Abstract #3417
            Partial discreteness: a new type of prior knowledge for MRI reconstruction
                      Gabriel Ramos-Llordn                     1                    , Hilde Segers                     1                    , 						Willem Jan Palenstijn                     1                    , Arnold J. den Dekker                     1,2                    , 						and Jan Sijbers                     1          
            
            1
           
           iMinds Vision-Lab, University of Antwerp, 
						Antwerp, Antwerp, Belgium,
           
            2
           
           Delft 
						Center for Systems and Control, Delft University of 
						Technology, Delft, Netherlands
          
            
          In MRI reconstruction, undersampled data sets lead to 
						ill-posed reconstruction problems. To regularize these 
						problems, prior knowledge is commonly exploited. In this 
						work, we introduce a new type of prior knowledge, 
						partial discreteness, where part of the image is assumed 
						to be homogeneous and can be well represented by a 
						constant magnitude. We introduce this prior in the 
						common algebraic reconstruction problem and propose an 
						iterative algorithm to approximately solve it. It 
						combines a penalized least squares reconstruction with 
						an internal Bayesian segmentation. Results with 
						synthetic data demonstrate that more detailedly restored 
						images are obtained when partial discreteness is 
						exploited
         
				
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