In this paper, we study the dimension theory of a class of piecewise affine systems in euclidean spaces suggested by Barnsley, with some applications to the fractal image compression. It is a more general version of the class considered in the work of Keane, Simon and Solomyak  and can be considered as the continuation of the works [5, 6] by the authors. We also present some applications of our results for generalized Takagi functions and fractal interpolation functions.
|Number of pages||35|
|Journal||Annales Academiae Scientiarum Fennicae Mathematica|
|Publication status||Published - 2020|
- Hausdorff dimension
- Self-affine measures
- Self-affine sets
ASJC Scopus subject areas