Computing half-plane and strip discrepancy of planar point sets

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    4 Citations (Scopus)


    We present efficient algorithms for two problems concerning the discrepancy of a set S of n points in the unit square in the plane. First, we describe an algorithm for maintaining the half-plane discrepancy of S under insertions and deletions of points. The algorithm runs in O(nlogn) worst-case time per update, and it requires only relatively simple data structures. Second, we give an algorithm that computes the strip discrepancy of S in O(n2a(n)logn) time, where a(n) is the extremely slowly growing functional inverse of Ackermann's function.
    Original languageEnglish
    Pages (from-to)69-83
    Number of pages15
    JournalComputational Geometry
    Issue number2
    Publication statusPublished - 1996


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