We obtain lower bounds in the algebraic computation tree model for deciding the separability of two disjoint point sets. In particular, we show (n log n) time lower bounds for sep...
Esther M. Arkin, Ferran Hurtado, Joseph S. B. Mitc...
We describe the first known algorithm for efficiently maintaining a Binary Space Partition (BSP) for n continuously moving segments in the plane, whose interiors remain disjoint...
Pankaj K. Agarwal, Leonidas J. Guibas, T. M. Mural...
Voronoi diagram for a set of geometric objects is a partition of the plane (or space in higher dimensions) into disjoint regions each dominated by some given object under a predet...
Robust analysis of vector fields has been established as an important tool for deriving insights from the complex systems these fields model. Many analysis techniques rely on co...
Motivated by applications in computer graphics, visualization, and scienti c computation, we study the computational complexity of the following problem: Given a set S of n points...