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Paul St-Aubin edited Methodolofy - Measurement Definitions.tex
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\subsection{Measurement Definitions}
\subsubsection{Generic versus Specific Analysis Measures (HLI)}
\subsubsection{Interactions}
An interaction quantifies the spatial relationship between moving objects in a scene. At the most fundamental level, an interaction is defined as a pair of moving objects simultaneously present in a scene over a common time interval (a user pair). We further define instananeous observations within this time interval as interaction-instants.
This interaction definition is generic, if not naive, as it depends on the quality of the re-construction of the scene. For example, the significance of interactions between vehicles seperated from each other physically (e.g. via a median) may not be comparable to that of those seperated by paint, which could lead to flawed studies, particularly if the scene is not well re-constructed.
One solution is to sort user pairs for those with possible crossing paths. A network topology coupled with a driving distance horizon is particularly usefull as it constrains the definition of user pair by physical access. This is not a perfect solution, however, as physical access isn't necessarily a binary option. In our median example, it is still physically possible, although less likely, for vehicles to cross-over into the opposing lane. In the future, this could be further solved by modeling a "jumping cost" which models the likelihood that a road user jumps from one area of the network to the next, in units of distance seperating each branch.
It should be noted that line-of-sight is not needed to estalish a spatial relationship between vehicles, however, it may hold explanatory insight into how interactions form. As such, line-of-sight is not considered in the interaction
\subsubsection{TTC}
\subsubsection{User Pairs}
\subsubsection{PET}