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Technical Briefs

Addressing Some Misperceptions of the Joint Coordinate System

[+] Author and Article Information
Bruce A. MacWilliams

Shriners Hospitals for Children,
Salt Lake City, UT 84103;
Department of Orthopaedic Surgery,
University of Utah,
Salt Lake City, UT 84103
e-mail: bmacwilliams@shrinenet.org

Roy B. Davis

Shriners Hospitals for Children,
Greenville, SC 29605

1Corresponding author.

2Present address: Motion Analysis Laboratory, Shriners Hospitals for Children, Salt Lake City, Fairfax Road @ Virginia Street, Salt Lake City, UT 84103.

Contributed by the Bioengineering Division of ASME for publication in the JOURNAL OF BIOMECHANICAL ENGINEERING. Manuscript received December 13, 2012; final manuscript received March 25, 2013; accepted manuscript posted April 4, 2013; published online April 24, 2013. Assoc. Editor: Zong-Ming Li.

J Biomech Eng 135(5), 054506 (Apr 24, 2013) (3 pages) Paper No: BIO-12-1613; doi: 10.1115/1.4024142 History: Received December 13, 2012; Revised March 25, 2013; Accepted April 04, 2013

The joint coordinate system convention proposed by Grood and Suntay has been widely adopted, but often misrepresented. Previous work has argued by logical explanation of the approach that the joint coordinate system is a set of Euler or Cardan angles. The current work offers both an explanation and mathematical proof that the joint coordinate system convention is equivalent to a Cardan angle sequence, thereby demonstrating the joint coordinate system angles are both sequence dependent and orthogonal.

Copyright © 2013 by ASME
Topics: Rotation , Knee
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References

Grood, E. S., and Suntay, W. J., 1983, “A Joint Coordinate System for the Clinical Description of Three-Dimensional Motions: Application to the Knee,” J. Biomech. Eng., 105(2), pp. 136–144. [CrossRef] [PubMed]
Baker, R., 2011, “Globographic Visualisation of Three Dimensional Joint Angles,” J. Biomech., 44(10), pp. 1885–1891. [CrossRef] [PubMed]
Baker, R., 2003, “ISB Recommendation on Definition of Joint Coordinate Systems for the Reporting of Human Joint Motion-Part I: Ankle, Hip and Spine,” J. Biomech., 36(2), pp. 300–302; author reply pp. 303–304. [CrossRef] [PubMed]
TuplingS. J., and Pierrynowski, M. R., 1987, “Use of Cardan Angles to Locate Rigid Bodies in Three-Dimensional Space,” Med. Biol. Eng. Comput., 25(5), pp. 527–532. [CrossRef] [PubMed]
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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., and Buchholz, B., 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,” J. Biomech., 38(5), pp. 981–992. [CrossRef] [PubMed]

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