Finding minimal convex nested polygons

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.

Authors

• Alok Aggarwal
• Heather Booth
• Joseph O'Rourke
• Subhash Suri
• Chee K. Yap

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