The spatial cosmic matter distribution on scales of a few up to more than a hundred Megaparsec1 displays a salient and pervasive foamlike pattern. Voronoi tessellations are a vers...
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...
We obtain a near-tight bound of O(n3+ε ), for any ε > 0, on the complexity of the overlay of the minimization diagrams of two collections of surfaces in four dimensions. This...
In this paper we give a practical and e cient output-sensitive algorithm for constructing the display of a polyhedral terrain. It runs in Od + nlog2 n time and uses On n space, wh...
Point hierarchies are suitable for creating framecoherent animations of 3D models in non-photorealistic styles such as stippling, painterly and other artistic rendering. In this p...