Fractal dimension
mykbourassa at home.com
mykbourassa at home.com
Fri Sep 29 05:06:01 CEST 2000
You're right, I should state the question more clearly. So:
a) I have data sets representing distributions of points in 2 and 3 D space.
They are not necessarily part of a curve or time series.
b) I want to find the fractal (Hausdorf) dimension of the data after it has been
mapped to a unit cube.
c) I'm familiar with the algorithms for calculating the fractal dimension. I'm
just wondering if a competent programmer (i.e. not me :-) has done it in
Python. A routine in Matlab would also be good but I have a query out in that
news group.
Thanks for the tip to Fractint. Unfortunately, it seems to be oriented towards
generating fractals which isn't quite what I'm looking for. Cheers.
myk
Phlip wrote:
> <mykbourassa at home.com> wrote in message news:39D3DC5C.211C18B1 at home.com...
> > Hello. Has anyone got a fast routine for calculating the fractal
> > dimension of a set of points in 2 or 3D space? Thanks.
>
> Appears to me that...
>
> A> ...this is a math problem, not a Python problem, and it belongs in a
> math or algorithm groups
>
> B> ...the only alternative to counting an infinite number of points is
> to examine your generator function and its coefficients to determine their
> limit. One might consider then deriving a limit function that takes the same
> coefficients as the generator function. But this implies no newsgroup can
> answer your question without hearing what your generator function is.
> E-search the works of one "Michael Barnsley" for lots of fractal fun.
>
> --
> Phlip
> ======= http://users.deltanet.com/~tegan/home.html =======
> -- Papá was a Rolling Stone... --
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