In mathematics, a Voronoi diagram is a partitioning of a plane into regions based on distance to points in a specific subset of the plane. That set of points (called seeds, sites, or generators) is specified beforehand, and for each seed there is a corresponding region consisting of all points closer to that seed than to any other.

Relationship with the Voronoi diagram. The Delaunay triangulation of a discrete point set P in general position corresponds to the dual graph of the Voronoi diagram for P.

VDRC website . Welcome to Voronoi Diagram Research Center (VDRC). VDRC is dedicated to study the Voronoi diagram of various kinds for both practical and theoretical view points.

v1.0: The object is broken in a number of chunks equal to 'Nb Parts' to the power of 'Iterations', using Voronoi cells. The final number appears on the 'Break' button.

Voro++ example programs. Voro++ has a C++ interface that can be used to carry out many types of Voronoi computations. In the “examples” directory of the source distribution, there are numerous examples that demonstrate the features of the code.

Overview. Voro++ is a software library for carrying out three-dimensional computations of the Voronoi tessellation. A distinguishing feature of the Voro++ library is that it carries out cell-based calculations, computing the Voronoi cell for each particle individually.

»furthest-site qvoronoi synopsis See qvoronoi synopsis. The same program is used for both constructions. Use option 'Qu' for furthest-site Voronoi diagrams.

Voronoi treemap visualization written in JavaScript. Innovative layouts, animated interactions, endless customization. Free demo.

Spatial data analysis is a fast growing area and Voronoi diagrams provide a means of naturally partitioning space into subregions to facilitate spatial data manipulation, modelling of spatial structures, pattern recognition and locational optimization.

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In mathematics, a Voronoi diagram is a partitioning of a plane into regions based on distance to points in a specific subset of the plane. That set of points is ...

Voronoi diagrams were considered as early at 1644 by René Descartes and were used by Dirichlet (1850) in the investigation of positive quadratic forms.

Voronoi Tessellations. This week I'm going to talk about Voronoi diagrams. These constructions are really pretty, and simple to explain. Imagine I'm in a desert, ...

Overview of Voronoi partitions. You can explore the interactive program used in this video here.

A Voronoi diagram is a simple concept, and it's based on the minimal distance needed to reach a landmark. If you need to go to a metro station, the most natural ...

Oct 7, 2013 ... A visual introduction to the Voronoi Diagram. This is suitable for a first-time intuitive understanding of its concepts; or a quick revision before a ...

Jan 23, 2017 ... Such a map is called a Voronoi diagram, named after Georgy Voronoi, a mathematician born in Ukraine in 1868. He is remembered today ...

A Voronoi diagram for a set of seed points divides space into a number of regions . There is one region for each seed, consisting of all points closer to that seed ...

THE BOOST POLYGON VORONOI EXTENSIONS. The Voronoi extensions of the Boost Polygon library provide functionality to construct a Voronoi diagram of a ...