Digital Planarity - A Review

Brimkov, Valentin; Coeurjolly, David

dc.contributor.author	Brimkov, Valentin	en
dc.contributor.author	Coeurjolly, David	en
dc.date.accessioned	2008-08-21T01:57:26Z	en
dc.date.available	2008-08-21T01:57:26Z	en
dc.date.issued	2004	en
dc.identifier.citation	Communication and Information Technology Research Technical Report 142, (2004)	en
dc.identifier.issn	1178-3603	en
dc.identifier.uri	http://hdl.handle.net/2292/2825	en
dc.description	You are granted permission for the non-commercial reproduction, distribution, display, and performance of this technical report in any format, BUT this permission is only for a period of 45 (forty-five) days from the most recent time that you verified that this technical report is still available from the original CITR web site; http://citr.auckland.ac.nz/techreports/ under terms that include this permission. All other rights are reserved by the author(s).	en
dc.description.abstract	Digital planarity is defined by digitizing Euclidean planes in the three-dimensional digital space of voxels; voxels are given either in the grid point or the grid cube model. The paper summarizes results (also including most of the proofs) about different aspects of digital planarity, such as self-similarity, supporting or separating Euclidean planes, characterizations in arithmetic geometry, periodicity, connectivity, and algorithmic solutions. The paper provides a uniform presentation, which further extends and details a recent book chapter in (Klette and Rosenfeld 2004). [This report has been updated in April 2006, at the end of the reviewing process of its journal publication. Results stated are still as in the original 2004 report, but the report was improved at several places due to reviewers comments.]	en
dc.publisher	CITR, The University of Auckland, New Zealand	en
dc.relation.ispartofseries	Communication and Information Technology Research (CITR) Technical Report Series	en
dc.rights	Copyright CITR, The University of Auckland. You are granted permission for the non-commercial reproduction, distribution, display, and performance of this technical report in any format, BUT this permission is only for a period of 45 (forty-five) days from the most recent time that you verified that this technical report is still available from the original CITR web site under terms that include this permission. All other rights are reserved by the author(s).	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.source.uri	http://citr.auckland.ac.nz/techreports/2004/CITR-TR-142.pdf	en
dc.title	Digital Planarity - A Review	en
dc.type	Technical Report	en
dc.subject.marsden	Fields of Research::280000 Information, Computing and Communication Sciences	en