Mathematical Formulation of Macroscopic Feature for Digital Style Design

In style design, a mathematical formulation of a macroscopic feature, which emerges from the sum of the shape elements, is important. However, mathematically formulating a macroscopic feature is difficult using conventional microscopic shape information such as dimension and curvature. Because the evaluation of a macroscopic feature depends on the experience of the designer, constructing a mathematical model to formulate the macroscopic feature is highly desired. Herein, we examined the mathematical formulation of the macroscopic feature “complexity”, which affects the evaluation of important aspects in styling, such as “beauty” and “similarity.” We report the guideline with regard to circumstance and cognition experiments to mathematically formulate the macroscopic feature “complexity.”