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A Generic Statistics-Based Tessellation Method of Voronoi Diagram

Author

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  • Kang Shun

    (College of Geoscience and Surveying Engineering, China University of Mining and Technology (Beijing), Beijing100083, China)

Abstract

In terms of distance function and spatial continuity in Voronoi diagram, a generic generating method of Voronoi diagram, named statistical Voronoi diagram, is proposed in this paper based upon statistics with mean vector and covariance matrix. Besides, in order to make good on the discreteness of spatial Voronoi cell, the cross Voronoi cell accomplished the discrete ranges in its continuous domain. In the light of Mahalanobis distance, not only ordinary Voronoi and weighted Voronoi are implemented, but also the theory of Voronoi diagram is improved further. Last but not least, through Gaussian distribution on spatial data, the validation and soundness of this method are proofed by empirical results.

Suggested Citation

  • Kang Shun, 2015. "A Generic Statistics-Based Tessellation Method of Voronoi Diagram," Journal of Systems Science and Information, De Gruyter, vol. 3(6), pages 568-576, December.
    • Handle: RePEc:bpj:jossai:v:3:y:2015:i:6:p:568-576:n:8
    DOI: 10.1515/JSSI-2015-0568
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