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

fYear

2010

fDate

Oct. 30 2010-Nov. 6 2010

Firstpage

2621

Lastpage

2624

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Nuclear Science Symposium Conference Record (NSS/MIC), 2010 IEEE

Conference_Location

Knoxville, TN

ISSN

1095-7863

Print_ISBN

978-1-4244-9106-3

Type

conf

DOI

10.1109/NSSMIC.2010.5874264

Filename

5874264