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Computing External-Farthest Neighbors for a Simple Polygon
Excerpt from Computing External-Farthest Neighbors for a Simple Polygon
This paper is divided into five sections. Section 2 discusses the basic geometric concepts that we use in this paper. In Section 3 we prove some properties of external shortest paths, which lead us to an efficient algorithm for computing the external farthest neighbors for every vertex of the polygon. Section 4 describes an O(u log n) algorithm to compute external farthest neighbors. We conclude with some final remarks in Section 5.
This paper is divided into five sections. Section 2 discusses the basic geometric concepts that we use in this paper. In Section 3 we prove some properties of external shortest paths, which lead us to an efficient algorithm for computing the external farthest neighbors for every vertex of the polygon. Section 4 describes an O(u log n) algorithm to compute external farthest neighbors. We conclude with some final remarks in Section 5.
31 pages, Paperback
Published August 24, 2018
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