Fractional Derivatives Application to Image Fusion Problems

In this paper, an analysis of the method that uses a fractional order calculus to multispectral images fusion is presented. We analyze some correct basic definitions of the fractional order derivatives that are used in the image processing context. Several methods of determining fractional derivativ...

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Detalles Bibliográficos
Autores principales: Motłoch, Szymon, Sarwas, Grzegorz, Dzieliński, Andrzej
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8840620/
https://www.ncbi.nlm.nih.gov/pubmed/35161795
http://dx.doi.org/10.3390/s22031049
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author Motłoch, Szymon
Sarwas, Grzegorz
Dzieliński, Andrzej
author_facet Motłoch, Szymon
Sarwas, Grzegorz
Dzieliński, Andrzej
author_sort Motłoch, Szymon
collection PubMed
description In this paper, an analysis of the method that uses a fractional order calculus to multispectral images fusion is presented. We analyze some correct basic definitions of the fractional order derivatives that are used in the image processing context. Several methods of determining fractional derivatives of digital images are tested, and the influence of fractional order change on the quality of fusion is presented. Results achieved are compared with the results obtained for methods where the integer order derivatives were used.
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spelling pubmed-88406202022-02-13 Fractional Derivatives Application to Image Fusion Problems Motłoch, Szymon Sarwas, Grzegorz Dzieliński, Andrzej Sensors (Basel) Article In this paper, an analysis of the method that uses a fractional order calculus to multispectral images fusion is presented. We analyze some correct basic definitions of the fractional order derivatives that are used in the image processing context. Several methods of determining fractional derivatives of digital images are tested, and the influence of fractional order change on the quality of fusion is presented. Results achieved are compared with the results obtained for methods where the integer order derivatives were used. MDPI 2022-01-28 /pmc/articles/PMC8840620/ /pubmed/35161795 http://dx.doi.org/10.3390/s22031049 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Motłoch, Szymon
Sarwas, Grzegorz
Dzieliński, Andrzej
Fractional Derivatives Application to Image Fusion Problems
title Fractional Derivatives Application to Image Fusion Problems
title_full Fractional Derivatives Application to Image Fusion Problems
title_fullStr Fractional Derivatives Application to Image Fusion Problems
title_full_unstemmed Fractional Derivatives Application to Image Fusion Problems
title_short Fractional Derivatives Application to Image Fusion Problems
title_sort fractional derivatives application to image fusion problems
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8840620/
https://www.ncbi.nlm.nih.gov/pubmed/35161795
http://dx.doi.org/10.3390/s22031049
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AT sarwasgrzegorz fractionalderivativesapplicationtoimagefusionproblems
AT dzielinskiandrzej fractionalderivativesapplicationtoimagefusionproblems

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