TY - JOUR
T1 - Exponential wavelet iterative shrinkage thresholding algorithm with random shift for compressed sensing magnetic resonance imaging
AU - Zhang, Yudong
AU - Wang, Shuihua
AU - Ji, Genlin
AU - Dong, Zhengchao
N1 - Publisher Copyright:
© 2014 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - We propose the use of exponent of wavelet transform (EWT) coefficients as a sparse representation which is combined with the iterative shrinkage/threshold algorithm (ISTA) for the reconstruction of compressed sensing magnetic resonance imaging. In addition, random shifting (RS) is employed to guarantee the translation invariance property of discrete wavelet transform. The proposed method is termed the exponential wavelet iterative shrinkage/threshold algorithm with random shifting (EWISTARS), which takes advantages of the sparse representation of EWT, the simplicity of ISTA, and the translation invariance of RS. Simulation results on brain, vertebrae, and knee MR images demonstrate that EWISTARS is superior to existing algorithms with regard to reconstruction quality and computation time.
AB - We propose the use of exponent of wavelet transform (EWT) coefficients as a sparse representation which is combined with the iterative shrinkage/threshold algorithm (ISTA) for the reconstruction of compressed sensing magnetic resonance imaging. In addition, random shifting (RS) is employed to guarantee the translation invariance property of discrete wavelet transform. The proposed method is termed the exponential wavelet iterative shrinkage/threshold algorithm with random shifting (EWISTARS), which takes advantages of the sparse representation of EWT, the simplicity of ISTA, and the translation invariance of RS. Simulation results on brain, vertebrae, and knee MR images demonstrate that EWISTARS is superior to existing algorithms with regard to reconstruction quality and computation time.
KW - Compressed sensing
KW - Discrete wavelet transform
KW - Magnetic resonance imaging
UR - http://www.scopus.com/inward/record.url?scp=84919414956&partnerID=8YFLogxK
U2 - 10.1002/tee.22059
DO - 10.1002/tee.22059
M3 - Article
AN - SCOPUS:84919414956
SN - 1931-4973
VL - 10
SP - 116
EP - 117
JO - IEEJ Transactions on Electrical and Electronic Engineering
JF - IEEJ Transactions on Electrical and Electronic Engineering
IS - 1
ER -