作者
Jeet Chaudhuri, Subhas C Nandy, Sandip Das
发表日期
2003/1/1
期刊
Journal of algorithms
卷号
46
期号
1
页码范围
54-78
出版商
Academic Press
简介
This work generalizes the classical problem of finding the largest empty rectangle among obstacles in 2D. Given a set P of n points, here a maximal empty rectangle (MER) is defined as a rectangle of arbitrary orientation such that each of its four boundaries contain at least one member of P and the interior of the rectangle is empty. We propose a very simple algorithm based on standard data structure to locate a MER of largest area in the plane. The worst-case time complexity of our algorithm is O(n3). Though the worst-case space complexity is O(n2), it reserves O(nlogn) space on an average to maintain the required data structure during the execution of the algorithm.
引用总数
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学术搜索中的文章
J Chaudhuri, SC Nandy, S Das - Journal of algorithms, 2003