Where the computation of particle trajectories in classic vector field representations includes computationally involved
numerical integration, a Lagrangian representation in the form of a flow map opens up new alternative ways of trajectory
extraction through interpolation. In our paper, we present a novel re-organization of the Lagrangian representation by
sub-sampling a pre-computed set of trajectories into multiple levels of resolution, maintaining a bound over the amount of
memory mapped by the file system. We exemplify the advantages of replacing integration with interpolation for particle
trajectory calculation through a real-time, low memory cost, interactive exploration environment for the study of flow fields.
Beginning with a base resolution, once an area of interest is located, additional trajectories from other levels of resolution
are dynamically loaded, densely covering those regions of the flow field that are relevant for the extraction of the desired
feature. We show that as more trajectories are loaded, the accuracy of the extracted features converges to the accuracy of
the flow features extracted from numerical integration with the added benefit of real-time, non-iterative, multi-resolution
path and time surface extraction.