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Information and Computation
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Finding minimal convex nested polygons

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Abstract

We consider the problem of finding a polygon nested between two given convex polygons that has a minimal number of vertices. Our main result is an O(n log k) algorithm for solving the problem, where n is the total number of vertices of the given polygons, and k is the number of vertices of a minimal nested polygon. We also present an O(n) sub-optimal algorithm, and a simple O(nk) optimal algorithm. © 1989.

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Information and Computation

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