3 papers
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…
math.DS2004
Dynamics of infinite-multivalued transformations
Konstantin Igudesman
We consider a transformation of a normalized measure space such that the image of any point is a finite set. We call such transformation -transformation. In this case the orbit…
math.DS2001
Statistically self-similar fractal sets
Konstantin Igudesman
In the present paper we define statistically self-similar sets, and, using a modification of method described K.J.Falconer find a Hausdorff dimension of a statistically self-simila…