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Article

Image Reconstruction Based on Novel Sets of Generalized Orthogonal Moments

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt
J. Imaging 2020, 6(6), 54; https://doi.org/10.3390/jimaging6060054
Received: 30 April 2020 / Revised: 9 June 2020 / Accepted: 13 June 2020 / Published: 23 June 2020
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. View Full-Text
Keywords: image reconstruction; fractional order Chebyshev moments; generalized fractional order Chebyshev moments; fractional order Laguerre moments; generalized fractional order Laguerre moments image reconstruction; fractional order Chebyshev moments; generalized fractional order Chebyshev moments; fractional order Laguerre moments; generalized fractional order Laguerre moments
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MDPI and ACS Style

Farouk, R.M. Image Reconstruction Based on Novel Sets of Generalized Orthogonal Moments. J. Imaging 2020, 6, 54. https://doi.org/10.3390/jimaging6060054

AMA Style

Farouk RM. Image Reconstruction Based on Novel Sets of Generalized Orthogonal Moments. Journal of Imaging. 2020; 6(6):54. https://doi.org/10.3390/jimaging6060054

Chicago/Turabian Style

Farouk, R. M. 2020. "Image Reconstruction Based on Novel Sets of Generalized Orthogonal Moments" J. Imaging 6, no. 6: 54. https://doi.org/10.3390/jimaging6060054

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