Compressed Sensing MRI Reconstruction Algorithm Based on Contourlet Transform and Alternating Direction Method

Compressed Sensing MRI Reconstruction Algorithm Based on Contourlet Transform and Alternating Direction Method

Compressed sensing (CS) based methods have recently been used to reconstruct magnetic resonance (MR) images from undersampled measurements, which is known as CS-MRI. In traditional CS-MRI, wavelet transform can hardly capture the information of image curves and edges. In this paper, we present a new...

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Main Authors: Zhenyu Hu, Qiuye Wang, Congcong Ming, Lai Wang, Yuanqing Hu, Jian Zou
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Electrical and Computer Engineering
Online Access:http://dx.doi.org/10.1155/2015/175231
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spelling doaj-ef2a537071114a169fb27e49784410f82021-07-02T08:51:02ZengHindawi LimitedJournal of Electrical and Computer Engineering2090-01472090-01552015-01-01201510.1155/2015/175231175231Compressed Sensing MRI Reconstruction Algorithm Based on Contourlet Transform and Alternating Direction MethodZhenyu Hu0Qiuye Wang1Congcong Ming2Lai Wang3Yuanqing Hu4Jian Zou5School of Information and Mathematics, Yangtze University, Hubei 434020, ChinaSchool of Information and Mathematics, Yangtze University, Hubei 434020, ChinaSchool of Information and Mathematics, Yangtze University, Hubei 434020, ChinaSchool of Information and Mathematics, Yangtze University, Hubei 434020, ChinaSchool of Information and Mathematics, Yangtze University, Hubei 434020, ChinaSchool of Information and Mathematics, Yangtze University, Hubei 434020, ChinaCompressed sensing (CS) based methods have recently been used to reconstruct magnetic resonance (MR) images from undersampled measurements, which is known as CS-MRI. In traditional CS-MRI, wavelet transform can hardly capture the information of image curves and edges. In this paper, we present a new CS-MRI reconstruction algorithm based on contourlet transform and alternating direction method (ADM). The MR images are firstly represented by contourlet transform, which can describe the images’ curves and edges fully and accurately. Then the MR images are reconstructed by ADM, which is an effective CS reconstruction method. Numerical results validate the superior performance of the proposed algorithm in terms of reconstruction accuracy and computation time.http://dx.doi.org/10.1155/2015/175231
collection DOAJ
language English
format Article
sources DOAJ
author Zhenyu Hu
Qiuye Wang
Congcong Ming
Lai Wang
Yuanqing Hu
Jian Zou
spellingShingle Zhenyu Hu
Qiuye Wang
Congcong Ming
Lai Wang
Yuanqing Hu
Jian Zou
Compressed Sensing MRI Reconstruction Algorithm Based on Contourlet Transform and Alternating Direction Method
Journal of Electrical and Computer Engineering
author_facet Zhenyu Hu
Qiuye Wang
Congcong Ming
Lai Wang
Yuanqing Hu
Jian Zou
author_sort Zhenyu Hu
title Compressed Sensing MRI Reconstruction Algorithm Based on Contourlet Transform and Alternating Direction Method
title_short Compressed Sensing MRI Reconstruction Algorithm Based on Contourlet Transform and Alternating Direction Method
title_full Compressed Sensing MRI Reconstruction Algorithm Based on Contourlet Transform and Alternating Direction Method
title_fullStr Compressed Sensing MRI Reconstruction Algorithm Based on Contourlet Transform and Alternating Direction Method
title_full_unstemmed Compressed Sensing MRI Reconstruction Algorithm Based on Contourlet Transform and Alternating Direction Method
title_sort compressed sensing mri reconstruction algorithm based on contourlet transform and alternating direction method
publisher Hindawi Limited
series Journal of Electrical and Computer Engineering
issn 2090-0147
2090-0155
publishDate 2015-01-01
description Compressed sensing (CS) based methods have recently been used to reconstruct magnetic resonance (MR) images from undersampled measurements, which is known as CS-MRI. In traditional CS-MRI, wavelet transform can hardly capture the information of image curves and edges. In this paper, we present a new CS-MRI reconstruction algorithm based on contourlet transform and alternating direction method (ADM). The MR images are firstly represented by contourlet transform, which can describe the images’ curves and edges fully and accurately. Then the MR images are reconstructed by ADM, which is an effective CS reconstruction method. Numerical results validate the superior performance of the proposed algorithm in terms of reconstruction accuracy and computation time.
url http://dx.doi.org/10.1155/2015/175231
work_keys_str_mv AT zhenyuhu compressedsensingmrireconstructionalgorithmbasedoncontourlettransformandalternatingdirectionmethod
AT qiuyewang compressedsensingmrireconstructionalgorithmbasedoncontourlettransformandalternatingdirectionmethod
AT congcongming compressedsensingmrireconstructionalgorithmbasedoncontourlettransformandalternatingdirectionmethod
AT laiwang compressedsensingmrireconstructionalgorithmbasedoncontourlettransformandalternatingdirectionmethod
AT yuanqinghu compressedsensingmrireconstructionalgorithmbasedoncontourlettransformandalternatingdirectionmethod
AT jianzou compressedsensingmrireconstructionalgorithmbasedoncontourlettransformandalternatingdirectionmethod
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