Rectilinear and O-convex hull with minimum area

نویسندگان

  • Carlos Alegría-Galicia
  • David Orden
  • Carlos Seara
  • Jorge Urrutia
چکیده

Let P be a set of n points in the plane and O be a set of k lines passing through the origin. We show: (1) How to compute the O-hull of P in Θ(n log n) time and O(n) space, (2) how to compute and maintain the rotated hull OHθ(P ) for θ ∈ [0, 2π) in O(kn log n) time and O(kn) space, and (3) how to compute in Θ(n log n) time and O(n) space a value of θ for which the rectilinear convex hull, RHθ(P ), has minimum area, thus improving the previously best O(n) algorithm presented by Bae et al. in 2009.

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عنوان ژورنال:
  • CoRR

دوره abs/1710.10888  شماره 

صفحات  -

تاریخ انتشار 2017