TY - JOUR
T1 - How to transform and filter images using iterated function systems
AU - Barnsley, Michael F.
AU - Harding, Brendan
AU - Igudesman, Konstantin
PY - 2011
Y1 - 2011
N2 - We generalize the mathematics of fractal transformations and illustrate how it leads to a new approach to the representation and processing of digital images, and consequent novel methods for filtering, watermarking, and encryption. This work substantially generalizes earlier work on fractal tops. The approach involves fractal geometry, chaotic dynamics, and an interplay between discrete and continuous representations. The underlying mathematics is established and some applications to digital imaging are described and exemplified.
AB - We generalize the mathematics of fractal transformations and illustrate how it leads to a new approach to the representation and processing of digital images, and consequent novel methods for filtering, watermarking, and encryption. This work substantially generalizes earlier work on fractal tops. The approach involves fractal geometry, chaotic dynamics, and an interplay between discrete and continuous representations. The underlying mathematics is established and some applications to digital imaging are described and exemplified.
KW - Dynamical systems
KW - Fractal transformations
KW - Iterated function systems
UR - http://www.scopus.com/inward/record.url?scp=80955159911&partnerID=8YFLogxK
U2 - 10.1137/100815293
DO - 10.1137/100815293
M3 - Article
SN - 1936-4954
VL - 4
SP - 1001
EP - 1028
JO - SIAM Journal on Imaging Sciences
JF - SIAM Journal on Imaging Sciences
IS - 4
ER -