Improving the Performance of the Prony Method Using a Wavelet Domain Filter for MRI Denoising

The Prony methods are used for exponential fitting. We use a variant of the Prony method for abnormal brain tissue detection in sequences of T2 weighted magnetic resonance images. Here, MR images are considered to be affected only by Rician noise, and a new wavelet domain bilateral filtering process...

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Main Authors: Rodney Jaramillo, Marianela Lentini, Marco Paluszny
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Computational and Mathematical Methods in Medicine
Online Access:http://dx.doi.org/10.1155/2014/810680
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spelling doaj-9e26a407a9e740a4b6b51baa9a619c142020-11-24T22:39:23ZengHindawi LimitedComputational and Mathematical Methods in Medicine1748-670X1748-67182014-01-01201410.1155/2014/810680810680Improving the Performance of the Prony Method Using a Wavelet Domain Filter for MRI DenoisingRodney Jaramillo0Marianela Lentini1Marco Paluszny2Escuela de Matemáticas, Facultad de Ciencias, Universidad Nacional de Colombia, Medellín, ColombiaEscuela de Matemáticas, Facultad de Ciencias, Universidad Nacional de Colombia, Medellín, ColombiaEscuela de Matemáticas, Facultad de Ciencias, Universidad Nacional de Colombia, Medellín, ColombiaThe Prony methods are used for exponential fitting. We use a variant of the Prony method for abnormal brain tissue detection in sequences of T2 weighted magnetic resonance images. Here, MR images are considered to be affected only by Rician noise, and a new wavelet domain bilateral filtering process is implemented to reduce the noise in the images. This filter is a modification of Kazubek’s algorithm and we use synthetic images to show the ability of the new procedure to suppress noise and compare its performance with respect to the original filter, using quantitative and qualitative criteria. The tissue classification process is illustrated using a real sequence of T2 MR images, and the filter is applied to each image before using the variant of the Prony method.http://dx.doi.org/10.1155/2014/810680
collection DOAJ
language English
format Article
sources DOAJ
author Rodney Jaramillo
Marianela Lentini
Marco Paluszny
spellingShingle Rodney Jaramillo
Marianela Lentini
Marco Paluszny
Improving the Performance of the Prony Method Using a Wavelet Domain Filter for MRI Denoising
Computational and Mathematical Methods in Medicine
author_facet Rodney Jaramillo
Marianela Lentini
Marco Paluszny
author_sort Rodney Jaramillo
title Improving the Performance of the Prony Method Using a Wavelet Domain Filter for MRI Denoising
title_short Improving the Performance of the Prony Method Using a Wavelet Domain Filter for MRI Denoising
title_full Improving the Performance of the Prony Method Using a Wavelet Domain Filter for MRI Denoising
title_fullStr Improving the Performance of the Prony Method Using a Wavelet Domain Filter for MRI Denoising
title_full_unstemmed Improving the Performance of the Prony Method Using a Wavelet Domain Filter for MRI Denoising
title_sort improving the performance of the prony method using a wavelet domain filter for mri denoising
publisher Hindawi Limited
series Computational and Mathematical Methods in Medicine
issn 1748-670X
1748-6718
publishDate 2014-01-01
description The Prony methods are used for exponential fitting. We use a variant of the Prony method for abnormal brain tissue detection in sequences of T2 weighted magnetic resonance images. Here, MR images are considered to be affected only by Rician noise, and a new wavelet domain bilateral filtering process is implemented to reduce the noise in the images. This filter is a modification of Kazubek’s algorithm and we use synthetic images to show the ability of the new procedure to suppress noise and compare its performance with respect to the original filter, using quantitative and qualitative criteria. The tissue classification process is illustrated using a real sequence of T2 MR images, and the filter is applied to each image before using the variant of the Prony method.
url http://dx.doi.org/10.1155/2014/810680
work_keys_str_mv AT rodneyjaramillo improvingtheperformanceofthepronymethodusingawaveletdomainfilterformridenoising
AT marianelalentini improvingtheperformanceofthepronymethodusingawaveletdomainfilterformridenoising
AT marcopaluszny improvingtheperformanceofthepronymethodusingawaveletdomainfilterformridenoising
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