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CCCG
2006
13 years 6 months ago
Rotationally Monotone Polygons
We introduce a generalization of monotonicity. An n-vertex polygon P is rotationally monotone with respect to a point r if there exists a partitioning of the boundary of P into ex...
Prosenjit Bose, Pat Morin, Michiel H. M. Smid, Ste...
ISAAC
1999
Springer
91views Algorithms» more  ISAAC 1999»
13 years 9 months ago
Convexifying Monotone Polygons
This paper considers recon gurations of polygons, where each polygon edge is a rigid link, no two of which can cross during the motion. We prove that one can recon gure any monoton...
Therese C. Biedl, Erik D. Demaine, Sylvain Lazard,...
CCCG
2010
13 years 6 months ago
Any monotone boolean function can be realized by interlocked polygons
We show how to construct interlocked collections of simple polygons in the plane that fall apart upon removing certain combinations of pieces. Precisely, interiordisjoint simple p...
Erik D. Demaine, Martin L. Demaine, Ryuhei Uehara
CCCG
2010
13 years 6 months ago
Computing the straight skeleton of a monotone polygon in O(n log n) time
The straight skeleton of a simple polygon is defined as the trace of the vertices when the initial polygon is shrunken in self-parallel manner [2]. In this paper, we propose a sim...
Gautam K. Das, Asish Mukhopadhyay, Subhas C. Nandy...
PSIVT
2007
Springer
110views Multimedia» more  PSIVT 2007»
13 years 11 months ago
Measuring Linearity of Ordered Point Sets
It is often practical to measure how linear a certain ordered set of points is. We are interested in linearity measures which are invariant to rotation, scaling, and translation. T...
Milos Stojmenovic, Amiya Nayak