フラクタル画像の生成方法

抄録

This paper describes how simple mathematical expressions can be used to generate artificial fractal images. These mathematical expressions are iterated functions which require little information and are resolution independent expressions. The amount of information that such iterated functions require is less than 100 bytes although they can represent complicated artificial fractal images ; for example only four complex numbers are required in the Hata and Hutchinson fractal generation method. We extended the Hata and Hutchinson fractal generation method and Mandelbrot and julia fractal generation methods and derived some extended mathematical expressions for new fractal images.