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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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/22/3/1049 |
| _version_ | 1797484715470487552 |
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| author | Szymon Motłoch Grzegorz Sarwas Andrzej Dzieliński |
| author_facet | Szymon Motłoch Grzegorz Sarwas Andrzej Dzieliński |
| author_sort | Szymon Motłoch |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-09T23:08:25Z |
| format | Article |
| id | doaj.art-fd1bc75f5a1344e4ac082df2d11cf8a3 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-09T23:08:25Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-fd1bc75f5a1344e4ac082df2d11cf8a32023-11-23T17:49:41ZengMDPI AGSensors1424-82202022-01-01223104910.3390/s22031049Fractional Derivatives Application to Image Fusion ProblemsSzymon Motłoch0Grzegorz Sarwas1Andrzej Dzieliński2Institute of Control and Industrial Electronics, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw, PolandInstitute of Control and Industrial Electronics, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw, PolandInstitute of Control and Industrial Electronics, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw, PolandIn 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.https://www.mdpi.com/1424-8220/22/3/1049fractional calculusimage processingimage fusion |
| spellingShingle | Szymon Motłoch Grzegorz Sarwas Andrzej Dzieliński Fractional Derivatives Application to Image Fusion Problems Sensors fractional calculus image processing image fusion |
| 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 | fractional calculus image processing image fusion |
| url | https://www.mdpi.com/1424-8220/22/3/1049 |
| work_keys_str_mv | AT szymonmotłoch fractionalderivativesapplicationtoimagefusionproblems AT grzegorzsarwas fractionalderivativesapplicationtoimagefusionproblems AT andrzejdzielinski fractionalderivativesapplicationtoimagefusionproblems |