Running in circles: Describing running kinematics using Fourier series

Sebastian Deisting Skejø; Morten Enemark Lund; Martin Thorhauge Stensvig; Nickolaj Mads Kaae; John Rasmussen

doi:10.1016/j.jbiomech.2020.110187

Running in circles: Describing running kinematics using Fourier series

Sebastian Deisting Skejø^*, Morten Enemark Lund, Martin Thorhauge Stensvig, Nickolaj Mads Kaae, John Rasmussen

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

4 Citations (Scopus)

Abstract

We explore the use of Fourier series to describe the kinematics of human running. From a database of 285 trials of treadmill running, we drive a musculoskeletal model with 104 anatomical joint angles to obtain kinematics. Using FFT analysis, we determine a fundamental frequency for all independent joint angles and compute average step kinematics. Finally, we represent the average step kinematics using Fourier series with numbers of coefficient pairs ranging from one through ten. We find that five or fewer Fourier coefficient pairs provide an accurate (Pearson's correlation > 0.99 and root mean square difference < 0.5 degrees) representation for most joint angles. In conclusion, Fourier series appear to provide a compact and valid representation of running kinematics, thus enabling researchers to confidently use Fourier series in research of human running.

Original language	English
Article number	110187
Journal	Journal of Biomechanics
Volume	115
Number of pages	4
ISSN	0021-9290
DOIs	https://doi.org/10.1016/j.jbiomech.2020.110187
Publication status	Published - 22 Jan 2021

Keywords

Running
Fourier
Gait
Simulation
Motion analysis

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title = "Running in circles: Describing running kinematics using Fourier series",

abstract = "We explore the use of Fourier series to describe the kinematics of human running. From a database of 285 trials of treadmill running, we drive a musculoskeletal model with 104 anatomical joint angles to obtain kinematics. Using FFT analysis, we determine a fundamental frequency for all independent joint angles and compute average step kinematics. Finally, we represent the average step kinematics using Fourier series with numbers of coefficient pairs ranging from one through ten. We find that five or fewer Fourier coefficient pairs provide an accurate (Pearson's correlation > 0.99 and root mean square difference < 0.5 degrees) representation for most joint angles. In conclusion, Fourier series appear to provide a compact and valid representation of running kinematics, thus enabling researchers to confidently use Fourier series in research of human running.",

keywords = "Running, Fourier, Gait, Simulation, Motion analysis",

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T1 - Running in circles: Describing running kinematics using Fourier series

AU - Skejø, Sebastian Deisting

AU - Lund, Morten Enemark

AU - Stensvig, Martin Thorhauge

AU - Kaae, Nickolaj Mads

AU - Rasmussen, John

PY - 2021/1/22

Y1 - 2021/1/22

N2 - We explore the use of Fourier series to describe the kinematics of human running. From a database of 285 trials of treadmill running, we drive a musculoskeletal model with 104 anatomical joint angles to obtain kinematics. Using FFT analysis, we determine a fundamental frequency for all independent joint angles and compute average step kinematics. Finally, we represent the average step kinematics using Fourier series with numbers of coefficient pairs ranging from one through ten. We find that five or fewer Fourier coefficient pairs provide an accurate (Pearson's correlation > 0.99 and root mean square difference < 0.5 degrees) representation for most joint angles. In conclusion, Fourier series appear to provide a compact and valid representation of running kinematics, thus enabling researchers to confidently use Fourier series in research of human running.

AB - We explore the use of Fourier series to describe the kinematics of human running. From a database of 285 trials of treadmill running, we drive a musculoskeletal model with 104 anatomical joint angles to obtain kinematics. Using FFT analysis, we determine a fundamental frequency for all independent joint angles and compute average step kinematics. Finally, we represent the average step kinematics using Fourier series with numbers of coefficient pairs ranging from one through ten. We find that five or fewer Fourier coefficient pairs provide an accurate (Pearson's correlation > 0.99 and root mean square difference < 0.5 degrees) representation for most joint angles. In conclusion, Fourier series appear to provide a compact and valid representation of running kinematics, thus enabling researchers to confidently use Fourier series in research of human running.

KW - Running

KW - Fourier

KW - Gait

KW - Simulation

KW - Motion analysis

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U2 - 10.1016/j.jbiomech.2020.110187

DO - 10.1016/j.jbiomech.2020.110187

M3 - Journal article

SN - 0021-9290

VL - 115

JO - Journal of Biomechanics

JF - Journal of Biomechanics

M1 - 110187

ER -

Running in circles: Describing running kinematics using Fourier series

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Keywords

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