Gradually Varied Surfaces and Gradually Varied Functions

Chen, Li

dc.contributor.author	Chen, Li	en
dc.date.accessioned	2008-08-21T01:57:12Z	en
dc.date.available	2008-08-21T01:57:12Z	en
dc.date.issued	2005	en
dc.identifier.citation	Communication and Information Technology Research Technical Report 156, (2005)	en
dc.identifier.issn	1178-3589	en
dc.identifier.uri	http://hdl.handle.net/2292/2809	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	The gradually varied surface was introduced and studied in digital and discrete spaces by Chen. The basic idea of introducing gradually varied surfaces is to employ a purely discrete interpolation algorithm to fit a discrete surface when the desired surface is not required to be smooth. In this paper, we generalize the concept of gradually varied surfaces. A digital surface is defined as a mapping f from an n-dimensional digital manifold D into an m-dimensional grid space. A discrete surface is said to be gradually varied if the adjacency of two points p and q in D implies that f(p) and f(q) are adjacent in the m-dimensional grid space.	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/2005/CITR-TR-156.pdf	en
dc.title	Gradually Varied Surfaces and Gradually Varied Functions	en
dc.type	Technical Report	en
dc.subject.marsden	Fields of Research::280000 Information, Computing and Communication Sciences	en