Quantification of Order in 2D Shapes

Abstract

Recently, designing by computer, such as Generative design, has become common and gained attention. One of the most difficult things for the computer is to evaluate the developed design like a human. This study is a preliminary stage to construct the quantitative index to objectively evaluate “beauty” and “preference” of the 2D/3D shape and aims to construct an index of the “order”, which is an important factor to evaluate “beauty” and “preference” of the 2D shape. This study focuses on the curvature of the shapes and proposes the index of “order” using the curvature function and their autocorrelation function. To confirm the effectiveness of the proposed index, we conducted the experiment using the 90 shapes used in Burkhof’s study and confirmed the correlation between the sensory evaluation value and proposed index (the coefficient of determination exceeds 0.70). Additionally, we developed the proposed index of “oreder” into that of “beauty” by adding the index of “complexity” on the basis of the Burkhof and Eyzenck equations and conducted the additional experiment. As a result, the coefficient of determination was slightly decreased but exceeded 0.50, and the correlation between the developed index and sensory evaluation value was confirmed.

Presenters

Takeo Kato
Assistant Professor, Mechanical Engineering, Keio University

Details

Presentation Type

Poster/Exhibit Session

Theme

Design Management and Professional Practice

KEYWORDS

ORDER, CURVATURE, AESTHETICS

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