Title : 
Fast Reconstruction for Sparse MR Images in Compressed Sensing
         
        
            Author : 
Yonggui Zhu ; Xiaoman Liu
         
        
            Author_Institution : 
Sch. of Sci., Commun. Univ. of China, Beijing, China
         
        
        
        
        
        
            Abstract : 
In this paper, we apply TV sparsifying MR image reconstruction method proposed in [ Y. G. Zhu and X. L. Yang, Journal of Signal and Information Processing, 2 (2011), pp. 44-51] to compressed sensing MRI model with wavelet sparsity. The fast method to reconstruct MR images with wavelet sparsity in compressed sensing is presented. This approach can exactly reconstruct the MR image from the partial Fourier data. The convergence of the fast method is analyzed. Some MR images are employed to test in the numerical experiments, and the results demonstrate that this method is very efficient in the reconstruction of MR images.
         
        
            Keywords : 
Fourier transforms; biomedical MRI; compressed sensing; image reconstruction; medical image processing; wavelet transforms; TV; compressed sensing; numerical experiments; partial Fourier data; sparse MR image reconstruction; wavelet sparsity; Compressed sensing; Convergence; Educational institutions; Image reconstruction; Magnetic resonance imaging; Phantoms; Signal to noise ratio; Compressed Sensing; Image Reconstruction; Magnetic Resonance Image; Wavelet Transform;
         
        
        
        
            Conference_Titel : 
Image and Graphics (ICIG), 2013 Seventh International Conference on
         
        
            Conference_Location : 
Qingdao
         
        
        
            DOI : 
10.1109/ICIG.2013.8