Upper Limb Joint Angle Estimation Using Wearable IMUs and Personalized Calibration Algorithm

In physical therapy, exercises improve range of motion, muscle strength, and flexibility, where motion-tracking devices record motion data during exercises to improve treatment outcomes. Cameras and inertial measurement units (IMUs) are the basis of these devices. However, issues such as occlusion,...

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Main Authors: Md. Mahmudur Rahman, Kok Beng Gan, Noor Azah Abd Aziz, Audrey Huong, Huay Woon You
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/4/970
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author Md. Mahmudur Rahman
Kok Beng Gan
Noor Azah Abd Aziz
Audrey Huong
Huay Woon You
author_facet Md. Mahmudur Rahman
Kok Beng Gan
Noor Azah Abd Aziz
Audrey Huong
Huay Woon You
author_sort Md. Mahmudur Rahman
collection DOAJ
description In physical therapy, exercises improve range of motion, muscle strength, and flexibility, where motion-tracking devices record motion data during exercises to improve treatment outcomes. Cameras and inertial measurement units (IMUs) are the basis of these devices. However, issues such as occlusion, privacy, and illumination can restrict vision-based systems. In these circumstances, IMUs may be employed to focus on a patient’s progress quantitatively during their rehabilitation. In this study, a 3D rigid body that can substitute a human arm was developed, and a two-stage algorithm was designed, implemented, and validated to estimate the elbow joint angle of that rigid body using three IMUs and incorporating the Madgwick filter to fuse multiple sensor data. Two electro-goniometers (EGs) were linked to the rigid body to verify the accuracy of the joint angle measuring algorithm. Additionally, the algorithm’s stability was confirmed even in the presence of external acceleration. Multiple trials using the proposed algorithm estimated the elbow joint angle of the rigid body with a maximum RMSE of 0.46°. Using the IMU manufacturer’s (WitMotion) algorithm (Kalman filter), the maximum RMSE was 1.97°. For the fourth trial, joint angles were also calculated with external acceleration, and the RMSE was 0.996°. In all cases, the joint angles were within therapeutic limits.
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spelling doaj.art-d49c9aad457646a69bc71bd315d3b5e72023-11-16T21:56:33ZengMDPI AGMathematics2227-73902023-02-0111497010.3390/math11040970Upper Limb Joint Angle Estimation Using Wearable IMUs and Personalized Calibration AlgorithmMd. Mahmudur Rahman0Kok Beng Gan1Noor Azah Abd Aziz2Audrey Huong3Huay Woon You4Department of Electrical, Electronic and Systems Engineering, Universiti Kebangsaan Malaysia, Bangi 43600, MalaysiaMedical Engineering and Systems Research Group, Department of Electrical, Electronic and Systems Engineering, Universiti Kebangsaan Malaysia, Bangi 43600, MalaysiaDepartment of Family Medicine, Faculty of Medicine, Universiti Kebangsaan Malaysia Medical Centre, Kuala Lumpur 56000, MalaysiaDepartment of Electronic Engineering, Universiti Tun Hussein Onn Malaysia, Parit Raja 86400, MalaysiaPusat GENIUS@Pintar Negara, Universiti Kebangsaan Malaysia, Bangi 43600, MalaysiaIn physical therapy, exercises improve range of motion, muscle strength, and flexibility, where motion-tracking devices record motion data during exercises to improve treatment outcomes. Cameras and inertial measurement units (IMUs) are the basis of these devices. However, issues such as occlusion, privacy, and illumination can restrict vision-based systems. In these circumstances, IMUs may be employed to focus on a patient’s progress quantitatively during their rehabilitation. In this study, a 3D rigid body that can substitute a human arm was developed, and a two-stage algorithm was designed, implemented, and validated to estimate the elbow joint angle of that rigid body using three IMUs and incorporating the Madgwick filter to fuse multiple sensor data. Two electro-goniometers (EGs) were linked to the rigid body to verify the accuracy of the joint angle measuring algorithm. Additionally, the algorithm’s stability was confirmed even in the presence of external acceleration. Multiple trials using the proposed algorithm estimated the elbow joint angle of the rigid body with a maximum RMSE of 0.46°. Using the IMU manufacturer’s (WitMotion) algorithm (Kalman filter), the maximum RMSE was 1.97°. For the fourth trial, joint angles were also calculated with external acceleration, and the RMSE was 0.996°. In all cases, the joint angles were within therapeutic limits.https://www.mdpi.com/2227-7390/11/4/970inertial measurement unitaccelerometergyroscopemagnetometerelectro-goniometerjoint angle
spellingShingle Md. Mahmudur Rahman
Kok Beng Gan
Noor Azah Abd Aziz
Audrey Huong
Huay Woon You
Upper Limb Joint Angle Estimation Using Wearable IMUs and Personalized Calibration Algorithm
Mathematics
inertial measurement unit
accelerometer
gyroscope
magnetometer
electro-goniometer
joint angle
title Upper Limb Joint Angle Estimation Using Wearable IMUs and Personalized Calibration Algorithm
title_full Upper Limb Joint Angle Estimation Using Wearable IMUs and Personalized Calibration Algorithm
title_fullStr Upper Limb Joint Angle Estimation Using Wearable IMUs and Personalized Calibration Algorithm
title_full_unstemmed Upper Limb Joint Angle Estimation Using Wearable IMUs and Personalized Calibration Algorithm
title_short Upper Limb Joint Angle Estimation Using Wearable IMUs and Personalized Calibration Algorithm
title_sort upper limb joint angle estimation using wearable imus and personalized calibration algorithm
topic inertial measurement unit
accelerometer
gyroscope
magnetometer
electro-goniometer
joint angle
url https://www.mdpi.com/2227-7390/11/4/970
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