… With this view it turns out that the standard Euclidean Voronoi Diagram of point sets in R’ …
new Voronoi Diagram algorithms. We a!so discuss how the formalism of arrangements can …

We give a simple lazy randomized incremental algorithm to compute ≤k-levels in arrangements
of x-monotone Jordan curves in the plane, and in arrangements of planes in three-…

The topic of this chapter, Voronoi diagrams, differs from other areas of computational geometry,
in that its origin dates back to the 17th century. In his book on the principles of philosophy …

… of Voronoi diagrams for the creation of ornamental designs. In particular, I concentrate on the
fact that computing a Voronoi diagram … arrangements of points (also called “point patterns”). …

… in natural science journals that address the Voronoi diagram … some number of points in the
plane, their Voronoi diagram … We first give a usual generic definition of the Voronoi diagram…

… is, however, special because each hyperlane in this arrangement bounds the convex …
algorithm for Voronoi diagrams. The problem of constructing higher-order Voronoi diagrams was …

… more complex, adaptive geometries, the Voronoi diagram has recently gained some attention,
as … The project looks at the Voronoi diagram as a load-bearing structure, whether its formal …

… In this book a unifying approach to the theory of Voronoi diagrams is proposed by introducing
abstract Voronoi diagrams (Chapter 2). These are not based on the notions of sites and …

… As the points move, the Voronoi diagram changes continuottsly, but at certain critical …
diagram. Our goal is to maintain the Voronoi diagram over time in some useful data structure. …

… First, we provide a rather general definition of the notion of a Voronoi diagram which … to
represent a Voronoi diagram is its incidence graph defined analogously as for arrangements of …