Volume 6, Issue 7 (July 2019), Pages: 83-88

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 Original Research Paper

 Title: A new set of quaternion Laguerre moments for the reconstruction of CT and MRI images

 Author(s): Nouf Saeed Al Otaibi *

 Affiliation(s):

 Computer Science Department, Shaqra University, Shaqra, Saudi Arabia

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0002-3057-297x

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2019.07.011

 Abstract:

This study proposes a new set of moment functions for the reconstruction of medical computer tomography (CT) and magnetic resonance images (MRI) based on the associated Laguerre polynomials, which are orthogonal over the whole right-half plane. Moreover, the mathematical frameworks of radial associated Laguerre moments and associated rotation invariants are introduced. The proposed radial Laguerre invariants retain the basic form of disc-based moments, such as Zernike moments, pseudo-Zernike moments, Fourier-Mellin moments, and so on. Therefore, the rotation invariants of radial associated Laguerre moments can be easily obtained. In addition, we have also extended the proposed moments and invariants using the algebra of quaternion to avoid losing some significant color information. Finally, we have tested the numerical results performance based on the mean square error technique. The numerical experiment results obtained from both gray-level medical images and color medical images demonstrate that the effectiveness of the proposed ALMs and RALMs could be better according to reconstruction. 

 © 2019 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: Medical images, Reconstruction, Laguerre polynomials, Orthogonal Laguerre moments, Quaternion, Radial-polar, Rotation invariants

 Article History: Received 6 January 2019, Received in revised form 28 April 2019, Accepted 22 May 2019

 Acknowledgement:

No Acknowledgement.

 Compliance with ethical standards

 Conflict of interest:  The authors declare that they have no conflict of interest.

 Citation:

 Al Otaibi NS (2019). A new set of quaternion Laguerre moments for the reconstruction of CT and MRI images. International Journal of Advanced and Applied Sciences, 6(7): 83-88

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 Figures

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 References (10) 

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