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Projection of compact fractal sets: application to diffusion-limited and cluster-cluster aggregates
Berkeley Water Center, Civil and Environmental Engineering, 413 O'Brien Hall, University of California, Berkeley, CA 94720-1710, USA
Abstract. The need to assess the three-dimensional fractal dimension of fractal aggregates from the fractal dimension of two-dimensional projections is very frequent in geophysics, soil, and atmospheric sciences. However, a generally valid approach to relate the two- and three-dimensional fractal dimensions is missing, thus questioning the accuracy of the method used until now in practical applications. A mathematical approach developed for application to suspended aggregates made of cohesive sediment is investigated and applied here more generally to Diffusion-Limited Aggregates (DLA) and Cluster-Cluster Aggregates (CCA), showing higher accuracy in determining the three-dimensional fractal dimension compared to the method currently used.
Full Article (PDF, 687 KB)
Citation: Maggi, F.: Projection of compact fractal sets: application to diffusion-limited and cluster-cluster aggregates, Nonlin. Processes Geophys., 15, 695-699, 2008. Bibtex EndNote Reference Manager
