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STACS
1990
Springer

Approximation of Convex Figures by Pairs of Rectangles

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Approximation of Convex Figures by Pairs of Rectangles
We consider the problem of approximating a convex gure in the plane by a pair (r; R) of homothetic (that is, similar and parallel) rectangles with r C R. We show the existence of such a pair where the sides of the outer rectangle are at most twice as long as the sides of the inner rectangle, thereby solving a problem posed by Polya and Szeg}o. If the n vertices of a convex polygon C are given as a sorted array, such an approximating pair of rectangles can be computed in time O(log2 n).
Otfried Schwarzkopf, Ulrich Fuchs, Günter Rot
Added 11 Aug 2010
Updated 11 Aug 2010
Type Conference
Year 1990
Where STACS
Authors Otfried Schwarzkopf, Ulrich Fuchs, Günter Rote, Emo Welzl
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