Abstract
We address the problem of replicating a Voronoi diagram V(S) of a planar point set S by making proximity queries:
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the exact location of the nearest site(s) in S
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the distance to and label(s) of the nearest site(s) in S
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a unique label for every nearest site in S.
In addition to showing the limits of nearest-neighbor database security, our methods also provide one of the first natural algorithmic applications of retroactive data structures.
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Dickerson, M.T., Eppstein, D., Goodrich, M.T. (2010). Cloning Voronoi Diagrams via Retroactive Data Structures. In: de Berg, M., Meyer, U. (eds) Algorithms – ESA 2010. ESA 2010. Lecture Notes in Computer Science, vol 6346. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15775-2_31
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DOI: https://doi.org/10.1007/978-3-642-15775-2_31
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