MRI Reconstruction with Separate Magnitude and Phase Priors Based on Dual-Tree Complex Wavelet Transform

The methods of compressed sensing magnetic resonance imaging (CS-MRI) can be divided into two categories roughly based on the number of target variables. One group devotes to estimating the complex-valued MRI image. And the other calculates the magnitude and phase parts of the complex-valued MRI ima...

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Main Authors: Wei He, Linman Zhao
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:International Journal of Biomedical Imaging
Online Access:http://dx.doi.org/10.1155/2022/7251674
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author Wei He
Linman Zhao
author_facet Wei He
Linman Zhao
author_sort Wei He
collection DOAJ
description The methods of compressed sensing magnetic resonance imaging (CS-MRI) can be divided into two categories roughly based on the number of target variables. One group devotes to estimating the complex-valued MRI image. And the other calculates the magnitude and phase parts of the complex-valued MRI image, respectively, by enforcing separate penalties on them. We propose a new CS-based method based on dual-tree complex wavelet (DT CWT) sparsity, which is under the frame of the second class of CS-MRI. Owing to the separate regularization frame, this method reduces the impact of the phase jumps (that means the jumps or discontinuities of phase values) on magnitude reconstruction. Moreover, by virtue of the excellent features of DT CWT, such as nonoscillating envelope of coefficients and multidirectional selectivity, the proposed method is capable of capturing more details in the magnitude and phase images. The experimental results show that the proposed method recovers the image contour and edges information well and can eliminate the artifacts in magnitude results caused by phase jumps.
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institution Kabale University
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language English
publishDate 2022-01-01
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series International Journal of Biomedical Imaging
spelling doaj-art-676bc428fcb54d4fa914ad3d3b6ffc5b2025-02-03T01:22:58ZengWileyInternational Journal of Biomedical Imaging1687-41962022-01-01202210.1155/2022/7251674MRI Reconstruction with Separate Magnitude and Phase Priors Based on Dual-Tree Complex Wavelet TransformWei He0Linman Zhao1Department of Computer Science and TechnologyDepartment of Computer Science and TechnologyThe methods of compressed sensing magnetic resonance imaging (CS-MRI) can be divided into two categories roughly based on the number of target variables. One group devotes to estimating the complex-valued MRI image. And the other calculates the magnitude and phase parts of the complex-valued MRI image, respectively, by enforcing separate penalties on them. We propose a new CS-based method based on dual-tree complex wavelet (DT CWT) sparsity, which is under the frame of the second class of CS-MRI. Owing to the separate regularization frame, this method reduces the impact of the phase jumps (that means the jumps or discontinuities of phase values) on magnitude reconstruction. Moreover, by virtue of the excellent features of DT CWT, such as nonoscillating envelope of coefficients and multidirectional selectivity, the proposed method is capable of capturing more details in the magnitude and phase images. The experimental results show that the proposed method recovers the image contour and edges information well and can eliminate the artifacts in magnitude results caused by phase jumps.http://dx.doi.org/10.1155/2022/7251674
spellingShingle Wei He
Linman Zhao
MRI Reconstruction with Separate Magnitude and Phase Priors Based on Dual-Tree Complex Wavelet Transform
International Journal of Biomedical Imaging
title MRI Reconstruction with Separate Magnitude and Phase Priors Based on Dual-Tree Complex Wavelet Transform
title_full MRI Reconstruction with Separate Magnitude and Phase Priors Based on Dual-Tree Complex Wavelet Transform
title_fullStr MRI Reconstruction with Separate Magnitude and Phase Priors Based on Dual-Tree Complex Wavelet Transform
title_full_unstemmed MRI Reconstruction with Separate Magnitude and Phase Priors Based on Dual-Tree Complex Wavelet Transform
title_short MRI Reconstruction with Separate Magnitude and Phase Priors Based on Dual-Tree Complex Wavelet Transform
title_sort mri reconstruction with separate magnitude and phase priors based on dual tree complex wavelet transform
url http://dx.doi.org/10.1155/2022/7251674
work_keys_str_mv AT weihe mrireconstructionwithseparatemagnitudeandphasepriorsbasedondualtreecomplexwavelettransform
AT linmanzhao mrireconstructionwithseparatemagnitudeandphasepriorsbasedondualtreecomplexwavelettransform