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CCCG
2006
13 years 8 months ago
Polygons Flip Finitely: Flaws and a Fix
Every simple planar polygon can undergo only a finite number of pocket flips before becoming convex. Since Erdos posed this as an open problem in 1935, several independent purport...
Erik D. Demaine, Blaise Gassend, Joseph O'Rourke, ...
CCCG
2006
13 years 8 months ago
On Planar Path Transformation
A flip or edge-replacement is considered as a transformation by which one edge e of a geometric object is removed and an edge f (f = e) is inserted such that the resulting object ...
Kamrul Islam, Selim G. Akl, Henk Meijer
CCCG
2006
13 years 8 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...
CCCG
2006
13 years 8 months ago
2D Triangulation Representation Using Stable Catalogs
The problem of representing triangulations has been widely studied to obtain convenient encodings and space efficient data structures. In this paper we propose a new practical app...
Abdelkrim Mebarki, Luca Castelli Aleardi, Olivier ...
CCCG
2003
13 years 8 months ago
The Gaussian Centre of a Set of Mobile Points
Abstract Steph Durocher∗ and David Kirkpatrick† Department of Computer Science, University of British Columbia Vancouver BC, Canada Given a set of client positions as input, f...
Stephane Durocher, David G. Kirkpatrick