A New Neutrosophic Approach of Wiener Filtering for MRI Denoising

In this paper, a new filtering method based on neutrosophic set (NS) approach of wiener filter is presented to remove Rician noise from magnetic resonance image. A neutrosophic set, a part of neutrosophy theory, studies the origin, nature and scope of neutralities, as well as their interactions with...

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Main Authors: Mohan J., Krishnaveni V., Guo Yanhui
Format: Article
Language:English
Published: Sciendo 2013-08-01
Series:Measurement Science Review
Subjects:
Online Access:https://doi.org/10.2478/msr-2013-0027
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author Mohan J.
Krishnaveni V.
Guo Yanhui
author_facet Mohan J.
Krishnaveni V.
Guo Yanhui
author_sort Mohan J.
collection DOAJ
description In this paper, a new filtering method based on neutrosophic set (NS) approach of wiener filter is presented to remove Rician noise from magnetic resonance image. A neutrosophic set, a part of neutrosophy theory, studies the origin, nature and scope of neutralities, as well as their interactions with different ideational spectra. Now, we apply the neutrosophic set into image domain and define some concepts and operators for image denoising. The image is transformed into NS domain, described using three membership sets: True (T), Indeterminacy (I) and False (F). The entropy of the neutrosophic set is defined and employed to measure the indeterminacy. The ω-wiener filtering operation is used on T and F to decrease the set indeterminacy and remove noise. The experiments have conducted on simulated Magnetic Resonance images (MRI) from Brainweb database and clinical MR images corrupted by Rician noise. The results show that the NS wiener filter produces better denoising results in terms of visual perception, qualitative and quantitative measures compared with other denoising methods, such as classical wiener filter, the anisotropic diffusion filter, the total variation minimization scheme and non local means filter.
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spelling doaj.art-d2f0b3ff08f74939b6e14b712a2939f62022-12-21T22:33:17ZengSciendoMeasurement Science Review1335-88712013-08-0113417718610.2478/msr-2013-0027A New Neutrosophic Approach of Wiener Filtering for MRI DenoisingMohan J.0Krishnaveni V.1Guo Yanhui2Department of Electronics and Communication Engineering, P A College of Engineering and Technology, Pollachi, Tamilnadu 642002, IndiaDepartment of Electronics and Communication Engineering, PSG College of Technology, Coimbatore, Tamilnadu 641004, IndiaSchool of Science, Technology and Engineering Management, Saint Thomas University, Miami Gardens, Florida 33054, USAIn this paper, a new filtering method based on neutrosophic set (NS) approach of wiener filter is presented to remove Rician noise from magnetic resonance image. A neutrosophic set, a part of neutrosophy theory, studies the origin, nature and scope of neutralities, as well as their interactions with different ideational spectra. Now, we apply the neutrosophic set into image domain and define some concepts and operators for image denoising. The image is transformed into NS domain, described using three membership sets: True (T), Indeterminacy (I) and False (F). The entropy of the neutrosophic set is defined and employed to measure the indeterminacy. The ω-wiener filtering operation is used on T and F to decrease the set indeterminacy and remove noise. The experiments have conducted on simulated Magnetic Resonance images (MRI) from Brainweb database and clinical MR images corrupted by Rician noise. The results show that the NS wiener filter produces better denoising results in terms of visual perception, qualitative and quantitative measures compared with other denoising methods, such as classical wiener filter, the anisotropic diffusion filter, the total variation minimization scheme and non local means filter.https://doi.org/10.2478/msr-2013-0027denoisingmagnetic resonance imagingneutrosophic setrician distributionwiener
spellingShingle Mohan J.
Krishnaveni V.
Guo Yanhui
A New Neutrosophic Approach of Wiener Filtering for MRI Denoising
Measurement Science Review
denoising
magnetic resonance imaging
neutrosophic set
rician distribution
wiener
title A New Neutrosophic Approach of Wiener Filtering for MRI Denoising
title_full A New Neutrosophic Approach of Wiener Filtering for MRI Denoising
title_fullStr A New Neutrosophic Approach of Wiener Filtering for MRI Denoising
title_full_unstemmed A New Neutrosophic Approach of Wiener Filtering for MRI Denoising
title_short A New Neutrosophic Approach of Wiener Filtering for MRI Denoising
title_sort new neutrosophic approach of wiener filtering for mri denoising
topic denoising
magnetic resonance imaging
neutrosophic set
rician distribution
wiener
url https://doi.org/10.2478/msr-2013-0027
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