An Upper Bound on Trilaterating Simple Polygons
نویسندگان
چکیده
In this work, we introduce the Minimum Trilateration Problem, the problem of placing distance measuring guards in a polygon in order to locate points in the interior. We provide the first non-trivial bounds on trilaterating simple polygons, by showing that b 8N 9 c guards suffice for any non-degenerate polygon of N sides, and present an O(N logN) algorithm for the corresponding placement. We also show how this mapping can be efficiently inverted, in order to determine a point’s location given its distances to the guards which can see it.
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