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A Simple Framework for the Generalized Nearest Neighbor Problem

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 7357)

Abstract

The problem of finding a nearest neighbor from a set of points in ℝd to a complex query object has attracted considerable attention due to various applications in computational geometry, bio-informatics, information retrieval, etc. We propose a generic method that solves the problem for various classes of query objects and distance functions in a unified way. Moreover, for linear space requirements the method simplifies the known approach based on ray-shooting in the lower envelope of an arrangement.

Keywords

  • Voronoi Diagram
  • Computational Geometry
  • Space Requirement
  • Query Time
  • Recursive Call

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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Hruz, T., Schöngens, M. (2012). A Simple Framework for the Generalized Nearest Neighbor Problem. In: Fomin, F.V., Kaski, P. (eds) Algorithm Theory – SWAT 2012. SWAT 2012. Lecture Notes in Computer Science, vol 7357. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31155-0_8

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  • DOI: https://doi.org/10.1007/978-3-642-31155-0_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31154-3

  • Online ISBN: 978-3-642-31155-0

  • eBook Packages: Computer ScienceComputer Science (R0)