projection of compact fractal sets: application to diffusion-limited and cluster-cluster aggregates

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ID: 223154
2008
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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.
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maggi2008nonlinearprojection Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors F. Maggi
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Journal BMC research notes
Year 2008
DOI
DOI not found
URL
http://www.nonlin-processes-geophys.net/15/695/2008/npg-15-695-2008.pdf
Keywords
cosmic physics sciencephysicsgeophysics

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