@article{ref1,
title="Relation between velocity and curvature in movement: equivalence and divergence between a power law and a minimum-jerk model",
journal="Journal of experimental psychology: human perception and performance",
year="1988",
author="Wann, J. and Nimmo-Smith, I. and Wing, A. M.",
volume="14",
number="4",
pages="622-637",
abstract="Unconstrained hand movements typically display a decrease in hand speed around highly curved sections of a trajectory. It has been suggested that this relation between tangential velocity and radius of curvature conforms to a one-third power law. We demonstrate that a one-third power law can be explained by models taking account of trajectory costs such as a minimum-jerk model. Data were analyzed from 6 subjects performing elliptical drawing movements of varying eccentricities. Conformity to the one-third power law in the average was obtained but is shown to be artifactual. It is demonstrated that asymmetric velocity profiles may result in consistent departures from a one-third power law but that such differences may be masked by inappropriate analysis procedures. We introduce a modification to the original minimum-jerk model by replacing the assumption of a Newtonian point-mass with a visco-elastic body. Simulations with the modified model identify a basis for asymmetry of velocity profiles and thereby predict departures from a one-third law commensurate with the empirical findings.<p /><p>Language: en</p>",
language="en",
issn="0096-1523",
doi="",
url="http://dx.doi.org/"
}