Fast spatial decomposition and closest pair computation for limited precision input


Journal Article

In this paper we show that if the input points to the geometric closest pair problem are given with limited precision (each coordinate is specified with O(log n) bits), then we can compute the closest pair in O (n log log n) time. We also apply our spatial decomposition technique to the k-nearest neighbor and n-body problems, achieving similar improvements. To make use of the limited precision of the input points, we use a reasonable machine model that allows "bit shifting" in constant time -We believe that this model is realistic, and provides an interesting way of beating the Ω(n log n) lower bound that exists for this problem using the more typical algebraic RAM model.

Full Text

Duke Authors

Cited Authors

  • Reif, JH; Tate, SR

Published Date

  • November 1, 2000

Published In

Volume / Issue

  • 28 / 3

Start / End Page

  • 271 - 287

International Standard Serial Number (ISSN)

  • 0178-4617

Digital Object Identifier (DOI)

  • 10.1007/s004530010040

Citation Source

  • Scopus