RT article
T1 A new method to analyse mosaics based on Symmetry Group theory applied to Islamic Geometric Patterns
A1 Albert, Francisco
A1 Gomis, J. M.
A1 Blasco, José
A1 Valiente, José Miguel
A1 Aleixos, Nuria
AB This article presents a new method for analysing mosaics based on the mathematical principles of Symmetry Groups. This method has been developed to get the understanding present in patterns by extracting the objects that form them, their lattice, and the Wallpaper Group. The main novelty of this method resides in the creation of a higher level of knowledge based on objects, which makes it possible to classify the objects, to extract their main features (Point Group, principal axes, etc.), and the relationships between them. In order to validate the method, several tests were carried out on a set of Islamic Geometric Patterns from different sources, for which the Wallpaper Group has been successfully obtained in 85% of the cases. This method can be applied to any kind of pattern that presents a Wallpaper Group. Possible applications of this computational method include pattern classification, cataloguing of ceramic coatings, creating databases of decorative patterns, creating pattern designs, pattern comparison between different cultures, tile cataloguing, and so on.
SN 1077-3142
YR 2015
FD 2015
LK http://hdl.handle.net/20.500.11939/5243
UL http://hdl.handle.net/20.500.11939/5243
LA en
NO Albert, F., Gomis, J.M., Blasco, J., Valiente, J.M., Aleixos, N. (2015). A new method to analyse mosaics based on Symmetry Group theory applied to Islamic Geometric Patterns. Computer Vision and Image Understanding, 130, 54-70.
DS MINDS@UW
RD Aug 18, 2022