International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

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 Volume 8, Issue 2 (February 2021), Pages: 54-59

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 Original Research Paper

 Title: Image representation based on fractional order Legendre and Laguerre orthogonal moments

 Author(s): R. M. Farouk *, Qamar A. A. Awad

 Affiliation(s):

 Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0002-5441-1003

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2021.02.007

 Abstract:

In this paper, we have introduced new sets of fractional order orthogonal basis moments based on Fractional order Legendre orthogonal Functions (FLeFs) and Fractional order Laguerre orthogonal Functions (FLaFs) for image representation. We have generated a novel set of Fractional order Legendre orthogonal Moments (FLeMs) from fractional order Legendre orthogonal functions and a new set of Fractional order Laguerre orthogonal Moments (FLaMs) from the fractional order Laguerre orthogonal functions. The new presented sets of (FLeMs) and (FLaMs) are tested with the recently introduced Fractional order Chebyshev orthogonal Moments (FCMs). This edge detection filter can be used successfully in the gray level image and color images. The new sets of fractional moments are used to reconstruct the gray level image. The numerical results show FLeMs and FLaMs are promised techniques for image representation. The computational time of the proposed techniques is compared with the computational time of Chebyshev orthogonal Moments techniques and gives better results. Also, the fractional parameters give the flexibility of studying global features of the image at different positions of moments. 

 © 2020 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Image representation, Fractional order moments, Fractional order Legendre moments, Fractional order Laguerre moments, Edge detection, Image segmentation

 Article History: Received 13 June 2020, Received in revised form 23 August 2020, Accepted 23 September 2020

 Acknowledgment:

No Acknowledgment.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

  Farouk RM and Awad QAA (2021). Image representation based on fractional order Legendre and Laguerre orthogonal moments. International Journal of Advanced and Applied Sciences, 8(2): 54-59

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 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4 Fig. 5 Fig. 6 

 Tables

 Table 1 Table 2

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