作者
Sandip Das, Partha P Goswami, Subhas C Nandy
发表日期
2009/10
期刊
International Journal of Computational Geometry & Applications
卷号
19
期号
05
页码范围
457-478
出版商
World Scientific Publishing Company
简介
Given a set of n colored points in IR2 with a total of m (3 ≤ m ≤ n) colors, the problem of identifying the smallest color-spanning object of some predefined shape is studied in this paper. We shall consider two different shapes: (i) corridor and (ii) rectangle of arbitrary orientation. Our proposed algorithm for identifying the smallest color-spanning corridor is simple and runs in O(n2log n) time using O(n) space. A dynamic version of the problem is also studied, where new points may be added, and the narrowest color-spanning corridor at any instance can be reported in O(mn(α(n))2log m) time. Our algorithm for identifying the smallest color-spanning rectangle of arbitrary orientation runs in O(n3log m) time and O(n) space.
引用总数
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S Das, PP Goswami, SC Nandy - International Journal of Computational Geometry & …, 2009