: 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...
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 ...
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...
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...
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...