Abstract
The conventional approach for fractal dimension (FD) estimation using box count method has been widely used in the analysis of imageries especially in the domain of earth systems modelling and has been known to provide insight into the complexities of the system as well as the dynamics of the processes involved. However, for heterogeneous imageries such as micrographs, etc., the information provided by estimated FD seems to be limited. The present work establishes this limitation in the use of FD (using HarFA 5.5 software) and extends the concept of fractal dimensioning into lower scale segregation levels and evaluating their differential scores. In this approach, fractal differential adjacency segregation (F-DAS) scores are estimated using MATLAB 14.0 for each of the image pixels (of SEM imageries) using the arithmetic means of the grey levels of the adjacency pixels enclosed by the box (used for counting in the conventional methods). The present analysis provides a better understanding of the variability of the system (in this case, adsorbents–adsorbate interactions), unexplored by qualitative analysis of SEM imageries as well as the functional groups using FTIR. This work provides systematic steps of estimation of F-DAS scores of any imagery, the assumptions underlying the approach as well as the scopes of its applications in analysis of various earth systems.
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Acknowledgements
The authors express their sincere thanks to the Department of Science and Technology (DST), Government of India, for the financial support. We also thank Prof. V.P. Dimri (NGRI), for his kind motivation and encouragement throughout the development of this chapter. In fact, it is he only who taught us about this expanding field of research.
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Das, A., Ravikumar, K., Subramanyam, B., Goel, M., Sri Hari, V., Rajamanickam, G.V. (2016). Estimation and Application of Fractal Differential Adjacency Segregation (F-DAS) Scores in Analysis of Scanning Electron Micrograph (SEM) Imageries Towards Understanding the Adsorption unto Porous Solids. In: Dimri, V. (eds) Fractal Solutions for Understanding Complex Systems in Earth Sciences. Springer Earth System Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-24675-8_6
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DOI: https://doi.org/10.1007/978-3-319-24675-8_6
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