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Publications [#235494] of Pankaj K. Agarwal

Papers Published

  1. Agarwal, PK; Kaplan, H; Sharir, M, Computing the volume of the union of cubes, Proceedings of the Annual Symposium on Computational Geometry (2007), pp. 294-301 [doi]
    (last updated on 2017/12/15)

    Abstract:
    Let C be a set of n axis-aligned cubes in R 3, and let U(C) denote the union of C. We present an algorithmthat can compute the volume of U(C) in time O(n 4/3 log n). The previously best known algorithm, by Overmars and Yap, computes the volume of the union ofany n axis-aligned boxes in R 3 in O(n 3/2log n) time. Copyright 2007 ACM.

 

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