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.