🚀 go-pugleaf

sassoj@rs6416.ecs.rpi.edu (John J. Sasso Jr.) writes:


>    Given a chaotic time series with a fractal dimension, does anyone know of
>    any theory or whatever which relates splines to the interpolation of the
>    chaotic time series corresponding to the given fractal dimension?  
>    ........

>     If anyone can give me any guidance at all on this problem, I would greatly
>     appreciate it.  Also, any reference to literature that may help me would
>     be nice.

I cannot help you directly but have a look at the following paper:
R. Szeliski and D. Terzopoulos, "From Splines to Fractals", Proceedings of
SIGGRAPH'89.

It relates the energy of a (physical) spline to fractal statistics via a
Gibbs distribution (p(x) = exp(-E(x)/T)).

good luck,
Jos