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IEEE Trans Image Process. 2007 Jan;16(1):1-6.

On the convergence of generalized simultaneous iterative reconstruction algorithms.

Author information

1
Department of Electrical and Computer Engineering, University of Virginia, Charlottesville 22904, USA. jiongwang@virginia.edu

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.

PMID:
17283760
[Indexed for MEDLINE]
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