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Many geographical applications need to model spatial phenomena with vague or indeterminate boundaries and interiors. A popular paradigm adopted by the GIS community for this task at the modeling level is fuzzy set theory. A spatial object is fuzzy if locations exist that cannot be assigned completely to the object or to its complement. In previous work, we(More)
Moving objects in the physical world usually generate many uncertain trajectories for some reasons such as the consideration of energy consumption, leaving the route passing two consecutive sampling points unknown. While such trajectories imply rich knowledge about the mobility of moving objects, they are less useful individually. This paper introduces an(More)
To study the similarity between moving object trajectories is important in many applications, e.g., to find the clusters of moving objects which share the same moving pattern, and infer the future locations of a moving object from its similar trajectories. To define the similarity between moving objects is a challenging task, since not only their locations(More)
Spatio-temporal uncertainty is a special feature of moving objects due to the inability of precisely capturing or predicting their continuously changing locations. Indeterminate locations of moving objects at time instants add uncertainty to their topological relationships. Spatio-temporal uncertainty is important in many applications, for example , to(More)
Recently, a wide range of applications like hurricane research, fire management, navigation systems, and transportation has shown increasing interest in managing and analyzing space and time-referenced objects, so-called <i>moving objects</i>, that continuously change their positions over time. In the same way as moving objects can change their location(More)
A moving region whose location and extend change over time can imply topological changes such as <i>region split</i> and <i>hole formation</i>. To study this phenomenon is useful in many applications, e.g. the topology control of wireless sensor networks and emergency handling. It is challenging to detect the topological changes of a moving region since we(More)
—Current web-based weather event and satellite data portals provide large amounts of data over a historical timeline. However, users of these portals often get access to data only through limited, pre-defined queries based on a strict set of criteria and event trajectories. Desirable capabilities, such as spatial-temporal analysis, efficient satellite data(More)
The spatio-temporal uncertainty is an inherent feature of moving objects. One scenario where uncertainty exists is the movement of moving objects in the future, which results from lacking the knowledge of the prediction method. To solve this problem is useful, for example, to predict the locations of a hurricane and its relationships with points of interest(More)
2012 c ⃝ 2012 Tao Li 2 To my parents and my wife 3 ACKNOWLEDGMENTS First of all, I would like to gratefully and sincerely thank my adviser, Prof. Shigang Chen, for his great support, guidance, understanding, and most importantly, his friendship during my graduate study at University of Florida. He is an incredible adviser, a passionate scientist, and a(More)
In the same way as moving objects can change their location over time, the spatial relationships between them can change over time. An important class of spatial relationships are cardinal directions like north and southeast. In spatial databases and GIS, they characterize the relative directional position between static objects in space and are frequently(More)