Cone beam CT image iterative reconstruction based on Split-Bregman method
	    		
		   		
		   			
		   		
	    	
    	 
    	10.3969/j.issn.1673-4254.2014.06.06
   		
        
        	
        		- VernacularTitle:一种基于分裂Bregman方法求解的锥束CT图像迭代重建
 
        	
        	
        	
        		- Author:
	        		
		        		
		        		
			        		Liu YANG
			        		
			        		
			        		
			        			1
			        			
			        		
			        		
			        		
			        		
			        		;
		        		
		        		
		        		
			        		Hongliang QI
			        		
			        		;
		        		
		        		
		        		
			        		Yuan XU
			        		
			        		;
		        		
		        		
		        		
			        		Xin ZHEN
			        		
			        		;
		        		
		        		
		        		
			        		Wenting LU
			        		
			        		;
		        		
		        		
		        		
			        		Linghong ZHOU
			        		
			        		
		        		
		        		
		        		
		        		
		        			
			        		
			        		Author Information
			        		
		        		
		        		
			        		
			        		
			        			1. 南方医科大学生物医学工程学院医疗仪器研究所
			        		
		        		
	        		
        		 
        	
        	
        	
        	
        		- Keywords:
        			
	        			
	        				
	        				
			        		
				        		cone beam CT image reconstruction;
			        		
			        		
			        		
				        		split Bregman;
			        		
			        		
			        		
				        		tight frame shrink;
			        		
			        		
			        		
				        		compressed sensing
			        		
			        		
	        			
        			
        		
 
        	
            
            
            	- From:
	            		
	            			Journal of Southern Medical University
	            		
	            		 2014;(6):783-786
	            	
            	
 
            
            
            	- CountryChina
 
            
            
            	- Language:Chinese
 
            
            
            	- 
		        	Abstract:
			       	
			       		
				        
				        	Objective We propose a new iterative reconstruction method based on split-Bregman method with tight frame regularization for effective and accurate reconstruction of the sparse-view cone beam CT image. Methods A tight frame was chosen as the regularization term for the objective function, so that the image reconstruction involves only the minimization of an objective function according to the compressed sensing theory. We utilized the split-Bregman method to tackle the task of minimization in three steps:(1) a fast calculation of the forward projection matrix;(2) introducing an intermediate variable to transform the non-differentiated L1 regularization term into the differentiated L2 regularization problem, and solving the target function using conjugate-gradient method; (3) updating the intermediate variable using shrinkage formula from Bregman method. Results Digital and physical phantom experimental results suggested that our new approach had great advantages in terms of image quality, reconstruction time, and applicability. Conclusion The proposed method can accurately reconstruct CBCT image with limited data to lower the X-ray dose and accelerate the calculation speed in comparison with the POCS method.