Identification of geometrical shapes in paintings and its application to demonstrate the foundations of geometry in 1650 B.C

Papaodysseus, C; Exarhos, M; Panagopoulos, T; Triantafillou, C; Roussopoulos, G; Pantazi, A; Loumos, V; Fragoulis, D; Doumas, C

dc.contributor.author	Papaodysseus, C	en
dc.contributor.author	Exarhos, M	en
dc.contributor.author	Panagopoulos, T	en
dc.contributor.author	Triantafillou, C	en
dc.contributor.author	Roussopoulos, G	en
dc.contributor.author	Pantazi, A	en
dc.contributor.author	Loumos, V	en
dc.contributor.author	Fragoulis, D	en
dc.contributor.author	Doumas, C	en
dc.date.accessioned	2014-03-01T01:22:29Z
dc.date.available	2014-03-01T01:22:29Z
dc.date.issued	2005	en
dc.identifier.issn	1057-7149	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16588
dc.subject	Foundation of geometry via image processing	en
dc.subject	Image processing on paintings	en
dc.subject	Image shape analysis	en
dc.subject	Prehistoric geometry via pattern extraction	en
dc.subject.classification	Computer Science, Artificial Intelligence	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	algorithm	en
dc.subject.other	archeology	en
dc.subject.other	article	en
dc.subject.other	artificial intelligence	en
dc.subject.other	automated pattern recognition	en
dc.subject.other	computer assisted diagnosis	en
dc.subject.other	evaluation	en
dc.subject.other	Greece	en
dc.subject.other	image enhancement	en
dc.subject.other	information retrieval	en
dc.subject.other	methodology	en
dc.subject.other	painting	en
dc.subject.other	Algorithms	en
dc.subject.other	Archaeology	en
dc.subject.other	Artificial Intelligence	en
dc.subject.other	Greece	en
dc.subject.other	Image Enhancement	en
dc.subject.other	Image Interpretation, Computer-Assisted	en
dc.subject.other	Information Storage and Retrieval	en
dc.subject.other	Paintings	en
dc.subject.other	Pattern Recognition, Automated	en
dc.subject.other	Drawing (graphics)	en
dc.subject.other	Feature extraction	en
dc.subject.other	Fuzzy sets	en
dc.subject.other	Geometry	en
dc.subject.other	Pattern recognition	en
dc.subject.other	Statistical methods	en
dc.subject.other	Foundations of geometry	en
dc.subject.other	Image shape analysis	en
dc.subject.other	Prehistoric geometry	en
dc.subject.other	Wall paintings	en
dc.subject.other	Image analysis	en
dc.title	Identification of geometrical shapes in paintings and its application to demonstrate the foundations of geometry in 1650 B.C	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/TIP.2005.849297	en
heal.identifier.secondary	http://dx.doi.org/10.1109/TIP.2005.849297	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	In this paper, an original general methodology is introduced to establish whether a handmade shape corresponds to a given geometrical prototype. Using this methodology, one can decide if an artist had the intention of drawing a specific mathematical prototype or not. This analysis is applied to the 1650 B.C. wall paintings from the prehistoric settlement on Thera, and inferences of great archaeological and historical importance are made. In particular, strong evidence is obtained suggesting that the spirals depicted on the wall paintings correspond to linear (Archimedes) spirals, certain shapes correspond to canonical 48-gon and 32-gon, while other shapes correspond to parts of ellipses. It seems that the presented wall paintings constitute the earliest archaeological findings on which these/geometrical patterns appear with such remarkable accuracy. © 2005 IEEE.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Transactions on Image Processing	en
dc.identifier.doi	10.1109/TIP.2005.849297	en
dc.identifier.isi	ISI:000229765800002	en
dc.identifier.volume	14	en
dc.identifier.issue	7	en
dc.identifier.spage	862	en
dc.identifier.epage	873	en