Fractal Analysis for Remote Sensing Data

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".

Deadline for manuscript submissions: closed (20 October 2023) | Viewed by 3405

Special Issue Editor


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Guest Editor
Faculty of Electrical Engineering and Computer Science, Transilvania University of Brasov , Politehnicii 1, 500024 Brasov, Romania
Interests: color features; color texture; color and complexity perception; multispectral and hyperspectral image segmentation; big data; deep learning
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Special Issue Information

Dear colleagues,

Fractal analysis is a widely used multi-scale analysis of signals or, in general, natural phenomena exhibiting the self-similarity property. The main fractal analysis tool is the fractal dimension, which is a measure of the complexity of the analyzed signal. It can be used to characterize texture in images for the purpose of classification or image segmentation. Within the Big Data context in remote sensing today, as well as the freely available satellite images from the sentinels within the Copernicus program of the EU and the ESA, the need for rapid automatic analysis of satellite images has increased considerably. Fractal analysis can offer solutions for performing various tasks on remotely sensed images for Earth Observation applications, such as classification of land cover, analysis of river network complexity or coastline, etc. “How long is the coast of Britain?” The really open question, however, is how to adapt the existing tools to the spectral nature of the data and apply fractal analysis to remotely sensed data, as well as how to provide references for calibration of the proposed tools.

The aim of this Special Issue is to advance research on topics relating to the theory, design, implementation, and application of fractal analysis for remote sensing data. Topics that are invited for submission include (but are not limited to):

  • Fractal dimension of multispectral and hyperspectral images;
  • Fractal dimension estimation on remotely sensed data;
  • Texture classification based on fractal features or descriptors;
  • Remotely sensed image segmentation using fractal analysis;
  • Fractal analysis for Earth Observation applications;
  • Acceleration and parallel implementations of fractal analysis approaches.

Prof. Dr. Mihai Ivanovici
Guest Editor

Manuscript Submission Information

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Published Papers (2 papers)

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Research

14 pages, 6637 KiB  
Article
The Impact of Sentinel-1-Corrected Fractal Roughness on Soil Moisture Retrievals
by Ju Hyoung Lee and Hyun-Cheol Kim
Fractal Fract. 2024, 8(3), 137; https://doi.org/10.3390/fractalfract8030137 - 27 Feb 2024
Viewed by 1081
Abstract
Fractals are widely recognized as one of the best geometric models to depict soil roughness on various scales from tillage to micro-topography smaller than radar wavelength. However, most fractal approaches require an additional geometric description of experimental sites to be analysed by existing [...] Read more.
Fractals are widely recognized as one of the best geometric models to depict soil roughness on various scales from tillage to micro-topography smaller than radar wavelength. However, most fractal approaches require an additional geometric description of experimental sites to be analysed by existing radiative transfer models. For example, fractal dimension or spectral parameter is often related to root-mean-square (RMS) height to be characterized as the microwave surface. However, field measurements hardly represent multi-scale roughness. In this study, we rescaled Power Spectral Density with Synthetic Aperture Radar (SAR)-inverted rms height, and estimated non-stationary fractal roughness to accommodate multi-scale roughness into a radiative transfer model structure. As a result, soil moisture was retrieved over the Yanco site in Australia. Local validation shows that the Integral Equation Model (IEM) poorly simulated backscatters using inverted roughness as compared to fractal roughness even in anisotropic conditions. This is considered due to a violation of time-invariance assumption used for inversion. Spatial analysis also shows that multi-scale fractal roughness better illustrated the hydrologically reasonable backscattering partitioning, as compared to inverted roughness. Fractal roughness showed a greater contribution of roughness to backscattering in dry conditions. Differences between IEM backscattering and measurement were lower, even when the isotropic assumption of the fractal model was violated. In wet conditions, the contribution of soil moisture to backscattering was shown more clearly by fractal roughness. These results suggest that the multi-scale fractal roughness can be better adapted to the IEM even in anisotropic conditions than the inversion to assume time-invariance of roughness. Full article
(This article belongs to the Special Issue Fractal Analysis for Remote Sensing Data)
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19 pages, 30444 KiB  
Article
A Multi-Spectral Fractal Image Model and Its Associated Fractal Dimension Estimator
by Mihai Ivanovici
Fractal Fract. 2023, 7(3), 238; https://doi.org/10.3390/fractalfract7030238 - 7 Mar 2023
Cited by 1 | Viewed by 1456
Abstract
We propose both a probabilistic fractal model and fractal dimension estimator for multi-spectral images. The model is based on the widely known fractional Brownian motion fractal model, which is extended to the case of images with multiple spectral bands. The model is validated [...] Read more.
We propose both a probabilistic fractal model and fractal dimension estimator for multi-spectral images. The model is based on the widely known fractional Brownian motion fractal model, which is extended to the case of images with multiple spectral bands. The model is validated mathematically under the assumption of statistical independence of the spectral components. Using this model, we generate several synthetic multi-spectral fractal images of varying complexity, with seven statistically independent spectral bands at specific wavelengths in the visible domain. The fractal dimension estimator is based on the widely used probabilistic box-counting classical approach extended to the multivariate domain of multi-spectral images. We validate the estimator on the previously generated synthetic multi-spectral images having fractal properties. Furthermore, we deploy the proposed multi-spectral fractal image estimator for the complexity assessment of real remotely sensed data sets and show the usefulness of the proposed approach. Full article
(This article belongs to the Special Issue Fractal Analysis for Remote Sensing Data)
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