Theory and methodology of multifractal interpretation of aerospace images

Dm. V. Uchaev; D. V. Uchaev

doi:10.1117/12.2559168

31 January 2020 Theory and methodology of multifractal interpretation of aerospace images

Dm. V. Uchaev, D. V. Uchaev

Proceedings Volume 11433, Twelfth International Conference on Machine Vision (ICMV 2019); 114333B (2020) https://doi.org/10.1117/12.2559168
Event: Twelfth International Conference on Machine Vision, 2019, Amsterdam, Netherlands

Abstract

This paper introduces a specific type of aerospace image interpretation (AII), which is called as multifractal interpretation (MI) and provides the identification and description of natural objects on aerospace images (AIs) by their multifractal analysis (MA). The paper also presents a generalization of standard (moment-based) multifractal formalism (SMF), which can be considered as a theoretical basis of MI. This generalized multifractal formalism (GMF) is based on the use of kernels constructed using discrete orthonormal polynomials (OPs). It is shown that proposed GMF, in contrast to SMF, can be used to obtain one-dimensional (1D) spectra of global scaling exponents, spectra of local scaling exponents and firstly introduced two-dimensional (2D) spectra of global scaling exponents. The last part of the paper is devoted to the proposed MI methodology that includes MA based on GMF as the main block of the methodology.

Citation Download Citation

Dm. V. Uchaev and D. V. Uchaev "Theory and methodology of multifractal interpretation of aerospace images", Proc. SPIE 11433, Twelfth International Conference on Machine Vision (ICMV 2019), 114333B (31 January 2020); https://doi.org/10.1117/12.2559168

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