Constrained least-squares optimization for robust estimation of center of rotation

Journal of Biomechanics

Volumn 40, Issue 6, 2007, Pages 1392-1400

  Chang, Lillian Y ^a   Pollard, Nancy S ^a  

^a Carnegie Mellon University ^*  (United States)

Author keywords

Center of rotation; Joint center; Least squares; Optimization

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; PROBLEM SOLVING;

CENTER OF ROTATION; JOINT CENTER; RANGE OF MOTION (ROM);

CONSTRAINED OPTIMIZATION;

ACCURACY; ALGORITHM; ARTICLE; ASSAY; CARPOMETACARPAL JOINT; CONTROLLED STUDY; HUMAN; NOISE; PRIORITY JOURNAL; RANGE OF MOTION; REGRESSION ANALYSIS; ROTATION; SIMULATION; THUMB;

ALGORITHMS; COMPUTER SIMULATION; FINGER JOINT; HUMANS; IMAGE INTERPRETATION, COMPUTER-ASSISTED; LEAST-SQUARES ANALYSIS; MODELS, ANATOMIC; MODELS, BIOLOGICAL; MOVEMENT; RANGE OF MOTION, ARTICULAR; THUMB;

EID: 33947606185     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2006.05.010     Document Type: Article

References (20)

1. Bell A.L., Brand R.A., and Pedersen D.R. Prediction of hip joint center location from external landmarks. Human Movement Science 8 (1989) 3-16
2. Bookstein F.L. Fitting conic sections to scattered data. Computer Graphics and Image Processing 9 (1979) 56-71
3. Camomilla V., Cereatti A., Vannozzi G., and Cappozzo A. An optimized protocol for hip joint centre determination using the functional method. Journal of Biomechanics 39 (2006) 1096-1106
4. Cerveri P., Lopomo N., Pedotti A., and Ferrigno G. Derivation of centers and axes of rotation for wrist and fingers in a hand kinematic model: methods and reliability results. Annals of Biomedical Engineering 33 (2005) 402-412
5. Davis R.B., Ounpuu S., Tyburski D., and Gage J. A gait analysis data collection and reduction technique. Human Movement Science 10 (1991) 575-587
6. Fitzgibbon A.W., Pilu M., and Fisher R.B. Direct least square fitting of ellipses. IEEE Transactions on Pattern Analysis and Machine Intelligence 21 (1999) 476-480
7. Gamage S.S.H.U., and Lasenby J. New least squares solutions for estimating the average centre of rotation and the axis of rotation. Journal of Biomechanics 35 (2002) 87-93
8. Halvorsen K. Bias compensated least squares estimate of the center of rotation. Journal of Biomechanics 36 (2003) 999-1008
9. Halvorsen K., Lesser M., and Lundberg A. A new method for estimating the axis of rotation and the center of rotation. Journal of Biomechanics 32 (1999) 1221-1227
10. Hillier F.S., and Lieberman G.J. Introduction to Operations Research. eighth ed (2004), McGraw-Hill, New York
11. Kadaba M.P., Ramakrishnan H.K., and Wootten M.E. Measurement of lower extremity kinematics during level walking. Journal of Orthopedic Research 8 (1990) 383-392
12. Marin F., Mannel H., Claes L., and Durselen L. Accurate determination of a joint rotation center based on the minimal amplitude point method. Computer Aided Surgery 8 (2003) 30-42
13. Moler C.B., and Stewart G.W. An algorithm for generalized matrix eigenvalue problems. SIAM Journal on Numerical Analysis 10 (1973) 241-256
14. Panjabi M.M. Centers and angles of rotation of body joints: a study of errors and optimization. Journal of Biomechanics 12 (1979) 911-920
15. Piazza S.J., Okita N., and Cavanagh P.R. Accuracy of the functional method of hip joint center location: effects of limited motion and varied implementation. Journal of Biomechanics 34 (2001) 967-973
16. Pratt V. Direct least-squares fitting of algebraic surfaces. Computer Graphics 21 (1987) 145-152
17. Reuleaux, F., 1876. Kinematics of Machinery: Outlines of a Theory of Machines. (A.B.W. Kennedy, Trans.). MacMillan and Co., London. (Original work published 1875).
18. Silaghi, M., Planckers, R., Boulic, R., Fua, P., Thalmann, D., 1998. Local and global skeleton fitting techniques for optical motion capture. In: Magnenat-Thalmann, N., Thalmann, D. (Eds.), Modelling and Motion Capture Techniques for Virtual Environments, Lecture Notes in Artificial Intelligence, vol. 1537. Springer, Berlin, pp. 26-40.
19. Vaughan C.L., Davis B.L., and O'Connor J. Dynamics of Human Gait. second ed (1999), Kiboho Publishers, Cape Town, South Africa
20. Zhang X., Lee S.W., and Braido P. Determining finger segmental centers of rotation in flexion-extension based on surface marker measurement. Journal of Biomechanics 36 (2003) 1097-1102