We have just submitted a new manuscript in pre-publication on arxiv: Interpreting the Tilt-Torsion Method to Express Shoulder Joint Kinematics.

This manuscript presents and interprets, by simulation and using an example in adapted sport, the Tilt-Torsion method to express the angles of the shoulder initially presented by Campeau Lecours et al. (2020). This method simplifies the visualization and interpretation of the plane of elevation, elevation and humeral rotation. It can be seen as an extension of the Euler YXY angles suggested by the International Society of Biomechanics (Wu el al., 2005), with a correction to the humeral rotation error that is introduced by the elevation plane.

The manuscript is currently under peer review; until its publication, we would be happy to hear your comments.

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Chénier, F., Alberca, I., Faupin, A., & Gagnon, D. H. (2021). Interpreting the Tilt-Torsion Method to Express Shoulder Joint Kinematics [Preprint].
Campeau-Lecours, A., Vu, D.-S., Schweitzer, F., & Roy, J.-S. (2020). Alternative Representation of the Shoulder Orientation Based on the Tilt-and-Torsion Angles. Journal of Biomechanical Engineering, 142(7), 074504. https://doi.org/10.1115/1.4046203
Wu, G., Van Der Helm, F. C. T., Veeger, H. E. J. D., Makhsous, M., Van Roy, P., Anglin, C., Nagels, J., Karduna, A. R., McQuade, K., Wang, X., Werner, F. W., Buchholz, B., & Others. (2005). ISB recommendation on definitions of joint coordinate systems of various joints for the reporting of human joint motion - Part II: shoulder, elbow, wrist and hand. Journal of Biomechanics, 38(5), 981–992. https://doi.org/10.1016/j.jbiomech.2004.05.042