COMPUTATIONAL FRACTAL GEOMETRY WITH WFA

Authors
CULIK K KARI J
Citation
K. Culik et J. Kari, COMPUTATIONAL FRACTAL GEOMETRY WITH WFA, Acta informatica, 34(2), 1997, pp. 151-166
Citations number
13
Categorie Soggetti
Information Science & Library Science","Computer Science Information Systems
Journal title
Acta informatica → ACNP
ISSN journal
00015903
Volume
34
Issue
2
Year of publication
1997
Pages
151 - 166
Database
ISI
SICI code
0001-5903(1997)34:2<151:CFGWW>2.0.ZU;2-A
Abstract
We define two measures of ''fractalness'' of gray-tone images: the deg ree of self-similarity and the gray-tone fractal dimension as a genera lization of Minkovski dimension of compact sets. We show how to comput e both these measures from the WFA-representation of a gray-tone image . Since we have developed a WFA-inference algorithm which computes a g ood approximation of any gray-tone image we can compute a close approx imation of both our measures of fractalness for any gray-tone image.