On the convergence of generalized simultaneous iterative reconstruction algorithms

被引：20
|
作者：
Wang, Jiong [1 ]
Zheng, Yibin [1 ]
机构：
[1] Univ Virginia, Dept Elect & Comp Engn, Charlottesville, VA 22904 USA
来源：
IEEE TRANSACTIONS ON IMAGE PROCESSING | 2007年 / 16卷 / 01期
关键词：
biomedical imaging; image reconstruction; iterative methods; signal reconstruction; tomography;
D O I：
10.1109/TIP.2006.887725
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we generalize the widely used simultaneous block iterative reconstruction algorithm and show that it converges, at a linear rate, to a weighted least-squares and weighted minimum-norm reconstruction. Our theoretical result provides a much simpler proof of the convergence properties obtained by Jiang and Wang and covers a much more general class of algorithms. The frequency domain iterative reconstruction algorithm is then introduced as a special application of our theory.
引用
收藏
页码：1 / 6
页数：6
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