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The 2/3 power law: when and why?

R Plamondon1, W Guerfali

  • 1Laboratoire Scribens, Ecole Polytechnique de Montréal, Département de génie électrique et de génie, informatique, Québec, Canada. rejean.plamondon@mail.polymtl.ca

Acta Psychologica
|December 9, 1998
PubMed
Summary
This summary is machine-generated.

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The vectorial delta-lognormal model explains the 2/3 power law in handwriting kinematics. This model simulates movement trajectories and clarifies when the power law applies to graphic movements.

Area of Science:

  • Neuroscience
  • Biomechanics
  • Computational modeling

Background:

  • The 2/3 power law describes a relationship between velocity and curvature in movement trajectories.
  • This law is frequently observed in handwriting kinematics but has limitations in certain graphic movements.

Purpose of the Study:

  • To investigate the origin of observations linking handwriting kinematics to the 2/3 power law.
  • To determine the conditions under which the 2/3 power law is applicable to graphic movements using a novel model.

Main Methods:

  • Computer simulations were employed to test the vectorial delta-lognormal model.
  • The model was used to simulate 2D movements and analyze handwriting kinematics.

Main Results:

Related Experiment Videos

  • The vectorial delta-lognormal model successfully simulated phenomena related to the 2/3 power law.
  • The study identified conditions where the 2/3 power relationship is observed and explained deviations in more general handwritten patterns.

    • Conclusions:

    • The vectorial delta-lognormal model provides a framework for understanding the 2/3 power law in movement trajectories.
    • The model elucidates the constraints and conditions affecting the applicability of the 2/3 power law in handwriting and graphic movements.