Title :
On the Convergence of Generalized Simultaneous Iterative Reconstruction Algorithms
Author :
Wang, Jiong ; Zheng, Yibin
Author_Institution :
Dept. of Electr. & Comput. Eng, Virginia Univ., Charlottesville, VA
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
Keywords :
image reconstruction; iterative methods; least squares approximations; medical image processing; biomedical imaging; convergence properties; frequency domain iterative algorithm; iterative reconstruction algorithms; weighted least-squares; weighted minimum-norm reconstruction; Computed tomography; Convergence; Frequency domain analysis; Image reconstruction; Iterative algorithms; Iterative methods; Partitioning algorithms; Reconstruction algorithms; Size measurement; Subspace constraints; Biomedical imaging; image reconstruction; iterative methods; signal reconstruction; tomography; Algorithms; Image Enhancement; Image Interpretation, Computer-Assisted; Imaging, Three-Dimensional; Information Storage and Retrieval; Reproducibility of Results; Sensitivity and Specificity;
Journal_Title :
Image Processing, IEEE Transactions on
DOI :
10.1109/TIP.2006.887725
