An aesthetic curve in the field of Industrial design

We present a quantitative analysis method of the characteristics of a curve, for finding what an aesthetic curve is. A number of designer drawn curves were analyzed by this method. As a result, we found that the designer controlled the curvature change with a self-affine property, when he produced a curve in design work. In other words, the designer sees a curve with a self-affine property as an aesthetic curve. On the basis of this fact, we developed five types of curves which have the self-affine property. Furthermore, we made 'drawing curves' from these curves as 'visual language'. These 'drawing-curves' can be used as a 'common language' between the designer, the modeler, and the operator of CAD systems for communicating the 'design intent'.