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´