An improved algorithm for computing the volume of the union of cubes

Pankaj K. Agarwal · 2010

Let C be a set of n axis-aligned cubes in ℜ3, and let U(C) denote the union of C. We present an algorithm that computes the volume of U(C) in time O(n polylog(n)). The previously best known algorithm takes O(n4/3 log2 n) time.

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