论文标题

简单多边形中和弦增加的最短路径

The Shortest Path with Increasing Chords in a Simple Polygon

论文作者

Hagedoorn, Mart, Kostitsyna, Irina

论文摘要

我们研究了在简单多边形中找到最短路径的问题。当且仅在任何点a,b,c和d时,路径就会增加和弦,以该顺序为| AD | > = | bc |。在本文中,我们表明,增加和弦的最短路径是独一无二的,并提出了构建算法的算法。

We study the problem of finding the shortest path with increasing chords in a simple polygon. A path has increasing chords if and only if for any points a, b, c, and d that lie on the path in that order, |ad| >= |bc|. In this paper we show that the shortest path with increasing chords is unique and present an algorithm to construct it.

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