| Title | Convergence of the simultaneous algebraic reconstruction technique (SART) |
| Authors | Jiang, Ming Wang, Ge |
| Affiliation | Department of Information Science, School of Mathematics, Peking University, Beijing 100871, China |
| Issue Date | 2001 |
| Citation | 35th Asilomar Conference on Signals, Systems and Computers.Pacific Grove, CA, United states,1(360-364). |
| Abstract | In 1984, the simultaneous algebraic reconstruction technique (SART) was developed as a major refinement of the algebraic reconstruction technique (ART). Since then, the SART approach remains a powerful tool for iterative image reconstruction. However, the convergence of the SART has never been established. In this paper, this long-standing conjecture is proven under the condition that coefficients of the linear imaging system are non-negative. It is shown that from any initial value the sequence generated by the SART converges to a weighted least square solution. The importance of the SART and several relevant issues are also discussed. |
| URI | http://hdl.handle.net/20.500.11897/412649 |
| DOI | 10.1109/ACSSC.2001.986951 |
| Indexed | EI |
| Appears in Collections: | 信息科学技术学院 |
