On the optimal bisection of a polygon (extended abstract)

SCG '90 Pub Date : 1990-05-01 DOI:10.1145/98524.98565
E. Koutsoupias, C. Papadimitriou, M. Sideri
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引用次数: 1

Abstract

We give a polynomial approximation sceme for subdividing a simple polygon into approximately equal parts by curves of the smallest possible total length. For convex polygons we show that an exact fast algorithm is possible. Several generalizations are shown NP-complete.
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关于多边形的最优等分(扩展抽象)
我们给出了一个多项式近似方案,用尽可能小的总长度的曲线将一个简单多边形细分为近似相等的部分。对于凸多边形,我们证明了一种精确的快速算法是可能的。有几个推广是np完全的。
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Linear programming and convex hulls made easy Computing the minimum Hausdorff distance for point sets under translation On solving geometric optimization problems using shortest paths Maximin location of convex objects in a polygon and related dynamic Voronoi diagrams An O(n2log n) time algorithm for the MinMax angle triangulation
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