Title :
An improved TV minimization algorithm for incomplete data problem in computer tomography
Author :
Xue, Hui ; Zhang, Li ; Cheng, Zhiqiang ; Xing, Yuxiang ; Xiao, Yongshun
Author_Institution :
Dept. of Eng. Phys., Tsinghua Univ., Beijing, China
fDate :
Oct. 30 2010-Nov. 6 2010
Abstract :
Total variation (TV) minimization algorithm is widely used for solving incomplete data problems in computer tomography. Based on the POCS-TV method, we propose a new scheme of TV minimization algorithm, B-POCS-TV-β, which is similar to the Bregman iteration in the sense of “adding the residual back”. Numerical simulations are implemented with few-view and limited-angle problems. We compare the reconstruction error and image quality of B-POCS-TV-β and POCS-TV. B-POCS-TV-β improves the convergence speed a lot. Fewer iterations are needed to obtain the same accuracy.
Keywords :
computerised tomography; image reconstruction; iterative methods; medical image processing; minimisation; B-POCS-TV-β; Bregman iteration; POCS-TV method; TV minimization algorithm; computer tomography; convergence speed; image quality; incomplete data problem; reconstruction error; total variation; Computed tomography; Convergence; Image reconstruction; Minimization; Optimization; TV; B-POCS-TV-β; Computer tomography (CT); POCS-TV; TV minimization; few-view; limited-angle;
Conference_Titel :
Nuclear Science Symposium Conference Record (NSS/MIC), 2010 IEEE
Conference_Location :
Knoxville, TN
Print_ISBN :
978-1-4244-9106-3
DOI :
10.1109/NSSMIC.2010.5874264
