Title
On the convergence of generalized simultaneous iterative reconstruction algorithms.
Abstract
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.
Year
DOI
Venue
2007
10.1109/TIP.2006.887725
IEEE Transactions on Image Processing
Keywords
DocType
Volume
theoretical result,weighted minimum-norm reconstruction,tomography,iterative reconstruction algorithms,convergence property,simpler proof,image reconstruction,least squares approximations,weighted least-squares,frequency domain iterative reconstruction,biomedical imaging,general class,frequency domain iterative algorithm,signal reconstruction,simultaneous block iterative reconstruction,generalized simultaneous iterative reconstruction,special application,iterative methods,medical image processing,linear rate,convergence properties,weighted least squares,frequency domain,iteration method,iterative reconstruction
Journal
16
Issue
ISSN
Citations 
1
1057-7149
17
PageRank 
References 
Authors
0.99
9
2
Name
Order
Citations
PageRank
Jiong Wang1372.33
Yibin Zheng23815.13