Farthest-Point Voronoi Diagrams in the Presence of Rectangular Obstacles
نویسندگان
چکیده
We present an algorithm to compute the geodesic $$L_1$$ farthest-point Voronoi diagram of m point sites in presence n rectangular obstacles plane. It takes $$O(nm+n \log + m\log m)$$ construction time using O(nm) space. This is first optimal for constructing obstacles. can construct a data structure same and space that answers farthest-neighbor query $$O(\log (n+m))$$ time.
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ژورنال
عنوان ژورنال: Algorithmica
سال: 2023
ISSN: ['1432-0541', '0178-4617']
DOI: https://doi.org/10.1007/s00453-022-01094-9