Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Centroidal_Voronoi_tessellation> ?p ?o. }
Showing items 1 to 35 of
35
with 100 items per page.
- Centroidal_Voronoi_tessellation abstract "In geometry, a centroidal Voronoi tessellation (CVT) is a special type of Voronoi tessellation or Voronoi diagrams. A Voronoi tessellation is called centroidal when the generating point of each Voronoi cell is also its mean (center of mass). It can be viewed as an optimal partition corresponding to an optimal distribution of generators. A number of algorithms can be used to generate centroidal Voronoi tessellations, including Lloyd's algorithm for K-means clustering. Gersho's conjecture, proven for one and two dimensions, says that "asymptotically speaking, all cells of the optimal CVT, while forming a tessellation, are congruent to a basic cell which depends on the dimension." In two dimensions, the basic cell for the optimal CVT is a regular hexagon.Centroidal Voronoi tessellations are useful in data compression, optimal quadrature, optimal quantization, clustering, and optimal mesh generation. Many patterns seen in nature are closely approximated by a Centroidal Voronoi tesselation. Examples of this include the Giant's Causeway, the cells of the cornea, and the breeding pits of the male tilapia.".
- Centroidal_Voronoi_tessellation thumbnail CentroidalVoronoiTessellation1.png?width=300.
- Centroidal_Voronoi_tessellation wikiPageID "14087640".
- Centroidal_Voronoi_tessellation wikiPageRevisionID "579768613".
- Centroidal_Voronoi_tessellation align "center".
- Centroidal_Voronoi_tessellation direction "horizontal".
- Centroidal_Voronoi_tessellation footerAlign "right".
- Centroidal_Voronoi_tessellation hasPhotoCollection Centroidal_Voronoi_tessellation.
- Centroidal_Voronoi_tessellation header "Three centroidal Voronoi tessellations of five points in a square".
- Centroidal_Voronoi_tessellation headerAlign "center".
- Centroidal_Voronoi_tessellation image "CentroidalVoronoiTessellation1.png".
- Centroidal_Voronoi_tessellation image "CentroidalVoronoiTessellation2.png".
- Centroidal_Voronoi_tessellation image "CentroidalVoronoiTessellation3.png".
- Centroidal_Voronoi_tessellation width "200".
- Centroidal_Voronoi_tessellation subject Category:Diagrams.
- Centroidal_Voronoi_tessellation subject Category:Discrete_geometry.
- Centroidal_Voronoi_tessellation subject Category:Geometric_algorithms.
- Centroidal_Voronoi_tessellation type Artifact100021939.
- Centroidal_Voronoi_tessellation type Creation103129123.
- Centroidal_Voronoi_tessellation type Diagram103186399.
- Centroidal_Voronoi_tessellation type Diagrams.
- Centroidal_Voronoi_tessellation type Drawing103234306.
- Centroidal_Voronoi_tessellation type Object100002684.
- Centroidal_Voronoi_tessellation type PhysicalEntity100001930.
- Centroidal_Voronoi_tessellation type Representation104076846.
- Centroidal_Voronoi_tessellation type Whole100003553.
- Centroidal_Voronoi_tessellation comment "In geometry, a centroidal Voronoi tessellation (CVT) is a special type of Voronoi tessellation or Voronoi diagrams. A Voronoi tessellation is called centroidal when the generating point of each Voronoi cell is also its mean (center of mass). It can be viewed as an optimal partition corresponding to an optimal distribution of generators. A number of algorithms can be used to generate centroidal Voronoi tessellations, including Lloyd's algorithm for K-means clustering.".
- Centroidal_Voronoi_tessellation label "Centroidal Voronoi tessellation".
- Centroidal_Voronoi_tessellation sameAs m.03ct35t.
- Centroidal_Voronoi_tessellation sameAs Q5062961.
- Centroidal_Voronoi_tessellation sameAs Q5062961.
- Centroidal_Voronoi_tessellation sameAs Centroidal_Voronoi_tessellation.
- Centroidal_Voronoi_tessellation wasDerivedFrom Centroidal_Voronoi_tessellation?oldid=579768613.
- Centroidal_Voronoi_tessellation depiction CentroidalVoronoiTessellation1.png.
- Centroidal_Voronoi_tessellation isPrimaryTopicOf Centroidal_Voronoi_tessellation.