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Close approximations of minimum rectangular coverings

Publiceringsår: 1996
Språk: Engelska
Sidor: 135-146
Publikation/Tidskrift/Serie: Foundations of software technology and theoretical computer science : 16th Conference / Lecture notes in computer science
Volym: 1180
Dokumenttyp: Konferensbidrag
Förlag: Springer


We consider the problem of covering arbitrary polygons with rectangles. The rectangles must lie entirely within the polygon. (This requires that the interior angles of the polygon are all greater than or equal to 90 degrees.) We want to cover the polygon with as few rectangles as possible. This problem has an application in fabricating masks for integrated circuits.

In this paper we will describe the first polynomial algorithm, guaranteeing an O(log n) approximation factor, provided that the n vertices of the input polygon are given as polynomially bounded integer coordinates. By the same technique we also obtain the first algorithm producing a covering which is within a constant factor of the optimal in exponential time (compared to the doubly-exponential known before).


  • Computer Science


  • ISBN: 3540620346

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