An Efficient Indexing Scheme for Multi-dimensional Moving Objects

  • Khaled Elbassioni
  • Amr Elmasry
  • Ibrahim Kamel
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2572)

Abstract

We consider the problem of indexing a set of objects moving in d-dimensional space along linear trajectories. A simple disk-based indexing scheme is proposed to efficiently answer queries of the form: report all objects that will pass between two given points within a specified time interval. Our scheme is based on mapping the objects to a dual space, where queries about moving objects translate into polyhedral queries concerning their speeds and initial locations.We then present a simple method for answering such polyhedral queries, based on partitioning the space into disjoint regions and using a B-tree to index the points in each region. By appropriately selecting the boundaries of each region, we can guarantee an average search time that almost matches a known lower bound for the problem. Specifically, for a fixed d, if the coordinates of a given set of N points are statistically independent, the proposed technique answers polyhedral queries, on the average, in O((N/B)1-1/d .(logB N)1 /d +K/B) I/O’s using O(N/B) space, where B is the block size, and K is the number of reported points. Our approach is novel in that, while it provides a theoretical upper bound on the average query time, it avoids the use of complicated data structures, making it an effective candidate for practical applications.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Khaled Elbassioni
    • 1
  • Amr Elmasry
    • 1
  • Ibrahim Kamel
    • 2
  1. 1.Computer Science DepartmentAlexandria UniversityEgypt
  2. 2.College of Information SystemsZayed UniversityUnited Arab Emirates

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