Qualitative change to 3-valued regions
GIScience'10 Proceedings of the 6th international conference on Geographic information science
COSIT'11 Proceedings of the 10th international conference on Spatial information theory
A unified framework for decentralized reasoning about gradual changes in topological relations
Proceedings of the 19th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems
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The capability to query the topology of spatial regions is fundamental to today's centralized spatial computing systems, like spatial databases and GIS. By contrast, this paper explores decentralized algorithms for computing the topology of spatial regions in wireless sensor networks. The approach generates global topological information about regions, using only the local knowledge of nodes and their immediate network neighbors aggregated up through spatial boundary structures. Using three basic boundary structures (boundary nodes, boundary cycles, and boundary orientation), a family of decentralized algorithms is defined that can respond efficiently to snapshot queries about the topology of spatial regions, including containment and adjacency queries. The communication complexity of the algorithm is O(n) for realistic inputs. Empirical investigation of the performance of the approach, using simulation, also confirms the efficiency, scalability, and robustness of this approach.