%0 Journal Article %1 1994 %A Scheike, Thomas H. %D 1994 %I Applied Probability Trust %J Advances in Applied Probability %K Poisson-Voronoi Voronoi_cells spatial_allocation %N 1 %P 43--53 %T Anisotropic Growth of Voronoi Cells %U http://www.jstor.org/stable/1427577 %V 26 %X This paper discusses a simple extension of the classical Voronoi tessellation. Instead of using the Euclidean distance to decide the domains corresponding to the cell centers, another translation-invariant distance is used. The resulting tessellation is a scaled version of the usual Voronoi tessellation. Formulas for the mean characteristics (e.g. mean perimeter, surface and volume) of the cells are provided in the case of cell centers from a homogeneous Poisson process. The resulting tessellation is stationary and ergodic but not isotropic.

@article{1994, abstract = {This paper discusses a simple extension of the classical Voronoi tessellation. Instead of using the Euclidean distance to decide the domains corresponding to the cell centers, another translation-invariant distance is used. The resulting tessellation is a scaled version of the usual Voronoi tessellation. Formulas for the mean characteristics (e.g. mean perimeter, surface and volume) of the cells are provided in the case of cell centers from a homogeneous Poisson process. The resulting tessellation is stationary and ergodic but not isotropic.}, added-at = {2009-08-20T01:04:43.000+0200}, author = {Scheike, Thomas H.}, biburl = {https://www.bibsonomy.org/bibtex/266a24e323ad6323ef749542a38b006da/peter.ralph}, copyright = {Copyright © 1994 Applied Probability Trust}, interhash = {8844a939b63f09202f14e094a28bf00f}, intrahash = {66a24e323ad6323ef749542a38b006da}, issn = {00018678}, journal = {Advances in Applied Probability}, jstor_articletype = {primary_article}, jstor_formatteddate = {Mar., 1994}, keywords = {Poisson-Voronoi Voronoi_cells spatial_allocation}, number = 1, pages = {43--53}, publisher = {Applied Probability Trust}, timestamp = {2010-10-04T23:23:08.000+0200}, title = {Anisotropic Growth of Voronoi Cells}, url = {http://www.jstor.org/stable/1427577}, volume = 26, year = 1994 }