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...
| Main Authors: | , , |
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| Format: | Report |
| Language: | unknown |
| Published: |
arXiv
2013
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| Subjects: | |
| Online Access: | https://dx.doi.org/10.48550/arxiv.1312.5649 https://arxiv.org/abs/1312.5649 |
| Summary: | 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 |
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