On the Determination of the Angular Orientation of a Vertebra

[+] Author and Article Information
B. C. E. Goris

Department of Biomedical Engineering, Faculty of Medical Sciences, University of Groningen, Groningen, The Netherlands

M. Kuipers

Department of Mathematics and Computing Science, University of Groningen, Groningen, The Netherlands

J. De Vries

Engineering Department, Hanzehogeschool of Groningen, Groningen, The Netherlands

D. J. Wever

Orthopaedic Department, University Hospital Groningen, Groningen, The Netherlands

G. J. Verkerke

Department of Biomechanical Engineering, Faculty of Medical Sciences, University of Groningen, Groningen, The Netherlands

A. G. Veldhuizen

Department of Orthopaedics, University Hospital Groningen, P. O. Box 30.001, 9700 RB Groningen, The Netherlands

J Biomech Eng 124(1), 134-136 (Aug 31, 2001) (3 pages) doi:10.1115/1.1431265 History: Received March 13, 2001; Revised August 31, 2001
Copyright © 2002 by ASME
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Drerup,  B., 1984, “Principles of Measurement of Vertebral Rotation From Frontal Projections of the Pedicles,” J. Biomechanics, 17, pp. 923–935.
Goldstein, H., 1959, Classical Mechanics, Addison-Wesley, Reading, PA.
Skalli,  W., Lavaste,  F., and Descrimes,  J., 1995, “Quantification of Three-Dimensional Vertebral Rotations in Scoliosis: What are the True Values?” Spine, 20, pp. 546–550.
Whittaker, E. T., 1961, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Cambridge University Press, Cambridge.


Grahic Jump Location
The rotation of a vertebra as prescribed by the Eulerian angles φ, ψ, and θ, in which φ and ψ determine the orientation of the line l and θ the rotation about l
Grahic Jump Location
The Cartesian components of the local coordinate system of the vertebra as chosen along its principal axes of inertia. The origin O is chosen in the geometrical center of the vertebral body.
Grahic Jump Location
The Cartesian coordinates X,Y, and Z are used as a global reference system; there is a field of uniform and constant triads of orthonormal base vectors ei,i=1, 2, and 3



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