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On the Convergence of Generalized Simultaneous Iterative Reconstruction Algorithms
Jiong Wang; Yibin Zheng;
Image Processing, IEEE Transactions on
Volume 16,
Issue 1,
Jan. 2007
Page(s):1
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6
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
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