Statistics
Springer Nature - SN SciGraph project
http://link.springer.com/10.1007/BF00874489
1989-03
The scale invariant properties of fractal sets make them attractive models for topographic profiles because those profiles are the end product of a complex system of physical processes operating over many spatial scales. If topographic data sets are fractal, their power spectra will be well represented by lines in log-log space with slopess such that −3≤s<−1. The power spectra from a Digital Elevation Model (30 meter sample spacing) of the Sierra Nevada Batholith and from Seabeam center beam depths (425 meter sample spacing) along a flowline in the South Atlantic are curved. Straight sections in the spectra can be identified but the slopes of those sections are strongly dependent upon the particulars of the data analysis. Fractal geometry must be used with caution in the discussion of topographic data sets.
241-254
Are topographic data sets fractal?
https://scigraph.springernature.com/explorer/license/
articles
false
research_article
2019-04-11T13:31
1989-03-01
en
doi
10.1007/bf00874489
Lewis E.
Gilbert
Mathematical Sciences
131
pub.1007226663
dimensions_id
readcube_id
226c283af59390f4757af7f3e59b49532ea6972a1c6bf08837ce57fc98416e10
Columbia University
Lamont-Doherty Geological Observatory, and Department of Geological Sciences, Columbia University, Palisades, NY, USA
Pure and Applied Geophysics
0033-4553
1420-9136
1-2