论文信息 - An aesthetic curve in the field of Industrial design

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'.

[1] S. A. Coons. Modification of the shape of piecewise curves , 1977 .

[2] Rida T. Farouki,et al. Pythagorean-hodograph quintic transition curves of monotone curvature , 1997, Comput. Aided Des..

[3] Nicholas S. Sapidis. Designing Fair Curves and Surfaces: Shape Quality in Geometric Modeling and Computer-Aided Design , 1994, Designing Fair Curves and Surfaces.

[4] James Ferguson,et al. Multivariable Curve Interpolation , 1964, JACM.

[5] P. Bézier. Numerical control : mathematics and applications , 1972 .

[6] T. K. Pal,et al. Two-dimensional curve synthesis using linear curvature elements , 1977 .

[7] Mamoru Hosaka,et al. Generation of Smooth Surfaces by Controlling Curvature Variation , 1996, Comput. Graph. Forum.

[8] Elaine Cohen,et al. Computer Aided Geometric Design. , 1987 .

[9] Gyorgy Kepes,et al. Language of Vision , 1944 .