Symmetry analysis from human perspective

Çengel, Furkan
Ornaments are repetitive patterns. They are created by repeating a base unit using four primitive geometric operations: translation, reflection, glide reflection and rotation. Using combinations of these primitive operations one can fill the plane in 17 different ways, which are known as 17 Wallpaper groups. In recent studies, an automated method is presented which can detect the symmetry group of given ornament. While automated methods aim to capture theoretical representation of the symmetry, they lack the ability to understand how the symmetries are perceived by human. In this study we focused on understanding human perception of symmetry and symmetry groups. We used an ornament that is challenging to classify for stimulating human perception and conducted an experiment to understand which symmetries people see in it and which wallpaper groups they tend to match the ornament. The results show that current groupings are not adequate to fully cover symmetry.
Citation Formats
F. Çengel, “Symmetry analysis from human perspective,” Thesis (M.S.) -- Graduate School of Natural and Applied Sciences. Computer Engineering., 2019.