Computing the volume of the union of cubes


Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Agarwal, PK; Kaplan, H; Sharir, M

Published Date

  • October 22, 2007

Published In

  • Proceedings of the Annual Symposium on Computational Geometry

Start / End Page

  • 294 - 301

Digital Object Identifier (DOI)

  • 10.1145/1247069.1247121

Citation Source

  • Scopus