Knowledge and Information Systems

, Volume 13, Issue 2, pp 173–196

A typology of course of motion in simulated environments based on Bézier curve analysis

Regular Paper

DOI: 10.1007/s10115-007-0065-7

Cite this article as:
Sas, C. & Schmidt, N. Knowl Inf Syst (2007) 13: 173. doi:10.1007/s10115-007-0065-7


This paper proposes a novel method of analysing trajectories followed by people while they perform navigational tasks. The results indicate that modelling trajectories with Bézier curves provides a basis for the diagnosis of navigational patterns. The method offers five indicators: goodness of fit, average curvature, number of inflexion points, lengths of straight line segments, and area covered. Study results, obtained in a virtual environment show that these indicators carry important information about user performance, specifically spatial knowledge acquisition.


Bézier curve Trajectory modelling Virtual environment Navigation Spatial knowledge Human factors 

Copyright information

© Springer-Verlag London Limited 2007

Authors and Affiliations

  1. 1.Computing Department, InfoLab21Lancaster UniversityLancasterUK
  2. 2.School of Computer Science and InformaticsUniversity College DublinDublinIreland

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