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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