Projection of compact fractal sets: application to diffusion-limited and cluster-cluster aggregates
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 i...
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2008-08-01
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| Series: | Nonlinear Processes in Geophysics |
| Online Access: | http://www.nonlin-processes-geophys.net/15/695/2008/npg-15-695-2008.pdf |
| _version_ | 1811252770356854784 |
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| author | F. Maggi |
| author_facet | F. Maggi |
| author_sort | F. Maggi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T16:39:36Z |
| format | Article |
| id | doaj.art-97c04f71384e406d83b82d47acfb10b5 |
| institution | Directory Open Access Journal |
| issn | 1023-5809 1607-7946 |
| language | English |
| last_indexed | 2024-04-12T16:39:36Z |
| publishDate | 2008-08-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Nonlinear Processes in Geophysics |
| spelling | doaj.art-97c04f71384e406d83b82d47acfb10b52022-12-22T03:24:51ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462008-08-01154695699Projection of compact fractal sets: application to diffusion-limited and cluster-cluster aggregatesF. MaggiThe 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.http://www.nonlin-processes-geophys.net/15/695/2008/npg-15-695-2008.pdf |
| spellingShingle | F. Maggi Projection of compact fractal sets: application to diffusion-limited and cluster-cluster aggregates Nonlinear Processes in Geophysics |
| title | Projection of compact fractal sets: application to diffusion-limited and cluster-cluster aggregates |
| title_full | Projection of compact fractal sets: application to diffusion-limited and cluster-cluster aggregates |
| title_fullStr | Projection of compact fractal sets: application to diffusion-limited and cluster-cluster aggregates |
| title_full_unstemmed | Projection of compact fractal sets: application to diffusion-limited and cluster-cluster aggregates |
| title_short | Projection of compact fractal sets: application to diffusion-limited and cluster-cluster aggregates |
| title_sort | projection of compact fractal sets application to diffusion limited and cluster cluster aggregates |
| url | http://www.nonlin-processes-geophys.net/15/695/2008/npg-15-695-2008.pdf |
| work_keys_str_mv | AT fmaggi projectionofcompactfractalsetsapplicationtodiffusionlimitedandclusterclusteraggregates |