Angle Counts for Isothetic Polygons and Polyhedra

Yip, Ben; Klette, Reinhard

dc.contributor.author	Yip, Ben	en
dc.contributor.author	Klette, Reinhard	en
dc.date.accessioned	2008-08-21T01:55:37Z	en
dc.date.available	2008-08-21T01:55:37Z	en
dc.date.issued	2001	en
dc.identifier.citation	Communication and Information Technology Research Technical Report 92, (2001)	en
dc.identifier.issn	1178-3653	en
dc.identifier.uri	http://hdl.handle.net/2292/2691	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	In the case of isothetic simple polyhedra there are only six different types of 3D angles. This article states and proofs a formula about counts of these angles. This complements formulas in combinatorial topology such as Euler's polyhedron formula, or the previously known formula on angle counts for isothetic polygons. The latter formula and the shown equality for angle counts of isothetic simple polyhedra are useful formulas for analyzing isothetic boundaries in 2D digital images (e.g. classification into inner (boundary of a hole) or outer boundaries, see [5]) and isothetic surfaces in 3D digital images (e.g. necessary condition for a complete surface scan).	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/2001/CITR-TR-92.pdf	en
dc.title	Angle Counts for Isothetic Polygons and Polyhedra	en
dc.type	Technical Report	en
dc.subject.marsden	Fields of Research::280000 Information, Computing and Communication Sciences	en