Digital Curves in 3D Space and a Linear-Time Length Estimation Algorithm

Bülow, Thomas; Klette, Reinhard

dc.contributor.author	Bülow, Thomas	en
dc.contributor.author	Klette, Reinhard	en
dc.date.accessioned	2008-08-21T01:56:08Z	en
dc.date.available	2008-08-21T01:56:08Z	en
dc.date.issued	1999	en
dc.identifier.citation	Communication and Information Technology Research Technical Report 55, (1999)	en
dc.identifier.issn	1178-3690	en
dc.identifier.uri	http://hdl.handle.net/2292/2727	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	We consider simple digital curves in a 3D orthogonal grid as special polyhedrally bounded sets. These digital curves model digitized curves or arcs in three-dimensional euclidian space. The length of such a simple digital curve is defined to be the length of the minimum-length polygonal curve fully contained and complete in the tube of this digital curve. So far no algorithm was known for the calculation of such a shortest polygonal curve. This paper provides an iterative algorithmic solution, including a presentation of its foundations and of experimental results.	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/1999/CITR-TR-55.pdf	en
dc.title	Digital Curves in 3D Space and a Linear-Time Length Estimation Algorithm	en
dc.type	Technical Report	en
dc.subject.marsden	Fields of Research::280000 Information, Computing and Communication Sciences	en