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...
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,...
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...
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...
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...