A new method to analyse mosaics based on Symmetry Group theory applied to Islamic Geometric Patterns

F Albert, JM Gomis, J Blasco, JM Valiente… - Computer Vision and …, 2015 - Elsevier
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 …