Convexifying Monotone Polygons

Therese C. Biedl, Erik D. Demaine, Sylvain Lazard, Steven M. Robbins, and Michael A. Soss, ``Convexifying Monotone Polygons,'' in Proceedings of the 10th Annual International Symposium on Algorithms and Computation (ISAAC'99), Lecture Notes in Computer Science, volume 1741, Chennai, India, December 16-18, 1999, pages 415-424.

This paper considers reconfigurations of polygons, where each polygon edge is a rigid link, no two of which can cross during the motion. We prove that one can reconfigure any monotone polygon into a convex polygon; a polygon is monotone if any vertical line intersects the interior at a (possibly empty) interval. Our algorithm computes in O(n2) time a sequence of O(n2) moves, each of which rotates just four joints at once.

© Springer-Verlag.

10 pages.

Compressed postscript file: ISAAC'99 (72k).

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Sylvain Lazard
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