Covering points with minimum/maximum area orthogonally convex polygons


Evrendilek C., GENÇ B. , Hnich B.

COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, cilt.54, ss.32-44, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 54
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.comgeo.2016.02.003
  • Dergi Adı: COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS
  • Sayfa Sayıları: ss.32-44

Özet

In this paper, we address the problem of covering a given set of points on the plane with minimum and/or maximum area orthogonally convex polygons. It is known that the number of possible orthogonally convex polygon covers can be exponential in the number of input points. We propose, for the first time, an O(n(2)) algorithm to construct either the maximum or the minimum area orthogonally convex polygon if it exists, else report the non-existence in O (n log n). (C) 2016 Elsevier B.V. All rights reserved.