Voronoi cells: Difference between revisions
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The '''Voronoi cells''' or '''Voronoi tessellation''' or '''Dirichlet tesselation''' or '''Wigner-Seitz cells'''. | The '''Voronoi cells''' or '''Voronoi tessellation''' or '''Dirichlet tesselation''' or '''Wigner-Seitz cells'''. | ||
==See also== | ==See also== | ||
*[[Delaunay | *[[Delaunay triangulation]] | ||
==References== | ==References== | ||
# G. F. Voronoi "Nouvelles applications des paramètres continus à la théorie des formes quadratiques - Deuxième mémoire", Journal für die reine und angewandte Mathematik '''134''' pp. 198-287 (1908) | # G. F. Voronoi "Nouvelles applications des paramètres continus à la théorie des formes quadratiques - Deuxième mémoire", Journal für die reine und angewandte Mathematik '''134''' pp. 198-287 (1908) | ||
Revision as of 13:21, 7 September 2007
The Voronoi cells or Voronoi tessellation or Dirichlet tesselation or Wigner-Seitz cells.
See also
References
- G. F. Voronoi "Nouvelles applications des paramètres continus à la théorie des formes quadratiques - Deuxième mémoire", Journal für die reine und angewandte Mathematik 134 pp. 198-287 (1908)
- Witold Brostow, Jean-Pierre Dussault and Bennett L. Fox "Construction of Voronoi polyhedra", Journal of Computational Physics 29 pp. 81-92 (1978)
- J. L. Finney "A procedure for the construction of Voronoi polyhedra", Journal of Computational Physics 32 pp. 137-143 (1979)
- Masaharu Tanemura, Tohru Ogawa and Naofumi Ogita "A new algorithm for three-dimensional voronoi tessellation", Journal of Computational Physics 51 pp. 191-207 (1983)
- C. S. Hsu and Aneesur Rahman "Interaction potentials and their effect on crystal nucleation and symmetry", Journal of Chemical Physics 71 pp. 4974-4986 (1979)
- J. Neil Cape, John L. Finney and Leslie V. Woodcock "An analysis of crystallization by homogeneous nucleation in a 4000-atom soft-sphere model", Journal of Chemical Physics 75 pp. 2366-2373 (1981)
- Nikolai N. Medvedev, Alfons Geiger and Witold Brostow "Distinguishing liquids from amorphous solids: Percolation analysis on the Voronoi network", Journal of Chemical Physics 93 pp. 8337-8342 (1990)
- J. C. Gil Montoro and J. L. F. Abascal "The Voronoi polyhedra as tools for structure determination in simple disordered systems", Journal of Physical Chemistry 97 pp. 4211 - 4215 (1993)
- V. Senthil Kumar and V. Kumaran "Voronoi cell volume distribution and configurational entropy of hard-spheres", Journal of Chemical Physics 123 114501 (2005)
- V. Senthil Kumar and V. Kumaran "Voronoi neighbor statistics of hard-disks and hard-spheres", Journal of Chemical Physics 123 074502 (2005)