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CCCG
2010
15 years 1 months ago
Fast local searches and updates in bounded universes
Given a bounded universe {0, 1, . . . , U-1}, we show how to perform (successor) searches in O(log log ) expected time and updates in O(log log ) expected amortized time, where i...
Prosenjit Bose, Karim Douïeb, Vida Dujmovic, ...
CCCG
2010
15 years 1 months ago
Zipper unfoldings of polyhedral complexes
We explore which polyhedra and polyhedral complexes can be formed by folding up a planar polygonal region and fastening it with one zipper. We call the reverse process a zipper un...
Anna Lubiw, Erik D. Demaine, Martin L. Demaine, Ar...
CCCG
2010
15 years 1 months ago
Blocking delaunay triangulations
Given a set B of n blue points in general position, we say that a set of red points R blocks B if in the Delaunay triangulation of B R there is no edge connecting two blue points...
Oswin Aichholzer, Ruy Fabila Monroy, Thomas Hackl,...
CCCG
2010
15 years 1 months ago
On the variance of random polygons
A random polygon is the convex hull of uniformly distributed random points in a convex body K R2 . General upper bounds are established for the variance of the area of a random p...
William L. Steiger, Imre Bárány
CCCG
2010
15 years 1 months ago
Existence of zone diagrams in compact subsets of uniformly convex spaces
A zone diagram is a relatively new concept which has emerged in computational geometry and is related to Voronoi diagrams. Formally, it is a fixed point of a certain mapping, and ...
Eva Kopecká, Daniel Reem, Simeon Reich