Strongly Near Voronoi Nucleus Clusters
Abstract
This paper introduces nucleus clustering in Voronoi tessellations of plane surfaces with applications in the geometry of digital images. A \emph{nucleus cluster} is a collection of Voronoi regions that are adjacent to a Voronoi region called the cluster nucleus. Nucleus clustering is a carried out in a strong proximity space. Of particular interest is the presence of maximal nucleus clusters in a tessellation. Among all of the possible nucleus clusters in a Voronoi tessellation, clusters with the highest number of adjacent polygons are called \emph{maximal nucleus clusters}. The main results in this paper are that strongly near nucleus clusters are strongly descriptively near and every collection of Voronoi regions in a tessellation of a plane surface is a Zelins'kyi-Soltan-Kay-Womble convexity structure.
Cite
@article{arxiv.1602.03734,
title = {Strongly Near Voronoi Nucleus Clusters},
author = {J. F. Peters and E. Inan},
journal= {arXiv preprint arXiv:1602.03734},
year = {2016}
}
Comments
7 pages, 2 figures