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Updated: Jun 14, 2026

Three-Dimensional Mapping of the Rotation of Interactive Virtual Objects with Eye-Tracking Data
Published on: October 18, 2024
Interpolation of segment Euler angles can provide a robust estimation of segment angular trajectories during
Xu Xu1, Chien-Chi Chang, Gert S Faber
1Department of Environmental Health, Harvard School of Public Health, 665 Huntington Avenue, Boston, MA 02115, USA. xuxu0618@gmail.com
Interpolating joint angles using cubic splines can accurately estimate body segment movement during dynamic lifting tasks. This method is robust when measurement errors are minimal, improving biomechanical analysis.
Area of Science:
- Biomechanics
- Ergonomics
- Human Movement Analysis
Background:
- Video-based motion analysis for estimating joint moments relies on accurate kinematic data.
- Interpolation methods in the sagittal plane can introduce errors in joint angle trajectories during complex movements like asymmetric lifting.
Purpose of the Study:
- To evaluate the accuracy of cubic spline interpolation for estimating segment Euler angles in dynamic asymmetric lifting tasks.
- To compare interpolated joint angle trajectories with continuously measured data.
Main Methods:
- Utilized 5-point cubic spline interpolation to estimate segment Euler angles.
- Compared interpolated values against measured kinematic data across various lifting conditions.
- Performed sensitivity analysis to assess the impact of measurement error.
Main Results:
- Segment Euler angle trajectories showed a Root Mean Square Error (RMSE) below 5 degrees for most segments without measurement error.
- Increased measurement error led to a higher RMSE in estimated trajectories.
- Lifting from higher initial positions resulted in lower RMSE compared to low initial positions.
Conclusions:
- Cubic spline interpolation offers a robust method for estimating segment angular trajectories in asymmetric lifting.
- The accuracy of this method is highly dependent on minimizing measurement errors at interpolation points.
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