Korean Journal of Applied Biomechanics (한국운동역학회지)

Korean Society of Applied Biomechanics (한국운동역학회)
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Comparisons Among Functional Methods of Axis of Rotation Suitable for Describing Human Joint Motion

인체 관절운동 기술에 적합한 회전축 추정방법의 비교

  • 김진욱 (인디애나 웨스트라피엣)
  • Received : 2011.10.28
  • Accepted : 2011.12.14
  • Published : 2011.12.31
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Abstract

There are many functional methods for estimating the mean axis of rotation of a joint. However, it is still a controversial issue which method is superior. The purpose of this study was to compare functional methods for estimated axes of rotation from synthetic data. The comparison was made in terms of suitabilities on describing humans in sports. For a more practical situation, the axis error as well as measurement and marker movement error were applied to generated data. Simulations having 1000 times of 80 rotational displacements were performed. The functional methods used in the study were two transformation methods, two fitting methods, and one more transformation method called M. The M method is a combination of S$\ddot{o}$derk & Wedin(1993) and Mardia & Jupp(2000). Another factor of the study was angular velocity with levels of .01, .025, .05, .5 and 1 rad/s. The method M resulted in unbiased, stable, and consistent axis of rotation vectors in all levels of angular velocity except .01 rad/s. Therefore, the method M had the highest validity and reliability of all the methods. The fitting methods were very sensitive in small angular velocities and stable only in the velocities of more than .5 rad/s. The most suitable method for analyzing human motion by using marker photogrammetry is M.

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References

  1. Aissaoui, R., Mecheri, H., & de Guise, J. A.(2004). Validation of four major algorithms for estimating the instanta-neous helical axis with miniature triaxial gyroscope. Proceedings of the 26th Annual International Conference of the IEEE EMBS, September, 1(5), 2442-2445.
  2. Asano, T., Akagi, M., & Nakamura, T.(2005). The functional flexion-extension axis of the knee corresponds to the surgical epicondylar axis. Journal of Arthroplasty, 20, 1060-1067. https://doi.org/10.1016/j.arth.2004.08.005
  3. Besier, T. F., Sturnieks, D. L., Alderson, J. A., & Lloyd, D. G.(2003). Repeatability of gait data using a functional hip joint centre and a mean helical axis. Journal of Biomechanics, 36, 1159-1168. https://doi.org/10.1016/S0021-9290(03)00087-3
  4. Brownhill, J. R., Furukawa, K., Faber, K. J., Johnson, J. A., & King, G. J. W.(2006). Surgeon accuracy in the selec-tion of the flexionextension axis of the elbow: An in vitro study. Journal of Shoulder and Elbow Surgery, 15, 451-456. https://doi.org/10.1016/j.jse.2005.09.011
  5. Cappello, A., Stagni, R., Fantozzi, S., & Leardini, A.(2005). Soft tissue artefacts compensation in knee kinematics by double anatomical landmark calibration : Performance of a novel method during selected motor tasks. IEEE Transactions on Biomedical Engineering, 52, 992-998. https://doi.org/10.1109/TBME.2005.846728
  6. Cappozzo, A., Cantani, F., Leardini, A., Benedetti, M. G., & Della Croce, U.(1996). Position and orientation in space of bones during movement : Experimental artefacts. Clinical Biomechanics, 11, 90-100. http://dx.doi.org/10.1016/0268-0033(95)00046-1
  7. Cappozzo, A., Catani, F., Croce, U. D., & Leardini, A.(1995). Position and orientation in space of bones during movement : Anatomical frame definition and determination. Clinical Biomechanics, 10, 171-178. https://doi.org/10.1016/0268-0033(95)91394-T
  8. Challis, J. H.(1995). A procedure for determining rigid body transformation parameters. Journal of Biomechanics, 28, 733-737. https://doi.org/10.1016/0021-9290(94)00116-L
  9. Chan, Y. T., Lee, B. H., & Thomas, S. M.(2005). Approximate maximum likelihood estimation of circle parameters. Journal of Optimization and Applications, 125, 723-734. https://doi.org/10.1007/s10957-005-2098-y
  10. Chang, L. Y., & Pollard, N. S.(2007), Constrained leastsquares optimization for robust estimation of center of rotation. Journal of Biomechanics, 40, 1392-1400. https://doi.org/10.1016/j.jbiomech.2006.05.010
  11. Cheze, L., Fregly, B. J., & Dimnet, J.(1998). Determination of joint functional axes from noisy marker data using the finite helical axis. Human Movement Science, 17, 1-15. https://doi.org/10.1016/S0167-9457(97)00018-3
  12. Coope, I. D.(1993). Circle fitting by linear and nonlinear least squares. Journal of Optimization and Applications, 76, 381-388. https://doi.org/10.1007/BF00939613
  13. Devitt, D.(2009). Axis of rotation metrology. Retrieved from http://www.bsahome.org/tools/pdfs/AxisRotationMetrology.pdf
  14. Eckhoff, D. G., Dwyer, T. F., Bach, J. M., Spitzer, V. M. & Reinig, K. D.(2001). Three-dimensional morphology of the distal part of the femur viewed in virtual reality. Journal of Bone and Joint Surgery Incorporated, 83-As(part 1), 43-50.
  15. Eggert, D. W., Lorusso, A., & Fisher, R. B.(1997). Estimating 3-D rigid body transformations : A comparison of four major algorithms. Machine Vision and Applications, 9, 272-290. https://doi.org/10.1007/s001380050048
  16. Ehrig, R. M., Heller, M. O., Kratzenstein, S., Duda, G. N., Trepczynski, A., & Taylor, W. R.(2011). The SCoRE re-sidual: A quality index to acess the accuracy of joint estimations. Journal of Biomechanics, 44, 1400-1404. https://doi.org/10.1016/j.jbiomech.2010.12.009
  17. Ehrig, R. M., Taylor, W. R., Duda, G. N., & Heller, M. O.(2007). A survey of formal methods for determining f-unctional joint axes. Journal of Biomechanics, 40, 2150-2157. https://doi.org/10.1016/j.jbiomech.2006.10.026
  18. Ehrig, R. M., Taylor, W. R., Duda, G. N., & Heller, M. O.(2006). A survey of formal methods for determining the centre of rotation of ball joint. Journal of Biomechanics, 39, 2798-2809. https://doi.org/10.1016/j.jbiomech.2005.10.002
  19. Fisher, N. I., Lewis, T., & Embleton, B. J. J.(1993). Statistical Analysis of Spherical Data. New York, NY : Cambridge University Press.
  20. Gamage, S. S. H. U., & Lasenby, J.(2002). New least squares solutions for estimating the average center of rotation and the axis of rotation. Journal of Biomechanics, 35, 87-93. https://doi.org/10.1016/S0021-9290(01)00160-9
  21. Grood, E. S., & Suntay, W. J.(1983). A joint coordinate system for the clinical description of three-dimensional motions : Application to the knee. Journal of Biomechanical Engineering, 105, 136-144. https://doi.org/10.1115/1.3138397
  22. Halvorsen, K., Lesser, M., & Lundberg, A.(1999). A new method for estimating the axis of rotation and the center of rotation. Journal of Biomechanics, 32, 1221-1227. https://doi.org/10.1016/S0021-9290(99)00120-7
  23. Kim, J. U.(2009). The analysis of axis of rotation of knee joint using directional statistics. The Korean Journal of Physical Education, 48, 615-623.
  24. Kim, J. U.(2010a). The statistical test on the mean axes of rotation of knee joint consistent with the coordinate axis. The Korean Journal of Physical Education, 49(4), 419-427.
  25. Kim, J. U.(2010b). The validity test of upper.forearm coordinate system and the exploratory analysis of the interactive effect between flexion/extension and pronation/supination during elbow joint motion. Korean Journal of Sport Biomechanics, 20(2), 117-127. https://doi.org/10.5103/KJSB.2010.20.2.117
  26. MacWilliams, B. A.(2008). A comparison of four functional methods to determine centers and axes of rotations. Gait & Posture, 28, 673-679. https://doi.org/10.1016/j.gaitpost.2008.05.010
  27. Mannel, H., Marin, F., Claes, L., & Dürselen, L.(2004). Establishment of knee joint coordinate system from helical axes analysis : A kinematic approach without anatomical referencing. IEEE Transactions on Biomedical Engineering, 51, 1341-1347. https://doi.org/10.1109/TBME.2004.828051
  28. Mardia, K. V., & Jupp, P.(2000). Directional Statistics(2nd edition). West Sussex, England : John Wiley and Sons Ltd.
  29. Marin, F., Mannel, H., Claes, L., & Dürselen, L.(2003). Correction of axis misalignment in the analysis of knee rotations. Human Movement Science, 22, 285-296. https://doi.org/10.1016/S0167-9457(03)00036-8
  30. Metzger, M. F., Faruk Senan, N. A., O'Reilly, O. M., & Lotz, J. C.(2010). Minimiaing errors associated with calculating the location of the helical axis for spinal motions. Journal of Biomechanics, 43, 2822-2829. https://doi.org/10.1016/j.jbiomech.2010.05.034
  31. Most, E., Axe, J., Rubash, H., & Li, G.(2004). Sensitivity of the knee joint kinematics calculation to selection of flexion axes. Journal of Biomechanics, 37, 1743-1748. https://doi.org/10.1016/j.jbiomech.2004.01.025
  32. Schache, A. G., Baker, R., & Lamoreux, L. W.(2006). Defining the knee joint flexion-extension axis for purposes of quantitative gait analysis : An evaluation of methods. Gait & Posture, 24, 100-109. https://doi.org/10.1016/j.gaitpost.2005.08.002
  33. Schwartz, M. H., & Rozumalski, A.(2005). A new method for estimating joint parameter from motion data. Journal of Biomechanics, 38, 107-116. https://doi.org/10.1016/j.jbiomech.2004.03.009
  34. Sheehan, F. R.(2007). The finite helical axis of the knee joint : A non-invasive in vivo study using Fast-PC MRI. Journal of Biomechanics, 40, 1038-1047. https://doi.org/10.1016/j.jbiomech.2006.04.006
  35. Soderkvist, I., & Wedin, P.(1993). Determining the movements of the skeleton using wellconfigured markers. Journal of Biomechanics, 26, 1473-1477. https://doi.org/10.1016/0021-9290(93)90098-Y
  36. Sommer, H. J., & Buczeck, F. L.(1990). Experimental determination of the instant screw axis and angular acceleration axis. Bioengineering Conference, Proceedings of the 1990 Sixteens Annual Northeast, USA, 141-142.
  37. Spoor, C. W., & Veldpaus, F. E.(1980). Rigid body motion calculated from spatial coordinate of markers. Journal of Biomechanics, 13, 391-393. https://doi.org/10.1016/0021-9290(80)90020-2
  38. Stokdijk, M., Meskers, C. G. M., Veeger, H. E. J., de Boer, Y. A., & Rozing, P. M.(1999). Determination of the optimal elbow axis for evaluation of placement of prostheses. Clinical Biomechanics, 14, 177-184. https://doi.org/10.1016/S0268-0033(98)00057-6
  39. Strang, G.(2003). Introduction to Linear Algebra(3rd ed.). Wellesley, MA : Wellesley Cambridge Press.
  40. Tay, S. C., VanRiet, R., Kazunari, T., Amrami, K. K., An, K. -N., & Berger, R. A.(2010). In-vivo kinematics analysis of forearm rotation using helical axis analysis. Clinical Biomechanics, 25, 655-659. https://doi.org/10.1016/j.clinbiomech.2010.03.010
  41. Van den Bogert, A. J., Reinschmidt, C., & Lundberg, A.(2008). Helical axes of skeletal knee joint motion during running. Journal of Biomechanics, 41, 1632-1638. https://doi.org/10.1016/j.jbiomech.2008.03.018
  42. Vena, A., Budney, D., Forest, T., & Carey, J. P.(2011). Three-dimensional kinematic analysis of the golf swing us-ing instantaneous acrew axis theory, part 1 : Methodology and verification. Sports Engineering, 13, 105-123. https://doi.org/10.1007/s12283-010-0058-8
  43. Vena, A., Budney, D., Forest, T., & Carey, J. P.(2011). Three-dimensional kinematic analysis of the golf swing using instantaneous acrew axis theory, part 2 : Golf swing kinematic sequence. Sports Engineering, 13, 125-133. https://doi.org/10.1007/s12283-010-0059-7
  44. Woltring, H. J.(1990). Data processing and error analysis. In N. Berme, & A. Cappozzo(Eds.), Biomechanics of Human Movement : Applications in Rehabilitation, Sport and Ergonomics, 203-237. Washington, OH : Bertec Corporation.
  45. Woltring, H. J., Long, K., Osterbauer, P. J., & Fuhr, A. W.(1994). Instantaneous helical axis estimation from 3-D video data in neck kinematics for whiplash diagnostics. Journal of Biomechanics, 27, 1415-1432. https://doi.org/10.1016/0021-9290(94)90192-9
  46. Wu, G., Siegler, S., Allard, P., Kirtley, C., Leardini, A., Rosenbaum, D., Whittle, M., D'Lima, D., Cristofolini, L., Witte, H., Schmid, O., & Stokes, I.(2002). ISB recommendation on definitions of joint coordinate system of various joints for the reporting of human joint motion-part I: ankle, hip, and spine. Journal of Biomechanics, 35, 543-548. https://doi.org/10.1016/S0021-9290(01)00222-6

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