17 citations · 93 across the 34 of their papers we have counts for
5 papers · 1 filter
Fractal Tiling
Michael Barnsley, Andrew Vince
A simple, yet unifying method is provided for the construction of tilings by tiles obtained from the attractor of an iterated function system (IFS). Many examples appearing in the…
Numerics and Fractals
Michael F. Barnsley, Markus Hegland, Peter Massopust
Local iterated function systems are an important generalisation of the standard (global) iterated function systems (IFSs). For a particular class of mappings, their fixed points ar…
Fractal Transformations in 2 and 3 Dimensions
Michael Barnsley, Brendan Harding
We present some work relating to fractal transformations on masked iterated function systems and demonstrate how well known algorithms for generating fractal transformations can be…
Basic Topological Structure of Fast Basins
Michael Fielding Barnsley, Krzysztof Lesniak
We define fractal continuations and the fast basin of the IFS and investigate which properties they inherit from the attractor. Some illustrated examples are provided.
Fast Basins and Branched Fractal Manifolds of Attractors of Iterated Function Systems
Michael F. Barnsley, Andrew Vince
The fast basin of an attractor of an iterated function system (IFS) is the set of points in the domain of the IFS whose orbits under the associated semigroup intersect the attracto…