33 citations · 103 across the 14 of their papers we have counts for
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math.DS2011★ 2 cited
Homeomorphisms generated from overlapping affine iterated function systems
Michael F. Barnsley, Brendan Harding, Andrew Vince
We develop the theory of fractal homeomorphisms generated from pairs of overlapping affine iterated function systems.
math.DS2011★ 11 cited
The Entropy of an Overlapping Dynamical System
Michael F. Barnsley, Brendan Harding, Andrew Vince
The term "overlapping" refers to a certain fairly simple type of piecewise continuous function from the unit interval to itself and also to a fairly simple type of iterated functio…
math.GT2011
How to Transform and Filter Images using Iterated Function Systems
Michael F. Barnsley, Brendan Harding, Konstantin Igudesman
We present a general theory of fractal transformations and show how it leads to a new type of method for filtering and transforming digital images. This work substantially generali…