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Uncertainty in Spatial Trajectories Goce Trajcevski. Chapter outline. Introduction Uncertainty Throughout History Uncertainty in Spatial and Temporal Database Modeling Uncertain Trajectories Processing Spatio-Temporal Queries for Uncertain Trajectories Summary. Balance breadth and depth.
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Uncertainty in Spatial Trajectories Goce Trajcevski
Chapter outline • Introduction • Uncertainty Throughout History • Uncertainty in Spatial and Temporal Database • Modeling Uncertain Trajectories • Processing Spatio-Temporal Queries for Uncertain Trajectories • Summary Balance breadth and depth
Uncertainty Throughout History • Philosophy and Logic • Epistemic Logic (BaP) • Modal Logic (,) • Possible Worlds • Uncertainty in AI and Databases • Model-Theoretic issues (Possible Models) • NULLs (open vs. closed world assumption) • Probabilistic databases (and possible worlds) • Time Geography and Inexact Geometries • Uncertain location over time • Re-evaluation of Euclidian postulates
Uncertain in Spatial and Temporal Databases • Spatial Databases • Imprecise Locations • Impact on Queries • Temporal Databases • Valid Time • Transaction time • Constructs (T-SQL)
Modeling Uncertain Trajectories Location Uncertainty Models Various Sources’ Imprecision (GPS; Sensors) Quest for data reduction
Modeling Uncertain Trajectories • Cones, Beads, Necklaces
Modeling Uncertain Trajectories Sheared Cylinders
Modeling Uncertain Trajectories Uncertainty on Road Networks
Processing Spatio-Temporal Queries for Uncertain Trajectories • Query Categories • Range • NN • Few others in “potpourri” • Capturing the impact (of the uncertainty model) • into the syntax of the query • Discuss a few processing algorithms • “Potpourri” • Other predicates/issues
Processing Spatio-Temporal Queries for Uncertain Trajectories
Processing Spatio-Temporal Queries for Uncertain Trajectories
Processing Spatio-Temporal Queries for Uncertain Trajectories NN-query for crisp object and uncertain-rest (cone model)
Processing Spatio-Temporal Queries for Uncertain Trajectories “Messing” the context
Processing Spatio-Temporal Queries for Uncertain Trajectories • Potpourri: • Alibi query • Topological Predicates • Inside-ness; • Along-ness; • Touching; • Communication savings • V-to-server • WSN