Compressed sensing MRI by two-dimensional wavelet filter banks

Zangen Zhu; Ran Yang; Jingxin Zhang; Cishen Zhang

doi:10.1109/nDS.2011.6076845

Compressed sensing MRI by two-dimensional wavelet filter banks

Zangen Zhu, Ran Yang, Jingxin Zhang, Cishen Zhang

Electrical and Computer Systems Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

6 Citations (Scopus)

Abstract

How to speed up the scanning process is the bottleneck problem of magnetic resonance imaging (MRI). As a newly developed mathematical framework of signal sampling and recovery, compressed sensing (CS) provides a solution to this problem because of its potential of reconstructing MR images from fewer samples. Recent work has demonstrated successful application of CS to MRI. However, the frequently used sparsifying transform is the traditional discrete wavelet transform, which has shortcomings, such as oscillations, lack of directionality and shift variance. This paper implements compressed sensing MRI reconstruction based on a new kind of two-dimensional wavelet filter banks which has improved directional selectivity and approximate shift invariance. Our experiments show that the method can significantly reduce aliasing and achieve higher peak signal to noise ratio (PSNR).

Original language	English
Title of host publication	2011 7th International Workshop on Multidimensional (nD) Systems, nDS 2011
Subtitle of host publication	Poitiers, France; 5-7 September 2011
Editors	O. Bachelier, K. Galkowski, E. Rogers
Place of Publication	Piscataway NJ USA
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Number of pages	6
ISBN (Electronic)	9781612848174
ISBN (Print)	9781612848167, 9781612848150
DOIs	https://doi.org/10.1109/nDS.2011.6076845
Publication status	Published - 2011
Event	International Workshop on Multidimensional Systems 2011 - Poitiers, France Duration: 5 Sept 2011 → 7 Sept 2011 Conference number: 7th

Conference

Conference	International Workshop on Multidimensional Systems 2011
Abbreviated title	nDS 2011
Country/Territory	France
City	Poitiers
Period	5/09/11 → 7/09/11

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Zhu, Z., Yang, R., Zhang, J., & Zhang, C. (2011). Compressed sensing MRI by two-dimensional wavelet filter banks. In O. Bachelier, K. Galkowski, & E. Rogers (Eds.), 2011 7th International Workshop on Multidimensional (nD) Systems, nDS 2011: Poitiers, France; 5-7 September 2011 Article 6076845 IEEE, Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/nDS.2011.6076845

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title = "Compressed sensing MRI by two-dimensional wavelet filter banks",

abstract = "How to speed up the scanning process is the bottleneck problem of magnetic resonance imaging (MRI). As a newly developed mathematical framework of signal sampling and recovery, compressed sensing (CS) provides a solution to this problem because of its potential of reconstructing MR images from fewer samples. Recent work has demonstrated successful application of CS to MRI. However, the frequently used sparsifying transform is the traditional discrete wavelet transform, which has shortcomings, such as oscillations, lack of directionality and shift variance. This paper implements compressed sensing MRI reconstruction based on a new kind of two-dimensional wavelet filter banks which has improved directional selectivity and approximate shift invariance. Our experiments show that the method can significantly reduce aliasing and achieve higher peak signal to noise ratio (PSNR).",

author = "Zangen Zhu and Ran Yang and Jingxin Zhang and Cishen Zhang",

year = "2011",

doi = "10.1109/nDS.2011.6076845",

language = "English",

isbn = "9781612848167",

editor = "O. Bachelier and K. Galkowski and E. Rogers",

booktitle = "2011 7th International Workshop on Multidimensional (nD) Systems, nDS 2011",

publisher = "IEEE, Institute of Electrical and Electronics Engineers",

address = "United States of America",

note = "International Workshop on Multidimensional Systems 2011, nDS 2011 ; Conference date: 05-09-2011 Through 07-09-2011",

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Zhu, Z, Yang, R, Zhang, J & Zhang, C 2011, Compressed sensing MRI by two-dimensional wavelet filter banks. in O Bachelier, K Galkowski & E Rogers (eds), 2011 7th International Workshop on Multidimensional (nD) Systems, nDS 2011: Poitiers, France; 5-7 September 2011., 6076845, IEEE, Institute of Electrical and Electronics Engineers, Piscataway NJ USA, International Workshop on Multidimensional Systems 2011, Poitiers, France, 5/09/11. https://doi.org/10.1109/nDS.2011.6076845

Compressed sensing MRI by two-dimensional wavelet filter banks. / Zhu, Zangen; Yang, Ran; Zhang, Jingxin et al.
2011 7th International Workshop on Multidimensional (nD) Systems, nDS 2011: Poitiers, France; 5-7 September 2011. ed. / O. Bachelier; K. Galkowski; E. Rogers. Piscataway NJ USA: IEEE, Institute of Electrical and Electronics Engineers, 2011. 6076845.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

TY - GEN

T1 - Compressed sensing MRI by two-dimensional wavelet filter banks

AU - Zhu, Zangen

AU - Yang, Ran

AU - Zhang, Jingxin

AU - Zhang, Cishen

N1 - Conference code: 7th

PY - 2011

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N2 - How to speed up the scanning process is the bottleneck problem of magnetic resonance imaging (MRI). As a newly developed mathematical framework of signal sampling and recovery, compressed sensing (CS) provides a solution to this problem because of its potential of reconstructing MR images from fewer samples. Recent work has demonstrated successful application of CS to MRI. However, the frequently used sparsifying transform is the traditional discrete wavelet transform, which has shortcomings, such as oscillations, lack of directionality and shift variance. This paper implements compressed sensing MRI reconstruction based on a new kind of two-dimensional wavelet filter banks which has improved directional selectivity and approximate shift invariance. Our experiments show that the method can significantly reduce aliasing and achieve higher peak signal to noise ratio (PSNR).

AB - How to speed up the scanning process is the bottleneck problem of magnetic resonance imaging (MRI). As a newly developed mathematical framework of signal sampling and recovery, compressed sensing (CS) provides a solution to this problem because of its potential of reconstructing MR images from fewer samples. Recent work has demonstrated successful application of CS to MRI. However, the frequently used sparsifying transform is the traditional discrete wavelet transform, which has shortcomings, such as oscillations, lack of directionality and shift variance. This paper implements compressed sensing MRI reconstruction based on a new kind of two-dimensional wavelet filter banks which has improved directional selectivity and approximate shift invariance. Our experiments show that the method can significantly reduce aliasing and achieve higher peak signal to noise ratio (PSNR).

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M3 - Conference Paper

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A2 - Bachelier, O.

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PB - IEEE, Institute of Electrical and Electronics Engineers

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Zhu Z, Yang R, Zhang J, Zhang C. Compressed sensing MRI by two-dimensional wavelet filter banks. In Bachelier O, Galkowski K, Rogers E, editors, 2011 7th International Workshop on Multidimensional (nD) Systems, nDS 2011: Poitiers, France; 5-7 September 2011. Piscataway NJ USA: IEEE, Institute of Electrical and Electronics Engineers. 2011. 6076845 doi: 10.1109/nDS.2011.6076845

Compressed sensing MRI by two-dimensional wavelet filter banks

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