Using orientation statistics to investigate variations in human kinematics

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 49, Issue 1, 2000, Pages 81-94

  Rancourt, Denis ^a   Rivest, Louis Paul ^a   Asselin, Jérôme ^a  

^a UNIVERSITÉ LAVAL   (Canada)

Author keywords

Directional data; Drilling task; Joint kinematics; Multivariate statistics; Quaternions; Rotations

Indexed keywords

EID: 0034363473     PISSN: 00359254     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9876.00180     Document Type: Article

References (30)

1. Angeles, J. (1992) The design of isotropic manipulator architectures in the presence of redundancies. Int. J. Robot. Res., 11, 196-201.
2. Antonsson, E. K. and Mann, R. W. (1989) Automatic 6 DOF kinematic trajectory acquisition and analysis. J. Dyn. Syst. Measmnt Control, 111, 31-39.
3. Chang, T. D. (1993) Spherical regression and the statistics of tectonic plate reconstruction. Int. Statist. Rev., 61, 299-316.
4. Colgate, J. E. and Hogan, N. (1988) Robust control of dynamically interacting systems. Int. J. Control, 48, 65-88.
5. Crowder, M. J. and Hand, D. J. (1990) Analysis of Repeated Measures. New York: Chapman and Hall.
6. De Lange, A., Huiskes, R. and Kauer, J. M. G. (1990) Measurement errors in Roentgen-Stereophotogrammetric joint-motion analysis. J. Biomech., 23, 259-269.
7. Downs, T. D. (1972) Orientation statistics. Biometrika, 59, 665-676.
8. Hamilton, W. R. (1969) Elements of Quaternions. Chelsea: Chelsea Press.
9. Jupp, P. E. (1988) Residuals for directional data. J. Appl. Statist., 15, 137-147.
10. Jupp, P. E. and Mardia, K. V. (1989) A unified view of the theory of directional statistics, 1975-1988. Int. Statist. Rev., 57, 261-294.
11. Kawato, M., Maeda, Y., Uno, Y. and Suzuki, R. (1990) Trajectory formation of arm movement by cascade neural network model based on minimum torque-change criterion. biol. Cybern., 62, 275-288.
12. Khatri, C. G. and Mardia, K. V. (1977) The von Mises-Fisher distribution in orientation statistics. J. R. Statist. Soc. B, 39, 95-106.
13. Kres, H. (1983) Statistical Tables for Multivariate Analysis. New York: Springer.
14. McCarthy, J. M. (1990) Introduction to Theoretical Kinematics. Cambridge: MIT.
15. Olshen, R. A., Biden, E. N., Wyatt, M. P. and Sutherland. D. H. (1989) Gait analysis and the bootstrap. Ann. Statist., 17, 1419-1440.
16. Prentice, M. J. (1986) Orientation statistics without parametric assumptions. J. R. Statist. Soc. B, 48, 214-222.
17. _ (1989) Spherical regression on matched pairs of orientation statistics. J. R. Statist. Soc. B, 51, 241-248.
18. Rancourt, D. (1995) Arm posture and hand mechanical impedance in the control of a hand-held power drill. PhD Thesis. Massachusetts Institute of Technology, Cambridge.
19. Rencher, A. C. (1995) Methods of Multivariate Analysis. New York: Wiley.
20. Rivest, L. P. (1986) Modified Kent's statistics for testing the fit of the Fisher distribution in small concentrated samples. Statist. Probab. Lett., 4, 1-4.
21. _ (1989) Spherical regression for concentrated Fisher-von Mises distributions. Ann. Statist., 17, 307-317.
22. Rooney, J. (1977) A survey of representation of spatial rotation about a fixed point. Environ. Planng B, 5, 185-210.
23. Sabes, P. N. and Jordan, M. I. (1997) Obstacle avoidance and a perturbation sensitivity model for motor planning. J. Neursci., 17, 7119-7128.
24. Sibson, R. (1978) Studies in the robustness of multidimensional scaling: Procrustes statistics. J. R. Statist. Soc. B. 40, 234-238.
25. Stephens, M. A. (1979) Vector correlation. Biometrika. 66, 41-48.
26. Veldpaus, F. E., Woltring, H. J. and Dortmans. L. J. M. G. (1988) A least-squares algorithm for the equiform transformation from spatial marker co-ordinates. J. Biomech., 21, 45-54.
27. Watson, G. S. and Williams, E. J. (1956) On the construction of significance tests on the circle and the sphere. Biometrika, 43, 344-352.
28. Woltring, H. J. (1989) One hundred years photogrammetry in biolocomotion. In Proc. Symp. Biolocomotion: a Century of Research using Moving Pictures, Formia (eds A. Cappozo, M. Manchetti and V. Tosi), vol. 1. Rome: International Society of Biomechanics.
29. _ (1994) 3-D attitude representation of human joints: a standardization proposal. J. Biomech., 27, 1399-1414.
30. Yoshikawa, T. (1990) Foundations of Robotics/Analysis and Control. Cambridge: MIT.