Geometric rosette patterns analysis and generation

The geometric rosettes, which are the most known design elements of the Islamic rosette patterns, are usually tessellated in a concealed composition structure. To understand and reveal this structure, we propose first to detect and characterize its basic geometric rosettes by using techniques of computer vision and image analysis. Then, the analysis of the spatial arrangement of the detected rosettes, characterized by their respective orders, will reveal the underlying tiling and the mesh grid, together with the harmonious proportions of the design elements. These results are used in turn to generate new innovative and authentic rosette patterns, by using the extracted geometric rosettes and new tile motifs constructed in the basis of an adaptation of the well-known polygonal technique. The performances of the proposed method to reveal the spatial composition of a rosette pattern are tested by the ability to extract its geometric rosettes and by the exact extraction of its underlying composition structure. Finally, the innovative character of the proposed generative method is shown through the creation of new periodic and quasi-periodic patterns characterized by their authenticities and sophistication.