Have a look at Alexis Brandeker's pages (specifically his MSc thesis), among many on the Internet with sources for generating multidimensional fBm (power law) distributions, including multifractals.
The link is http://www.astro.su.se/~alexis/. You may want to write him for the C code. The 1D fBm (and fGn) time series are just generalisations of n-dimensional fractal distributions. Annealing is fine as well. Cheers Syed On Monday, June 13, 2005, at 12:17PM, Peter Bossew <[EMAIL PROTECTED]> wrote: >Hi list, > >I need to generate a field f(x,y) with given variogram. More precisely, I >have N points (x,y) and I want to assign f(x,y) such that the variable f >has a spatial autocorrelation structure according to a given variogram >model. > >My impression is that the way to do it is simulated annealing, as >described in chapter 11 of the GSLIB manual. Is that correct ? Any other >methods ? Is there any easy-to-use & free software for this purpose ? Any >recommended literature ? > >For time series (1-dim case with regular grid) there is the possibilty of >random walk, or more generally Levy flights to produce autocorrelated >series, or alternatively, define a Fourier spectrum with given slope of >the continous log-log power spectrum and inverse transform. Is there an >analoguos technique for the 2- (or n-) dim. case ? > >A possibly related question: How to produce a field with given (geometric >or stochastic) multifractal structure ? > > >Thanks for any hint >Peter > > >================================================================= >Dr. Peter Bossew >Department of Physics and Biophysics, University of Salzburg, Austria > >[EMAIL PROTECTED] >[EMAIL PROTECTED] > > > >* By using the ai-geostats mailing list you agree to follow its rules >( see http://www.ai-geostats.org/help_ai-geostats.htm ) > >* To unsubscribe to ai-geostats, send the following in the subject or in the >body (plain text format) of an email message to [EMAIL PROTECTED] > >Signoff ai-geostats >
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