Reconstruction techniques in the image analysis of Islamic mosaics from the Alhambra

We present a methodology for tile image reconstruction. This methodology is integrated in a computer tool providing automatic image analysis. Both, the reconstruction and analysis methodologies are based on the application of the scientific theory of symmetry groups and are part of an integrated management system for pattern design in the tile industries. As image analysis advances, information is obtained concerning design structure that will allow us to restitute (recover missing motifs), unify (choose between different motifs that should be equal) and standardize (adjust motifs exactly to their symmetry axes and rotation centers). This methodology for tile image reconstruction has been tried with different Islamic mosaics from the Alhambra (Granada, Spain). Results based on these are given