Covering a Point Set by Two Disjoint Rectangles

نویسندگان

  • Hee-Kap Ahn
  • Sang Won Bae
چکیده

Given a set S of n points in the plane, the disjoint two-rectangle covering problem is to find a pair of disjoint rectangles such that their union contains S and the area of the larger rectangle is minimized. In this paper we consider two variants of this optimization problem: (1) the rectangles are free to rotate but must remain parallel to each other, and (2) one rectangle is axis-parallel but the other rectangle is allowed to be in arbitrary orientation. For both of the problems, we present O(n logn)-time algorithms using O(n) space.

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عنوان ژورنال:
  • Int. J. Comput. Geometry Appl.

دوره 21  شماره 

صفحات  -

تاریخ انتشار 2008