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» Combinatorial complexity in O-minimal geometry
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COCOA
2007
Springer
13 years 11 months ago
Scaling, Renormalization, and Universality in Combinatorial Games: The Geometry of Chomp
: We develop a new approach to combinatorial games (e.g., chess, Go, checkers, Chomp, Nim) that unveils connections between such games and nonlinear phenomena commonly seen in natu...
Eric J. Friedman, Adam Scott Landsberg
CVPR
2004
IEEE
14 years 7 months ago
Efficient Search of Faces from Complex Line Drawings
Single 2D line drawing is a straightforward method to illustrate 3D objects. The faces of an object depicted by a line drawing give very useful information for the reconstruction ...
Jianzhuang Liu, Xiaoou Tang
COMPGEOM
2010
ACM
13 years 10 months ago
Better bounds on the union complexity of locally fat objects
We prove that the union complexity of a set of n constantcomplexity locally fat objects (which can be curved and/or non-convex) in the plane is O(λt+2(n) log n), where t is the m...
Mark de Berg
ESA
2007
Springer
176views Algorithms» more  ESA 2007»
13 years 11 months ago
Arrangements in Geometry: Recent Advances and Challenges
We review recent progress in the study of arrangements in computational and combinatorial geometry, and discuss several open problems and areas for further research. In this talk I...
Micha Sharir
COMPGEOM
2004
ACM
13 years 10 months ago
On lines avoiding unit balls in three dimensions
Let B be a set of n unit balls in R3 . We show that the combinatorial complexity of the space of lines in R3 that avoid all the balls of B is O(n3+ε ), for any ε > 0. This re...
Pankaj K. Agarwal, Boris Aronov, Vladlen Koltun, M...