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Where Were the Birds Staying Last Week?

Author

Listed:
  • Ali Gholami Rudi

    (Department of Electrical and Computer Engineering, Babol Noshirvani University of Technology, Babol, Iran)

Abstract

A stay region of a moving object is a region in which it spends a significant amount of time. Given the location of an object through a certain time interval, i.e. its trajectory, our goal is to find its stay regions. We consider axis-parallel square stay regions of fixed side length, which contain the longest continuous portion of the trajectory. We present an algorithm for answering time-windowed stay region queries, to find a stay region in any given time interval. The algorithm has an approximation factor of 1∕2 and answers each query with the time complexity O(logn), in which n is the number of vertices of the input trajectory. The time complexity of the preprocessing step of the algorithm is O(n). We also present two approximation algorithms for finding stay regions of whole trajectories.

Suggested Citation

  • Ali Gholami Rudi, 2020. "Where Were the Birds Staying Last Week?," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 581-592, November.
    • Handle: RePEc:wsi:nmncxx:v:16:y:2020:i:03:n:s1793005720500350
    DOI: 10.1142/S1793005720500350
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