On the mathematical formulation of the problem of reassembling fragmented objects: Two new theorems

Arabadjis, D; Papaodysseus, C; Rousopoulos, P; Panagopoulos, M

dc.contributor.author	Arabadjis, D	en
dc.contributor.author	Papaodysseus, C	en
dc.contributor.author	Rousopoulos, P	en
dc.contributor.author	Panagopoulos, M	en
dc.date.accessioned	2014-03-01T01:34:01Z
dc.date.available	2014-03-01T01:34:01Z
dc.date.issued	2010	en
dc.identifier.issn	15985865	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20651
dc.subject	3D-matching	en
dc.subject	Curves and surfaces	en
dc.subject	Euler-Lagrange equations	en
dc.subject	Inequalities	en
dc.subject	Volume and angular bounds	en
dc.subject.other	3D-matching	en
dc.subject.other	Curves and surfaces	en
dc.subject.other	Euler-Lagrange equations	en
dc.subject.other	Inequalities	en
dc.subject.other	Volume and angular bounds	en
dc.subject.other	Differential equations	en
dc.subject.other	Lagrange multipliers	en
dc.subject.other	Solar cell arrays	en
dc.subject.other	Three dimensional	en
dc.subject.other	Euler equations	en
dc.title	On the mathematical formulation of the problem of reassembling fragmented objects: Two new theorems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s12190-009-0308-8	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s12190-009-0308-8	en
heal.publicationDate	2010	en
heal.abstract	In this paper two new theorems are proved in association with the problem of matching three dimensional solid bodies. Rigorous mathematical criteria are given in order to test if two such bodies actually match in a certain position. Since this problem finds important application to the actual problem of reassembling fragmented objects e.g. archaeological, special care is taken to account for small gaps between matching fragments and fuzziness of the matching parameters. © 2009 Korean Society for Computational and Applied Mathematics.	en
heal.journalName	Journal of Applied Mathematics and Computing	en
dc.identifier.doi	10.1007/s12190-009-0308-8	en
dc.identifier.volume	34	en
dc.identifier.issue	1-2	en
dc.identifier.spage	81	en
dc.identifier.epage	100	en