Image Reconstruction Based on Novel Sets of Generalized Orthogonal Moments
In this work, we have presented a general framework for reconstruction of intensity images based on new sets of Generalized Fractional order of Chebyshev orthogonal Moments (GFCMs), a novel set of Fractional order orthogonal Laguerre Moments (FLMs) and Generalized Fractional order orthogonal Laguerr...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-06-01
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| Series: | Journal of Imaging |
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| Online Access: | https://www.mdpi.com/2313-433X/6/6/54 |
| _version_ | 1797564379271528448 |
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| author | R. M. Farouk |
| author_facet | R. M. Farouk |
| author_sort | R. M. Farouk |
| collection | DOAJ |
| description | In this work, we have presented a general framework for reconstruction of intensity images based on new sets of Generalized Fractional order of Chebyshev orthogonal Moments (GFCMs), a novel set of Fractional order orthogonal Laguerre Moments (FLMs) and Generalized Fractional order orthogonal Laguerre Moments (GFLMs). The fractional and generalized recurrence relations of fractional order Chebyshev functions are defined. The fractional and generalized fractional order Laguerre recurrence formulas are given. The new presented generalized fractional order moments are tested with the existing orthogonal moments classical Chebyshev moments, Laguerre moments, and Fractional order Chebyshev Moments (FCMs). The numerical results show that the importance of our general framework which gives a very comprehensive study on intensity image representation based GFCMs, FLMs, and GFLMs. In addition, the fractional parameters give a flexibility of studying global features of images at different positions and scales of the given moments. |
| first_indexed | 2024-03-10T18:56:29Z |
| format | Article |
| id | doaj.art-94f3116c6e0744d384ccc1e94ea42a9b |
| institution | Directory Open Access Journal |
| issn | 2313-433X |
| language | English |
| last_indexed | 2024-03-10T18:56:29Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Journal of Imaging |
| spelling | doaj.art-94f3116c6e0744d384ccc1e94ea42a9b2023-11-20T04:43:04ZengMDPI AGJournal of Imaging2313-433X2020-06-01665410.3390/jimaging6060054Image Reconstruction Based on Novel Sets of Generalized Orthogonal MomentsR. M. Farouk0Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, EgyptIn this work, we have presented a general framework for reconstruction of intensity images based on new sets of Generalized Fractional order of Chebyshev orthogonal Moments (GFCMs), a novel set of Fractional order orthogonal Laguerre Moments (FLMs) and Generalized Fractional order orthogonal Laguerre Moments (GFLMs). The fractional and generalized recurrence relations of fractional order Chebyshev functions are defined. The fractional and generalized fractional order Laguerre recurrence formulas are given. The new presented generalized fractional order moments are tested with the existing orthogonal moments classical Chebyshev moments, Laguerre moments, and Fractional order Chebyshev Moments (FCMs). The numerical results show that the importance of our general framework which gives a very comprehensive study on intensity image representation based GFCMs, FLMs, and GFLMs. In addition, the fractional parameters give a flexibility of studying global features of images at different positions and scales of the given moments.https://www.mdpi.com/2313-433X/6/6/54image reconstructionfractional order Chebyshev momentsgeneralized fractional order Chebyshev momentsfractional order Laguerre momentsgeneralized fractional order Laguerre moments |
| spellingShingle | R. M. Farouk Image Reconstruction Based on Novel Sets of Generalized Orthogonal Moments Journal of Imaging image reconstruction fractional order Chebyshev moments generalized fractional order Chebyshev moments fractional order Laguerre moments generalized fractional order Laguerre moments |
| title | Image Reconstruction Based on Novel Sets of Generalized Orthogonal Moments |
| title_full | Image Reconstruction Based on Novel Sets of Generalized Orthogonal Moments |
| title_fullStr | Image Reconstruction Based on Novel Sets of Generalized Orthogonal Moments |
| title_full_unstemmed | Image Reconstruction Based on Novel Sets of Generalized Orthogonal Moments |
| title_short | Image Reconstruction Based on Novel Sets of Generalized Orthogonal Moments |
| title_sort | image reconstruction based on novel sets of generalized orthogonal moments |
| topic | image reconstruction fractional order Chebyshev moments generalized fractional order Chebyshev moments fractional order Laguerre moments generalized fractional order Laguerre moments |
| url | https://www.mdpi.com/2313-433X/6/6/54 |
| work_keys_str_mv | AT rmfarouk imagereconstructionbasedonnovelsetsofgeneralizedorthogonalmoments |