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Projection of Compact Fractal Sets: Application to Diffusion-limited and Cluster-cluster Aggregates : Volume 15, Issue 4 (26/08/2008)

By Maggi, F.

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Book Id: WPLBN0003985600
Format Type: PDF Article :
File Size: Pages 5
Reproduction Date: 2015

Title: Projection of Compact Fractal Sets: Application to Diffusion-limited and Cluster-cluster Aggregates : Volume 15, Issue 4 (26/08/2008)  
Author: Maggi, F.
Volume: Vol. 15, Issue 4
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Maggi, F. (2008). Projection of Compact Fractal Sets: Application to Diffusion-limited and Cluster-cluster Aggregates : Volume 15, Issue 4 (26/08/2008). Retrieved from

Description: Berkeley Water Center, Civil and Environmental Engineering, 413 O'Brien Hall, University of California, Berkeley, CA 94720-1710, USA. 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.

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

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