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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.07464 |
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| _version_ | 1866909731295068160 |
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| author | Wan, Yang Grossman-Ponemona, Benjamin E. Kesari, Haneesh |
| author_facet | Wan, Yang Grossman-Ponemona, Benjamin E. Kesari, Haneesh |
| contents | Mild traumatic brain injury (mTBI) often results from violent head motion or impact. Most prevention strategies explicitly or implicitly rely on motion- or deformation-based injury criteria, both of which require accurate measurements of head motion. We present an algorithm for reconstructing the full acceleration field of a rigid body from measurements obtained by three tri-axial accelerometers and one tri-axial gyroscope. Unlike traditional gyroscope-based methods, which require numerically differentiating noisy angular velocity data, or gyroscope-free methods, which may impose restrictive sensor placement or involve nonlinear optimization, the proposed algorithm recovers angular acceleration and translational acceleration by solving a set of linear equations derived from rigid body kinematics. In the proposed method, the only constraint on sensor placement is that the accelerometers must be non-collinear. We validated the algorithm in controlled soccer heading experiments, demonstrating accurate prediction of accelerations at unsensed locations across trials. The proposed algorithm provides a robust, flexible, and efficient tool for reconstructing rigid body motion, with direct applications in contact sports, robotics, and biomechanical injury prediction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07464 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Determining the acceleration field of a rigid body using three accelerometers and one gyroscope, with applications in mild traumatic brain injury Wan, Yang Grossman-Ponemona, Benjamin E. Kesari, Haneesh Applied Physics Mild traumatic brain injury (mTBI) often results from violent head motion or impact. Most prevention strategies explicitly or implicitly rely on motion- or deformation-based injury criteria, both of which require accurate measurements of head motion. We present an algorithm for reconstructing the full acceleration field of a rigid body from measurements obtained by three tri-axial accelerometers and one tri-axial gyroscope. Unlike traditional gyroscope-based methods, which require numerically differentiating noisy angular velocity data, or gyroscope-free methods, which may impose restrictive sensor placement or involve nonlinear optimization, the proposed algorithm recovers angular acceleration and translational acceleration by solving a set of linear equations derived from rigid body kinematics. In the proposed method, the only constraint on sensor placement is that the accelerometers must be non-collinear. We validated the algorithm in controlled soccer heading experiments, demonstrating accurate prediction of accelerations at unsensed locations across trials. The proposed algorithm provides a robust, flexible, and efficient tool for reconstructing rigid body motion, with direct applications in contact sports, robotics, and biomechanical injury prediction. |
| title | Determining the acceleration field of a rigid body using three accelerometers and one gyroscope, with applications in mild traumatic brain injury |
| topic | Applied Physics |
| url | https://arxiv.org/abs/2508.07464 |