Abstract #3411
A fast algorithm for tight frame-based nonlocal transform in compressed sensing MRI
Xiaobo Qu 1 , Yunsong Liu 1 , Jing Ye 1 , Di Guo 2 , Zhifang Zhan 1 , and Zhong Chen 1
1
Department of Electronic Science, Xiamen
University, Xiamen, Fujian, China,
2
School
of Computer and Information Engineering, Xiamen
University of Technology, Xiamen, Fujian, China
Compressed sensing magnetic resonance imaging (CS-MRI)
is to reconstruct MR images from undersampled k-space
data by enforcing the sparsity of MR images. Patch-based
nonlocal operator (PANO) is proposed as a linear
operator to exploit the nonlocal self-similarity of MR
images to further sparsify them. However, the original
PANO is a frame and its numerical algorithm for CS-MRI
problem is solved by the alternating direction
minimization with continuation (ADMC). These two aspects
lead the reconstruction to be time consuming. In this
work, we first convert the PANO into a tight frame, and
then applied the alternating direction method of
multipliers (ADMM) algorithm to accelerate the image
reconstruction. The empirical convergence demostrates
that the new approach significantly accelerate the image
reconstruction in compressed sensing MRI and can
accomplish the reconstruction of one 256256 within
several seconds.
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