Abstract
Moving objects produce trajectories. We describe a data model for trajectories and trajectory samples and an efficient way
of modeling uncertainty via beads for trajectory samples. We study transformations for which important physical propertiesof trajectories, such as speed, are invariant. We also determine which transformations preserve beads. We give conceptuallyeasy first-order complete query languages and computationally complete query languages for trajectory databases, which allowto talk directly about speed and beads. The queries expressible in these languages are invariant under speed- and bead-preservingtransformations.
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