A Voronoi diagram divides a plane into regions where each region belongs to the closest point (called a "site") from a set of input points. The edges of the diagram are the locations that are equally ...

Centroidal Voronoi tessellation (CVT) represents a unique configuration of Voronoi diagrams in which each generating point is also the centre of mass of the corresponding cell. This approach has ...

Abstract: Voronoi diagram is commonly used to visualize geographical point dataset with a collection of plane-partitioned facets. As the size of the geographical point dataset increases, facets are ...

We consider the Voronoi diagram generated by n independent and identically distributed ℝd-valued random variables with an arbitrary underlying probability density function f on ℝd, and analyze the ...

When the Fry Building was being designed as the new home for the School of Mathematics, we wanted to build in public art connected with our subject. We decided to commission a specially-designed brise ...