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A fractal valued random iteration algorithm and fractal hierachy

Barnsley, Michael; Hutchinson, John; Stenflo, Orjan

Description

We describe new families of random fractals, referred to as "V-variable", which are intermediate between the notions of deterministic and of standard random fractals. The parameter V describes the degree of "variability": at each magnification level any V-variable fractals has at most V key "forms" or "shapes". V-variable random fractals have the surprising property that they can be computed using a forward process. More precisely, a version of the usual Random Iteration Algorithm, operating on...[Show more]

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
URI: http://hdl.handle.net/1885/80014
Source: Fractals. Complex Geometry, Patterns and Scaling in Nature and Society
DOI: 10.1142/S0218348X05002799

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