Coordinate transformation between shoulder kinematic descriptions in the Holzbaur et al. model and ISB sequence

Holzbaur et al. (2005) proposed a comprehensive 3-D biomechanical upper extremity model. Since then, this model has been adopted by many other studies for kinetic and kinematic analysis of the shoulder joint. Because of the 3-D anatomical structure, three angles are necessary to define or describe shoulder kinematics. In the Holzbaur et al. model, the three angles are shoulder elevation, elevation angle, and shoulder rotation. The computational implementation of the elevation angle degree of freedom is considered in a different way than described in the recommendation of the International Society of Biomechanics (ISB). This paper presents an analysis of the transformation between the coordinates of the shoulder kinematic defined in the Holzbaur et al. upper extremity model and those defined by the ISB. The results of this study could be used for comparing the coordinates between the different descriptions of the shoulder kinematics.