Wavelet-based cascade model for intermittent structure in terrestrial environments
A wavelet-like model for distributions of objects in natural and man-made terrestrial environments is developed. The model is constructed in a self-similar fashion, with the sizes, amplitudes, and numbers of objects occurring at a constant ratios between parent and offspring objects. The objects are...
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ftdatacite:10.48550/arxiv.1312.5649 2023-05-15T15:06:42+02:00 Wavelet-based cascade model for intermittent structure in terrestrial environments Wilson, D. Keith Pettit, Chris L. Vecherin, Sergey N. 2013 https://dx.doi.org/10.48550/arxiv.1312.5649 https://arxiv.org/abs/1312.5649 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Data Analysis, Statistics and Probability physics.data-an Atmospheric and Oceanic Physics physics.ao-ph Geophysics physics.geo-ph FOS Physical sciences Preprint Article article CreativeWork 2013 ftdatacite https://doi.org/10.48550/arxiv.1312.5649 2022-04-01T13:01:31Z A wavelet-like model for distributions of objects in natural and man-made terrestrial environments is developed. The model is constructed in a self-similar fashion, with the sizes, amplitudes, and numbers of objects occurring at a constant ratios between parent and offspring objects. The objects are randomly distributed in space according to a Poisson process. Fractal supports and a cascade model are used to organize objects intermittently in space. In its basic form, the model is for continuously varying random fields, although a level-cut is introduced to model two-phase random media. The report begins with a description of relevant concepts from fractal theory, and then progresses through static (time-invariant), steady-state, and non-steady models. The results can be applied to such diverse phenomena as turbulence, geologic distributions, urban buildings, vegetation, and arctic ice floes. The model can be used as a basis for synthesizing realistic terrestrial scenes, and for predicting the performance of sensing and communication systems in operating environments with complex, intermittent distributions of scattering objects. : 58 pages, 39 figures Report Arctic DataCite Metadata Store (German National Library of Science and Technology) Arctic |
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topic |
Data Analysis, Statistics and Probability physics.data-an Atmospheric and Oceanic Physics physics.ao-ph Geophysics physics.geo-ph FOS Physical sciences |
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Data Analysis, Statistics and Probability physics.data-an Atmospheric and Oceanic Physics physics.ao-ph Geophysics physics.geo-ph FOS Physical sciences Wilson, D. Keith Pettit, Chris L. Vecherin, Sergey N. Wavelet-based cascade model for intermittent structure in terrestrial environments |
topic_facet |
Data Analysis, Statistics and Probability physics.data-an Atmospheric and Oceanic Physics physics.ao-ph Geophysics physics.geo-ph FOS Physical sciences |
description |
A wavelet-like model for distributions of objects in natural and man-made terrestrial environments is developed. The model is constructed in a self-similar fashion, with the sizes, amplitudes, and numbers of objects occurring at a constant ratios between parent and offspring objects. The objects are randomly distributed in space according to a Poisson process. Fractal supports and a cascade model are used to organize objects intermittently in space. In its basic form, the model is for continuously varying random fields, although a level-cut is introduced to model two-phase random media. The report begins with a description of relevant concepts from fractal theory, and then progresses through static (time-invariant), steady-state, and non-steady models. The results can be applied to such diverse phenomena as turbulence, geologic distributions, urban buildings, vegetation, and arctic ice floes. The model can be used as a basis for synthesizing realistic terrestrial scenes, and for predicting the performance of sensing and communication systems in operating environments with complex, intermittent distributions of scattering objects. : 58 pages, 39 figures |
format |
Report |
author |
Wilson, D. Keith Pettit, Chris L. Vecherin, Sergey N. |
author_facet |
Wilson, D. Keith Pettit, Chris L. Vecherin, Sergey N. |
author_sort |
Wilson, D. Keith |
title |
Wavelet-based cascade model for intermittent structure in terrestrial environments |
title_short |
Wavelet-based cascade model for intermittent structure in terrestrial environments |
title_full |
Wavelet-based cascade model for intermittent structure in terrestrial environments |
title_fullStr |
Wavelet-based cascade model for intermittent structure in terrestrial environments |
title_full_unstemmed |
Wavelet-based cascade model for intermittent structure in terrestrial environments |
title_sort |
wavelet-based cascade model for intermittent structure in terrestrial environments |
publisher |
arXiv |
publishDate |
2013 |
url |
https://dx.doi.org/10.48550/arxiv.1312.5649 https://arxiv.org/abs/1312.5649 |
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Arctic |
geographic_facet |
Arctic |
genre |
Arctic |
genre_facet |
Arctic |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1312.5649 |
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1766338263130308608 |