Distance between aircraft trajectories related to functional data analysis
Résumé
In this paper the problem of aircraft trajectories representation and analysis is addressed. In many operational situations, there is a need to have a value expressing how trajectories are close to each other. Some measures has been previously defined, mainly for trajectory prediction applications, all of them being based on distance computations at given positions in space and time. The approach presented here is to consider the trajectory as a whole object belonging to a functional space and to perform all computations in this space. In a second part of the paper, the way of representing those infinite dimensional objects by finite dimensional approximation is discussed.