Hausdorff Dimension of Fractals Generated from Step-wise Adjustable Iterated Function Systems
نویسندگان
چکیده
Iterated function systems have been powerful tools to generate fractals. However, the requirement of using the same maps at every iteration results in a fractal that may be too self-similar for certain applications. We present a construction in which the maps are allowed to be updated at each iteration in order to generate more general fractals without changing the computational complexity. We then provide bounds for the Hausdorff dimension of the fractals created from this generalized process.
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