Digital hyperplane recognition in arbitrary fixed dimension

Brimkov, Valentin; Dantchev, Stefan

dc.contributor.author	Brimkov, Valentin	en
dc.contributor.author	Dantchev, Stefan	en
dc.date.accessioned	2008-08-21T01:57:13Z	en
dc.date.available	2008-08-21T01:57:13Z	en
dc.date.issued	2004	en
dc.identifier.citation	Communication and Information Technology Research Technical Report 154, (2004)	en
dc.identifier.issn	1178-3591	en
dc.identifier.uri	http://hdl.handle.net/2292/2811	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 the following problem. Given a set of points M = {p1, p2, . . . , pm} ? Rn, decide whether M is a portion of a digital hyperplane and, if so, determine its analytical formulation. In our setting p1, p2, . . . , pm may be arbitrary points (possibly, with rational and/or irrational coefficients) and the dimension n may be any arbitrary fixed integer. We provide an algorithm that solves the problem with O(mlogD) arithmetic operations, where D is a bound on the value of the digital plane coefficients. The solution is based on reducing the digital hyperplane recognition problem to an integer linear programming problem of fixed dimension within an algebraic model of computation.	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-154.pdf	en
dc.title	Digital hyperplane recognition in arbitrary fixed dimension	en
dc.type	Technical Report	en
dc.subject.marsden	Fields of Research::280000 Information, Computing and Communication Sciences	en