Multifractal f(a) Curve

[quark80]

Has anybody ever come across a dataset which does the following?

I use the continuous multifractal (method of moments) technique to derive for a range of q
\tau , \alpha , f(\alpha )

However I find that f(\alpha ) = \alpha for every value q being examined. Therefore there is strictly no hyperbola for the f(a) curve and the data is therefore can't be multifractal. Right?

Thanks in advance :smile:

[quark80]

Never mind.

Found a paper which discusses the issue in relation to Cantor sets :)

Apparently it just means that it's mono-fractal and not multifractal. Which is what I thought, this paper just confirmed it.

Mods feel free to delete post if necessary.

[hamzadely]

Hi all,

I am preparing a thesis at the multifractal and fractal analysis of radar images, to automatically set and remove clutter. I came to develop programs telque boxcountig function and of codimension years .. but I stopped confused when is about to determine the double trace moment ..any idea or just signs from you make me be grateful.

Thanks in advance