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V-variable fractals and superfractals

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arxiv math/0312314 v1 pith:MWXSBNYX submitted 2003-12-16 math.PR math.DS

Michael Barnsley , John E. Hutchinson , Örjan Stenflo This is my paper · ORCID
classification math.PRmath.DS
keywords fractalsrandomapplicationsdeterministicmanysuperfractalsv-variableacross
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Deterministic and random fractals, within the framework of Iterated Function Systems, have been used to model and study a wide range of phenomena across many areas of science and technology. However, for many applications deterministic fractals are locally too similar near distinct points while standard random fractals have too little local correlation. Random fractals are also slow and difficult to compute. These two major problems restricting further applications are solved here by the introduction of V-variable fractals and superfractals.

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Cited by 1 Pith paper

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    Proposes Quibble, a metaprogramming framework for composing function systems on the GPU to enable general-purpose non-fractal visualizations, simulations, and animations with claimed advantages in performance, topolog...

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