Method for aligning any-order polynomial surfaces in three-dimensional space

dc.contributor.author	Alvertos, N	en
dc.date.accessioned	2014-06-06T06:45:05Z
dc.date.available	2014-06-06T06:45:05Z
dc.date.issued	2002	en
dc.identifier.issn	00913286	en
dc.identifier.uri	http://dx.doi.org/10.1117/1.1457457	en
dc.identifier.uri	http://62.217.125.90/xmlui/handle/123456789/2245
dc.subject	Machine vision	en
dc.subject	Polynomial surfaces	en
dc.subject	Three-dimensional object recognition	en
dc.subject.other	Approximation theory	en
dc.subject.other	Computer vision	en
dc.subject.other	Imaging systems	en
dc.subject.other	Robotics	en
dc.subject.other	Polynomial surfaces	en
dc.subject.other	Object recognition	en
dc.title	Method for aligning any-order polynomial surfaces in three-dimensional space	en
heal.type	journalArticle	en
heal.identifier.primary	10.1117/1.1457457	en
heal.publicationDate	2002	en
heal.abstract	A theoretically sound and computationally inexpensive method is proposed for expressing in a canonical form not only quadratic, but any-degree polynomial surfaces, thus enabling the alignment of 3-D objects composed of such surfaces to a standard coordinate system. Furthermore, an analytical proof of the lower upper bound for convergence is presented, by which the efficiency of the proposed method is verified. Experiments are conducted with up to sixth-degree polynomial surfaces, thus demonstrating the method converges to the desired results within a few steps. © 2002 Society of Photo-Optical Instrumentation Engineers.	en
heal.journalName	Optical Engineering	en
dc.identifier.issue	4	en
dc.identifier.volume	41	en
dc.identifier.doi	10.1117/1.1457457	en
dc.identifier.spage	886	en
dc.identifier.epage	898	en