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Voronoi-based reverse nearest neighbor query processing on spatial networks

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Abstract

The use of Voronoi diagram has traditionally been applied to computational geometry and multimedia problems. In this paper, we will show how Voronoi diagram can be applied to spatial query processing, and in particular to Reverse Nearest Neighbor (RNN) queries. Spatial and geographical query processing, in general, and RNN in particular, are becoming more important, as online maps are now widely available. In this paper, using the concept of Voronoi diagram, we classify RNN into four types depending on whether the query point and the interest objects are the generator points of the Voronoi Polygon or not. Our approach is based on manipulating Network Voronoi Diagram properties and applying a progressive incremental network expansion for finding the polygon inner network distances required to solve RNN queries. Our experimentation results show that our approaches have good response times in answering RNN queries.

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Authors and Affiliations

  1. Computer Engineering Department, Kuwait University, Kuwait City, Kuwait

    Maytham Safar & Dariush Ibrahimi

  2. Clayton School of Information Technology, Monash University, Melbourne, Australia

    David Taniar

Authors
  1. Maytham Safar
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  2. Dariush Ibrahimi
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  3. David Taniar
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Correspondence to Maytham Safar.

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Safar, M., Ibrahimi, D. & Taniar, D. Voronoi-based reverse nearest neighbor query processing on spatial networks. Multimedia Systems 15, 295–308 (2009). https://doi.org/10.1007/s00530-009-0167-z

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