Efficient solution to the 3D problem of automatic wall paintings reassembly

Papaodysseus, C; Arabadjis, D; Exarhos, M; Rousopoulos, P; Zannos, S; Panagopoulos, M; Papazoglou-Manioudaki, L

dc.contributor.author	Papaodysseus, C	en
dc.contributor.author	Arabadjis, D	en
dc.contributor.author	Exarhos, M	en
dc.contributor.author	Rousopoulos, P	en
dc.contributor.author	Zannos, S	en
dc.contributor.author	Panagopoulos, M	en
dc.contributor.author	Papazoglou-Manioudaki, L	en
dc.date.accessioned	2014-03-01T11:46:54Z
dc.date.available	2014-03-01T11:46:54Z
dc.date.issued	2012	en
dc.identifier.issn	08981221	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/38035
dc.subject	3D pattern analysis	en
dc.subject	Calculus of variations	en
dc.subject	Fragmented objects reassembly	en
dc.subject	Geometry	en
dc.subject	Pattern matching	en
dc.subject	Wall paintings reconstruction	en
dc.title	Efficient solution to the 3D problem of automatic wall paintings reassembly	en
heal.type	other	en
heal.identifier.primary	10.1016/j.camwa.2012.08.003	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.camwa.2012.08.003	en
heal.publicationDate	2012	en
heal.abstract	This paper introduces a new approach for the automated reconstruction- reassembly of fragmented objects having one surface near to plane, on the basis of the 3D representation of their constituent fragments. The whole process starts by 3D scanning of the available fragments. The obtained representations are properly processed so that they can be tested for possible matches. Next, four novel criteria are introduced, that lead to the determination of pairs of matching fragments. These criteria have been chosen so as the whole process imitates the instinctive reassembling method dedicated scholars apply. The first criterion exploits the volume of the gap between two properly placed fragments. The second one considers the fragments' overlapping in each possible matching position. Criteria 3,4 employ principles from calculus of variations to obtain bounds for the area and the mean curvature of the contact surfaces and the length of contact curves, which must hold if the two fragments match. The method has been applied, with great success, both in the reconstruction of objects artificially broken by the authors and, most importantly, in the virtual reassembling of parts of wall paintings belonging to the Mycenaic civilization (c.1300 BC.), excavated in a highly fragmented condition in Tyrins, Greece. © 2012 Elsevier Ltd. All rights reserved.	en
heal.journalName	Computers and Mathematics with Applications	en
dc.identifier.doi	10.1016/j.camwa.2012.08.003	en