Fitting elliptical curves with application to drivingperformance evaluation

Abstract

Nowadays, the stress factor is a part of our daily life. Sometimes to beunder stress condition while driving a car is extremely dangerous foreveryone. This experiment, studies whether the stress factor affects the drivingbehaviour of the driver. The drivers drove in a special track under 4 different conditions (Normal drive, Cognitive drive, Motoric drive, Failure drive) andthey perform 3 U-turns. In order to detect differences in the drive type, that means the stress factor affects the drivers’ behaviour, we model the U-turnorbits using Ellipses and especially the Direct Elliptical Fit by AndrewFitzgibbon. Then we can make statistical inference using exploratory data analysis and construct statistical models to quantify the results. We use ANOVA models and Mixed-Effect models as a statistical tool. The results are presenting analytically using the R-programming language outputs and somespecial graphs.