Sparse Constrained Reconstruction for Accelerating Parallel Imaging Based on Variable Splitting Method
Figure 2
Reconstructed images from noise-free undersampling MR data for the simulated parallel MRI, where the undersampling rate is 4, which is the maximum of AF at theory. The top three images are, respectively, reconstructed by GEM method, CG method, and the proposed method as (9), which is solved by the algorithm referred to in Section 3.4. The bottom three images are the difference profiles between the above three reconstructed images and the reference image.
(a) Reconstruction Image by GEM
(b) Reconstruction Image based on CG
(c) Sparse Constrained Reconstruction Image
(d) Difference profile between reconstructed reference image