This study presents a remote sensing application of using time-series satellite images for monitoring the solid waste disposal facilities (WDF). Solid waste management and monitoring is a critical issue for the metropolitan authorities of developed and developing countries. This is due to the appearance of natural, unauthorized garbage dumps that negatively affect the ecological and epidemiological state of the environment. It is advisable to solve this problem remotely, using remote sensing technologies, having high-and medium-resolution information from spacecraft. We propose a method of filtrate analysis and space images (SI) decryption are carried out with the use of a DOT apparatus and, in particular, with the use of Viner filtering. In this work, Winer filtering is used, as part of the proposed algorithm of computer simulation of the fractal-percolation process of filtrate of the underlying surface of WDF, the filtering threshold is determined, as well as studies for correctness on Tikhonov are carried out. The experiment is carried out on the example of a SI with a WDF image. An extension of the feature space is also modeled using stochastic geometry. The results obtained can serve as a basis for the development of a methodology for assessing the effectiveness of measures to neutralize the underlying surface of the WDF from the filtrate and leak it into the soil using remote sensing of the Earth technologies. This methodology can be the subject of further research on the development of a medical and preventive expert system at the territorial level for the detection and neutralization of unauthorized WDFs on medium and high-resolution space images.
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