Polygon placement under translation and rotation
Francis Avnaim, Jean-Daniel Boissonnat (1989)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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Francis Avnaim, Jean-Daniel Boissonnat (1989)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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Mirzoev, Tigran, Vassilev, Tzvetalin (2010)
Serdica Journal of Computing
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We consider the problems of finding two optimal triangulations of a convex polygon: MaxMin area and MinMax area. These are the triangulations that maximize the area of the smallest area triangle in a triangulation, and respectively minimize the area of the largest area triangle in a triangulation, over all possible triangulations. The problem was originally solved by Klincsek by dynamic programming in cubic time [2]. Later, Keil and Vassilev devised an algorithm that runs in O(n^2...