Validity Information Retrieval for Spatio-Temporal Queries: Theoretical Performance Bounds

  • Yufei Tao
  • Nikos Mamoulis
  • Dimitris Papadias
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2750)


The results of traditional spatial queries (i.e., range search, nearest neighbor, etc.) are usually meaningless in spatio-temporal applications, because they will be invalidated by the movements of query and/or data objects. In practice, a query result R should be accompanied with validity information specifying (i) the (future) time T that R will expire, and (ii) the change C of R at time T (so that R can be updated incrementally). Although several algorithms have been proposed for this problem, their worst-case performance is the same as that of sequential scan. This paper presents the first theoretical study on validity queries, and develops indexes and algorithms with attractive I/O complexities. Our discussion covers numerous important variations of the problem and different query/object mobility combinations. The solutions involve a set of non-trivial reductions that reveal the problem characteristics and permit the deployment of existing structures.


Voronoi Diagram Near Neighbor Query Time Spatial Query Partition Tree 
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.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Yufei Tao
    • 1
  • Nikos Mamoulis
    • 2
  • Dimitris Papadias
    • 3
  1. 1.Department of Computer ScienceCarnegie Mellon UniversityUSA
  2. 2.Department of Computer Science and Information SystemsUniversity of Hong KongHong Kong
  3. 3.Department of Computer ScienceHong Kong University of Science and TechnologyHong Kong

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