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Discrete & Computational Geometry

, Volume 36, Issue 4, pp 633–655 | Cite as

Range Counting over Multidimensional Data Streams

  • Subhash Suri
  • Csaba D. Toth
  • Yunhong Zhou
Article

Abstract

We consider the problem of approximate range counting over a stream of d-dimensional points. In the data stream model the algorithm makes a single scan of the data, which is presented in an arbitrary order, and computes a compact summary data structure. The summary, whose size depends on the approximation parameter ε, can be used to count the number of points inside a query range within additive error εn, where n is the size of the stream seen so far. We present several results, deterministic and randomized, for both rectangle and halfspace ranges.

Keywords

Data Stream Query Range Range Space Representative System Range Counting 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Department of Computer Science, University of CaliforniaSanta Barbara, CA 93106USA
  2. 2.Department of Mathematics, Massachusetts Institute of TechnologyCambridge, MA 02139USA
  3. 3.Hewlett-Packard Laboratories, 1501 Page Mill RoadPalo Alto, CA 94304USA

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