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Analysis of Three-Channel Images Based on the Theory of Three-Webs

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Abstract

Currently, one of the most urgent problems of digital image processing is the search for new mathematical approaches to the analysis and processing of multichannel images. The relevance of these studies is due to the need of optimization of available methods of digital image processing and increase the quality of the results obtained. In this paper, a new approach to processing of digital RGB-images based on the Blaschke theory of three-webs is proposed. Invariants of three-channel images with respect to the widest “topological” transformation group are determined.

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Authors and Affiliations

  1. Yugra State University, Khanty-Mansiisk, Russia

    O. V. Samarina, S. P. Semenov & V. V. Slavsky

Authors
  1. O. V. Samarina
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  2. S. P. Semenov
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  3. V. V. Slavsky
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Correspondence to O. V. Samarina.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 182, Proceedings of the International Conference “Classical and Modern Geometry” Dedicated to the 100th Anniversary of Professor V. T. Bazylev. Moscow, April 22-25, 2019. Part 4, 2020.

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Samarina, O.V., Semenov, S.P. & Slavsky, V.V. Analysis of Three-Channel Images Based on the Theory of Three-Webs. J Math Sci 277, 822–827 (2023). https://doi.org/10.1007/s10958-023-06890-4

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  • DOI: https://doi.org/10.1007/s10958-023-06890-4

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