Toeplitz random encoding mr imaging using compressed sensing

Dong Liang; Guangwu Xu; Haifeng Wang; Kevin F. King; Dan Xu; Leslie Ying

doi:10.1109/ISBI.2009.5193036

Toeplitz random encoding mr imaging using compressed sensing

Dong Liang
, Guangwu Xu
, Haifeng Wang
, Kevin F. King
, Dan Xu
, Leslie Ying

Department of Biomedical Engineering

University of Wisconsin-Milwaukee
GE Healthcare United States

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

22 Scopus citations

Abstract

Compressed Sensing (CS), as a new framework for data acquisition and signal recovery, has been applied to accelerate conventional magnetic resonance imaging (MRI) with Fourier encoding. However, Fourier encoding is not universal and weakly spreads out the energy of most natural images. This limits the achievable reduction factors. In this paper, we propose a Toeplitz random encoding method that is universal and spreads out the image energy more evenly. The MR physical feasibility of the proposed encoding method is verified by Bloch simulation, and the superior performance of the proposed method is demonstrated in simulation results.

Original language	English
Title of host publication	Proceedings - 2009 IEEE International Symposium on Biomedical Imaging
Subtitle of host publication	From Nano to Macro, ISBI 2009
Pages	270-273
Number of pages	4
DOIs	https://doi.org/10.1109/ISBI.2009.5193036
State	Published - 2009
Event	2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009 - Boston, MA, United States Duration: Jun 28 2009 → Jul 1 2009

Publication series

Name	Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009

Conference

Conference	2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009
Country/Territory	United States
City	Boston, MA
Period	06/28/09 → 07/1/09

Keywords

Compressed Sensing
Fourier encoding
Magnetic resonance imaging
Toeplitz random encoding

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10.1109/ISBI.2009.5193036

Cite this

Liang, D., Xu, G., Wang, H., King, K. F., Xu, D., & Ying, L. (2009). Toeplitz random encoding mr imaging using compressed sensing. In Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009 (pp. 270-273). Article 5193036 (Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009). https://doi.org/10.1109/ISBI.2009.5193036

@inproceedings{a66e531ac1234519bf75510221ca56cf,

title = "Toeplitz random encoding mr imaging using compressed sensing",

abstract = "Compressed Sensing (CS), as a new framework for data acquisition and signal recovery, has been applied to accelerate conventional magnetic resonance imaging (MRI) with Fourier encoding. However, Fourier encoding is not universal and weakly spreads out the energy of most natural images. This limits the achievable reduction factors. In this paper, we propose a Toeplitz random encoding method that is universal and spreads out the image energy more evenly. The MR physical feasibility of the proposed encoding method is verified by Bloch simulation, and the superior performance of the proposed method is demonstrated in simulation results.",

keywords = "Compressed Sensing, Fourier encoding, Magnetic resonance imaging, Toeplitz random encoding",

author = "Dong Liang and Guangwu Xu and Haifeng Wang and King, \{Kevin F.\} and Dan Xu and Leslie Ying",

year = "2009",

doi = "10.1109/ISBI.2009.5193036",

language = "English",

isbn = "9781424439324",

series = "Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009",

pages = "270--273",

booktitle = "Proceedings - 2009 IEEE International Symposium on Biomedical Imaging",

note = "2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009 ; Conference date: 28-06-2009 Through 01-07-2009",

}

Liang, D, Xu, G, Wang, H, King, KF, Xu, D & Ying, L 2009, Toeplitz random encoding mr imaging using compressed sensing. in Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009., 5193036, Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009, pp. 270-273, 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009, Boston, MA, United States, 06/28/09. https://doi.org/10.1109/ISBI.2009.5193036

Toeplitz random encoding mr imaging using compressed sensing. / Liang, Dong; Xu, Guangwu; Wang, Haifeng et al.
Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009. 2009. p. 270-273 5193036 (Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Toeplitz random encoding mr imaging using compressed sensing

AU - Liang, Dong

AU - Xu, Guangwu

AU - Wang, Haifeng

AU - King, Kevin F.

AU - Xu, Dan

AU - Ying, Leslie

PY - 2009

Y1 - 2009

N2 - Compressed Sensing (CS), as a new framework for data acquisition and signal recovery, has been applied to accelerate conventional magnetic resonance imaging (MRI) with Fourier encoding. However, Fourier encoding is not universal and weakly spreads out the energy of most natural images. This limits the achievable reduction factors. In this paper, we propose a Toeplitz random encoding method that is universal and spreads out the image energy more evenly. The MR physical feasibility of the proposed encoding method is verified by Bloch simulation, and the superior performance of the proposed method is demonstrated in simulation results.

AB - Compressed Sensing (CS), as a new framework for data acquisition and signal recovery, has been applied to accelerate conventional magnetic resonance imaging (MRI) with Fourier encoding. However, Fourier encoding is not universal and weakly spreads out the energy of most natural images. This limits the achievable reduction factors. In this paper, we propose a Toeplitz random encoding method that is universal and spreads out the image energy more evenly. The MR physical feasibility of the proposed encoding method is verified by Bloch simulation, and the superior performance of the proposed method is demonstrated in simulation results.

KW - Compressed Sensing

KW - Fourier encoding

KW - Magnetic resonance imaging

KW - Toeplitz random encoding

UR - https://www.scopus.com/pages/publications/70449420088

U2 - 10.1109/ISBI.2009.5193036

DO - 10.1109/ISBI.2009.5193036

M3 - Conference contribution

AN - SCOPUS:70449420088

SN - 9781424439324

T3 - Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009

SP - 270

EP - 273

BT - Proceedings - 2009 IEEE International Symposium on Biomedical Imaging

T2 - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009

Y2 - 28 June 2009 through 1 July 2009

ER -

Liang D, Xu G, Wang H, King KF, Xu D, Ying L. Toeplitz random encoding mr imaging using compressed sensing. In Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009. 2009. p. 270-273. 5193036. (Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009). doi: 10.1109/ISBI.2009.5193036

Toeplitz random encoding mr imaging using compressed sensing

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