Abstract
The curve is the most basic design element to determine shapes and silhouettes of industrial products and works for shape designers. If we can find equations of the aesthetic curves, it is expected that the quality of the curve design improves drastically because we can use them as standards to generate, evaluate, and deform the curves. The authors have proposed the general equations of aesthetic curves as such a standard. We show the essential improtance of the self-affinity and extend the aesthetic plane curve into 3-dimensional space.
