title: Bias compensated least squares estimate of the center of rotation.
abstract: It is shown that a recently published least squares method for the estimation of the average center of rotation is biased. Consequently, a correction term is proposed, and an iterative algorithm is derived for finding a bias compensated solution to the least squares problem.The accuracy of the proposed bias compensated least squares method is compared to the previously proposed least squares method by Monte-Carlo simulations. The tests show that the new method gives a substantial improvement in accuracy.
authors.affiliation: Department of Systems and Control, Information Technology, Uppsala University, P.O. Box 337, SE-751 05, Uppsala, Sweden
authors.forename: Kjartan
authors.initials: K
authors.lastname: Halvorsen
mesh_terms: D000465:Algorithms; D000818:Animals; D016477:Artifacts; D015982:Bias; D006801:Humans; D007596:Joints / Q000502:physiology*; D016018:Least-Squares Analysis; D008954:Models, Biological; D015233:Models, Statistical; D009068:Movement / Q000502:physiology*; D011786:Quality Control; D016059:Range of Motion, Articular / Q000502:physiology; D015203:Reproducibility of Results; D012399:Rotation; D012680:Sensitivity and Specificity; D013269:Stochastic Processes