Estimating the spatial extent of attractors of iterated function systems

Abstract From any given Iterated Function System, a small set of balls that cover the fractal attractor can be simply determined. This gives a priori bounds on the region of space in which the attractor may be constructed.

[1]  M. Barnsley,et al.  Iterated function systems and the global construction of fractals , 1985, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[2]  M. Barnsley,et al.  Recurrent iterated function systems , 1989 .

[3]  Michael F. Barnsley,et al.  Fractals everywhere , 1988 .

[4]  M. Barnsley,et al.  Solution of an inverse problem for fractals and other sets. , 1986, Proceedings of the National Academy of Sciences of the United States of America.

[5]  Wm. Douglas Withers Newton’s Method for Fractal Approximation , 1989 .

[6]  H. Joel Jeffrey,et al.  Chaos game visualization of sequences , 1992, Comput. Graph..