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Geospatial Cluster Tessellation Through the Complete Order-k Voronoi Diagrams

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Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4736))

Abstract

In this paper, we propose a postclustering process that robustly computes cluster regions at different levels of granularity through the complete Order-k Voronoi diagrams. The robustness and flexibility of the proposed method overcome the application-dependency and rigidity of traditional approaches. The proposed cluster tessellation method robustly models monotonic and nonmonotonic cluster growth, and provides fuzzy membership in order to represent indeterminacy of cluster regions. It enables the user to explore cluster structures hidden in a dataset in various scenarios and supports “what-if” and “what-happen” analysis. Tessellated clusters can be effectively used for cluster reasoning and concept learning.

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Stephan Winter Matt Duckham Lars Kulik Ben Kuipers

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© 2007 Springer-Verlag Berlin Heidelberg

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Lee, I., Pershouse, R., Lee, K. (2007). Geospatial Cluster Tessellation Through the Complete Order-k Voronoi Diagrams. In: Winter, S., Duckham, M., Kulik, L., Kuipers, B. (eds) Spatial Information Theory. COSIT 2007. Lecture Notes in Computer Science, vol 4736. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74788-8_20

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  • DOI: https://doi.org/10.1007/978-3-540-74788-8_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74786-4

  • Online ISBN: 978-3-540-74788-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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