Fitting parametrized polynomials with scattered surface data

Journal of Biomechanics

Volumn 32, Issue 7, 1999, Pages 715-720

  Van Ruijven, L J ^a   Beek, M ^b   Van Eijden, T M G J ^b  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b NONE

Author keywords

Joint; Mathematical; Model; Polynomial; Surface

Indexed keywords

JOINTS (ANATOMY); MATHEMATICAL MODELS; POLYNOMIALS;

COMPLEX JOINT SURFACES;

BIOMECHANICS;

ACCURACY; ARTICLE; DATA ANALYSIS; MATHEMATICAL MODEL; MEASUREMENT; PRIORITY JOURNAL;

JOINTS; MODELS, ANATOMIC; TEMPOROMANDIBULAR JOINT;

EID: 0033036509     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9290(99)00055-X     Document Type: Article

References (10)

1. An, K.N., Jacobsen, M.C., Berglund, L.J., Chao, E.Y.S., 1988. Application of a magnetic tracking device to kinesiologic studies. Journal of Biomechanics 21, 613-620.
2. Ateshian, G.A., Rosenwasser, M.P., Mow, V.C., 1992. Curvature characteristics and congruence of the thumb carpometacarpal joint: differences between male and female joints. Journal of Biomechanics 25, 591-607.
3. Ateshian, G.A., 1993. A b-spline least-squares surface fitting method for articular surfaces of diarthrodial joints. Journal of Biomechanical Engineering 115, 366-373.
4. Blankevoort, L., Kuiper, J.H., Huiskes, R., Grootenboer, H.J., 1991. Articular contact in a three-dimensional model of the knee. Journal of Biomechanics 24, 1019-1031.
5. Hefzy, M.S., Yang, H., 1993. A three-dimensional anatomical model of the human patello-femoral joint, for the determination of patello-femoral motions and contact characteristics. Journal of Biomedical Engineering 15, 289-302.
6. Hirokawa, S., 1991. Three-dimensional mathematical model analysis of the patellofemoral joint. Journal of Biomechanics 24, 659-671.
7. Kwak, S.D., Colman, W.W., Ateshian, G.A., Grelsamer, R.P., Henry, J.H., Mow, V.C., 1997. Anatomy of the human patellofemoral joint articular cartilage: surface curvature analysis. Journal of Orthopaedic Research 15, 468-472.
8. Milne, A.D., Chess, D.G., Johnson, J.A., King, G.J., 1996. Accuracy of an electromagnetic tracking device: a study of the optimal range and metal interference. Journal of Biomechanics 29, 791-793.
9. Scherrer, P.K., Hillberry, B.M., 1979. Piecewise mathematical representation of articular surfaces. Journal of Biomechanics 12, 301-311.
10. Wismans, J., Veldpaus, F., Janssen, J., 1980. A three-dimensional mathematical model of the human knee joint. Journal of Biomechanics 13, 677-686.