Related Experiment Video
Updated: Sep 26, 2026

Using Eye-tracking to Assess the Relative Importance of Visual and Vestibular Input to Subcortical Motion Processing in the Roll Plane
Published on: August 22, 2025
Bias compensated least squares estimate of the center of rotation
1Department of Systems and Control, Information Technology, Uppsala University, P.O. Box 337, SE-751 05, Uppsala, Sweden
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.
Related Concept Videos
Kinematic Equations for Rotation
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...
Rotational Motion about a Fixed Axis
Relative Motion Analysis using Rotating Axes
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it instrumental in...
Equation of Motion: Rotation About a Fixed Axis
The tangential component is dependent on the direction of the angular acceleration of the flywheel. The tangential component of the acceleration propels the flywheel along its path. On the other hand,...
Equation of Motion: Center of Mass
Internal forces between any pair of particles manifest as collinear pairs of equal magnitude but opposite directions,...
Finding the Center of Gravity
