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The Voronoi diagram is named after mathematician Georgy Voronoy, and is also called a Voronoi tessellation, a Voronoi decomposition, a Voronoi partition, or a Dirichlet tessellation (after Peter …

A centroidal Voronoi diagram, or tessellation, is a Voronoi diagram of a given set such that every generator point is also the centroid, or center of mass, of its Voronoi region.

A Voronoi diagram is sometimes also known as a Dirichlet tessellation. The cells are called Dirichlet regions, Thiessen polytopes, or Voronoi polygons. Voronoi diagrams were considered as early at …

May 28, 2025 · Voronoi diagrams, named after the Russian mathematician Georgy Voronoy, are fascinating geometric structures with applications in various fields such as computer science, …

A Voronoi diagram is defined as a partitioning of D-dimensional space into cells around a set of seed points, where each cell contains all points that are closer to its associated seed point than to any …

A Voronoi region is unbounded if and only if its site is an extreme point (i.e. on the convex hull). Note that as we compute the Voronoi diagram for each subset, we can also compute the convex hull …

The region of influence is called a Voronoi region and the collection of all the Voronoi regions is the Voronoi diagram. The Voronoi diagram is an N-D geometric construct, but most practical applications …

Apr 17, 2025 · A Voronoi diagram (also known as a Dirichlet tessellation or Thiessen polygons) is a diagram pattern that divides space into regions (cells) based on proximity to a set of points in a …

Mar 18, 2024 · In this tutorial, we’ll explore the Voronoi diagram. It’s a simple mathematical intricacy that often arises in nature, and can also be a very practical tool in science.