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A new fractal relationship for measuring surface roughness to be used in physical models of radar backscattering
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Mohammad Maleki *   |
| Razi University |
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Abstract: (1017 Views) |
The sensitivity of the microwave waves to the physical and geometrical parameters of the soil has caused the radar remote sensing to have a wide range of applications in various fields. In agricultural and environmental issues, the soil parameters, including its moisture and roughness, have been among the most important issues to the experts, the first of which is related to its physical characteristic and the second one is related to geometrical characteristic. The roughness parameter plays an important role in the soil erosion. And in order to estimate the soil moisture, the roughness must also be studied. The role of each of them in the backscattering of radar waves must be analyzed as well. There are various models to estimate these two parameters from the radar images, among which the most important ones are the IEM and SPM models. As the evaluation of the accuracy of these models in estimating the surface roughness is based on the real ground data, the calculation of the ground roughness is important. In order to measure the ground roughness, there are two methods: Euclidean Geometry and Fractal Geometry. There are many studies that have demonstrated the higher accuracy of the fractal methods in estimating the surface roughness. In order to measure the surface roughness to enter the physical models or to measure the accuracy of the roughness using the inversion of the physical models, various fractal methods have been proposed, which are based on the profile length, while In this study, a new equation for measuring the roughness by fractal method is proposed, which is based on the sampling intervals. This equation has been obtained based on the simulation of different fractal surfaces in a wide range of dimensions. The accuracy of the obtained model is RMSE =0.12 and R2 =0.9988. The evaluation results of this equation for the ranges outside the simulation have shown that it is a reliable method with high accuracy for measuring the surface roughness using the fractal method.
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| Keywords: Roughness, Fractal Geometry, Euclidean Geometry.fbm |
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Full-Text [PDF 989 kb]
(325 Downloads)
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Type of Study: Research |
Subject:
RS
Received: 2023/09/2 | Accepted: 2024/02/13 | ePublished ahead of print: 2024/02/18 | Published: 2024/03/4
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