Affiliations: School of Mathematics, Peking University, Beijing
100871, China. E-mail: jiangm@math.pku.edu.cn; URL:
http://ct.radiology.uiowa.edu/˜jiangm | Department of Radiology, University of Iowa, Iowa
City, IA 52242, USA. E-mail: ge-wang@ieee.org; URL:
http://dolphin.radiology.uiowa.edu/ge
Note: [] Corresponding author: Ming Jiang, PhD, School of Mathematics,
Peking University, 5 Summer Palace Street, Beijing 100871, China. Tel.: +86 10
6275 6797; Fax: +86 10 6275 1801; E-mail: jiangm@ct.radiology.uiowa.edu or
jiangm@math.pku.edu.cn; URL: http://ct.radiology.uiowa.edu/˜jiangm/
Abstract: The iterative approach is important for computed tomography (CT) and
attracting more and more attention with the rapid evolution of computer
technology. In this paper, classic results and recent advances on iterative
algorithms for image reconstruction are reviewed, with an emphasis on the
ART-like and EM-like algorithms in both of their simultaneous and
ordered-subset formats. The following issues are discussed: what the
computational structures are, under what conditions the algorithms converge,
what the final limits are, what the relaxation strategies we have, how the
final limits depend on the initial guesses, and so on. In addition, heuristic
arguments are given for the SART and EM algorithms for understanding the
algorithms. Finally, future research directions are discussed, along with
guidelines for practical applications of iterative algorithms.
