Improved l1-SPIRiT using 3D walsh transform-based sparsity basis.
l1-SPIRiT is a fast magnetic resonance imaging (MRI) method which combines parallel imaging (PI) with compressed sensing (CS) by performing a joint l1-norm and l2-norm optimization procedure. The original l1-SPIRiT method uses two-dimensional (2D) Wavelet transform to exploit the intra-coil data redundancies and a joint sparsity model to exploit the inter-coil data redundancies. In this work, we propose to stack all the coil images into a three-dimensional (3D) matrix, and then a novel 3D Walsh transform-based sparsity basis is applied to simultaneously reduce the intra-coil and inter-coil data redundancies. Both the 2D Wavelet transform-based and the proposed 3D Walsh transform-based sparsity bases were investigated in the l1-SPIRiT method. The experimental results show that the proposed 3D Walsh transform-based l1-SPIRiT method outperformed the original l1-SPIRiT in terms of image quality and computational efficiency.
School of Software Technology, Dalian University of Technology, Dalian 116620, P. R. China.
Zhen
Z
Feng
School of Information Technology and Electrical Engineering, The University of Queensland, St Lucia, QLD 4072, Australia. Electronic address: feng@itee.uq.edu.au.
Feng
F
Liu
School of Information Science and Technology, Zhejiang Sci-Tech University, Hangzhou 310018, P. R. China.
Mingfeng
M
Jiang
School of Information Technology and Electrical Engineering, The University of Queensland, St Lucia, QLD 4072, Australia.
Stuart
S
Crozier
School of Software Technology, Dalian University of Technology, Dalian 116620, P. R. China.
He
H
Guo
School of Computer Science and Technology, Dalian University of Technology, Dalian 116624, P. R. China.
Yuxin
Y
Wang
D000465:Algorithms; D001921:Brain / Q000033:anatomy & histology*; D044962:Data Compression / Q000379:methods*; D006801:Humans; D007089:Image Enhancement / Q000379:methods; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D008279:Magnetic Resonance Imaging / Q000379:methods*; D009716:Numerical Analysis, Computer-Assisted; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity
Compressed Sensing; MRI; Walsh transform; l1-SPIRiT