“构建最短值守路线的增量算法”的勘误表

X. Tan, T. Hirata, Y. Inagaki
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引用次数: 78

摘要

研究了在一个简单多边形P中,通过其边界上的点s找到最短值守路线的问题。如果P内的每个点都可以从至少一个点上看到,则该路线为守望者路线。本文提出了一种增量算法,该算法在O(n3)时间内为具有n条边的简单多边形构造最短的守望者路径。这改进了之前的O(n4)界。
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Corrigendum to "An Incremental Algorithm for Constructing Shortest Watchman Routes"
The problem of finding the shortest watchman route in a simple polygon P through a point s on its boundary is considered. A route is a watchman route if every point inside P can be seen from at least one point along the route. We present an incremental algorithm that constructs the shortest watchman route in O(n3) time for a simple polygon with n edges. This improves the previous O(n4) bound.
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