On the error modeling of dead reckoned data in a distributed virtual environment

In this paper, the authors aim to analyze the error of dead reckoned data generated from received data in a discrete temporal axis in a distributed virtual environment (DVE). That is, compared with the data received in continuous time, data acquired in discrete time has a certain degradation or uncertainty of information. Our way of analysis is to introduce a mathematical model of this degradation with regard to the metrics of the temporal interval. We introduced polynomial models for dead reckoning method between frames using parametrics calculated from the data over the last several frames. By employing the method of error analysis of a numerical analysis to the above polynomial models, we formulate theoretical models which approximate the statistical error of dead reckoned data based on parameters such as the update interval and changes in the data. This study enables the discussion on the optimality of the update interval in a DVE using dead reckoning. Finally, we evaluate the adaptability of the theoretical model by conducting simulation experiments generated by pen motion of writing string of letters by human. As a result, we confirm that the proposed theoretical model closely approximates the average error in the simulation