstract : This article describe a method to measure a covariance matrix between two SO(3) based signals. For each one, the mean value is computed. After applying the log map to project each signal in the tangent space of its mean, they are both translated to the same tangent space. A classic covariance matrix can the be determined. Using IMUs attached to the hip and the neck of an indoor climber, it can be used to create an indicator of body kinematics coordination. Studying such coordinations might be useful for determining the climber skills.
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https://hal.archives-ouvertes.fr/hal-01689368
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Submitted on : Monday, January 22, 2018 - 9:05:39 AM
Last modification on : Wednesday, November 3, 2021 - 7:18:18 AM
Long-term archiving on: : Thursday, May 24, 2018 - 6:57:27 AM

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  • HAL Id : hal-01689368, version 1

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Jérémie Boulanger, Ludovic Seifert, Dominic Orth. Covariance for time series on Lie groups applied to climbing motion analysis. GRETSI 2017, Sep 2017, Juan les Pins, France. ⟨hal-01689368⟩

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