A least-squares algorithm for the equiform transformation from spatial marker co-ordinates

The present paper describes an algorithm for estimating the translation vector and the rotation matrix of a moving body from noisy measurements on the spatial co-ordinates of at least three non-collinear markers. A sensitivity analysis of the estimated parameters and of the helical axis is presented...

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Veröffentlicht in:	Journal of biomechanics 1988, Vol.21 (1), p.45-54
Hauptverfasser:	Veldpaus, F.E., Woltring, H.J., Dortmans, L.J.M.G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Biological and medical sciences Biomechanical Phenomena Bone and Bones - physiology Computerized, statistical medical data processing and models in biomedicine Humans Medical sciences Models and simulation Models, Theoretical Movement Software Space life sciences
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	The present paper describes an algorithm for estimating the translation vector and the rotation matrix of a moving body from noisy measurements on the spatial co-ordinates of at least three non-collinear markers. A sensitivity analysis of the estimated parameters and of the helical axis is presented in terms of characteristics of the marker distribution. The implementation of the proposed algorithm in a FORTRAN-subroutine is appended.
ISSN:	0021-9290 1873-2380
DOI:	10.1016/0021-9290(88)90190-X