THE CHARACTER OF PLANAR TESSELLATIONS WHICH ARE NOT SIDE-TO-SIDE
-
Published:2014-03-05
Issue:1
Volume:33
Page:39
-
ISSN:1854-5165
-
Container-title:Image Analysis & Stereology
-
language:
-
Short-container-title:Image Anal Stereol
Author:
Cowan Richard,Thäle Christoph
Abstract
This paper studies stationary tessellations and tilings of the plane in which all cells are convex polygons. The focus is on the class of tessellations which are not side-to-side. The character of these tessellations is explored, with special attention paid to the relationship between edges of the tessellation and sides of the polygonal cells and to the combinatorial topology between the ‘adjacent’ geometric elements of the tessellation. Three new parameters, e0,e1 and e2 summing to unity, are introduced. These capture the essence of non side-to-side tessellations and play a role in understanding the adjacency of sides and cells. Examples illustrate the theory.
Publisher
Slovenian Society for Stereology and Quantitative Image Analysis
Subject
Computer Vision and Pattern Recognition,Acoustics and Ultrasonics,Radiology Nuclear Medicine and imaging,Instrumentation,Materials Science (miscellaneous),General Mathematics,Signal Processing,Biotechnology
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Line segments which are unions of tessellation edges;Image Analysis & Stereology;2018-04-12
2. A random cell splitting scheme on the sphere;Stochastic Processes and their Applications;2017-05
3. COLUMN TESSELLATIONS;Image Analysis & Stereology;2015-06-28