The discrete system of Fibonacci functions for the construction of a global automated system for monitoring objects littering the environment using remote sensing

M. Kazaryan; E. Semenishchev; V. Voronin

doi:10.1117/12.2600720

12 September 2021 The discrete system of Fibonacci functions for the construction of a global automated system for monitoring objects littering the environment using remote sensing

M. Kazaryan, E. Semenishchev, V. Voronin

Author Affiliations +

Proceedings Volume 11862, Image and Signal Processing for Remote Sensing XXVII; 1186206 (2021) https://doi.org/10.1117/12.2600720
Event: SPIE Remote Sensing, 2021, Online Only

Abstract

The article explores the detection of unauthorized landfills based on remote sensing data. We have developed a mathematical approach that translates ordinary images to the 2-D manifold or 3-D manifolds in stereo images. At the same time, the posed task when developing algorithms is the transformation (convolution) of these manifolds into a one-dimensional sample. The developed method corresponds to the following two conditions: 1) preservation of the topological proximity of the elements of the original and expanded spaces, 2) preservation of correlations between the elements of the original and transformed spaces. The basic idea that underlies the mathematical support of the developed automated system is the concept of fractal sets. The concept of continuous orthogonal transformations, including the Fibonacci transform, is used as a mathematical basis for determining anomalous signal structures in the surrounding background. The problem of monitoring and decoding space images from the point of view of the synthesis of orthogonal systems with predetermined properties (speed of calculations, order of transformation, etc.) is presented. Examples of processing by the proposed algorithm are presented on the satellite images of the Moscow Region territories of the Russian Federation.

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M. Kazaryan, E. Semenishchev, and V. Voronin "The discrete system of Fibonacci functions for the construction of a global automated system for monitoring objects littering the environment using remote sensing", Proc. SPIE 11862, Image and Signal Processing for Remote Sensing XXVII, 1186206 (12 September 2021); https://doi.org/10.1117/12.2600720

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