Using simplicial partitions to determine a closest point to a query line

  • Authors:
  • Asish Mukhopadhyay

  • Affiliations:
  • School of Computer Science, University of Windsor, 401, Sunset Avenue, Windsor, Ont., Canada N9B 3P

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 2003

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Abstract

In this note we show that simplicial partitions can be used to answer the following queries efficiently: given a point set in the plane, determine a point that is closest to an arbitrary query line. We also propose an alternate scheme that is very practical and easy to implement.