Choosing parameters in block-iterative or ordered subset reconstruction algorithms.

Choosing parameters in block-iterative or ordered subset reconstruction algorithms.
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在块迭代或有序子集重建算法中选择参数。

DOI:
10.1109/tip.2004.841193
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发表时间:
2005
期刊:
IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
影响因子:
--
通讯作者:
Byrne,Charles
Byrne,Charles
中科院分区:
--
文献类型:
--
作者:
Byrne,Charles

文献摘要

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Viewed abstractly, all the algorithms considered here are designed to provide a nonnegative solution x to the system of linear equations y=Px, where y is a vector with positive entries and P a matrix whose entries are nonnegative and with no purely zero columns. The expectation maximization maximum likelihood method, as it occurs in emission tomography, and the simultaneous multiplicative algebraic reconstruction technique are slow to converge on large data sets; accelerating convergence through the use of block-iterative or ordered subset versions of these algorithms is a topic of considerable interest. These block-iterative versions involve relaxation and normalization parameters, the correct selection of which may not be obvious to all users. The algorithms are not faster merely by virtue of being block-iterative; the correct choice of the parameters is crucial. Through a detailed discussion of the theoretical foundations of these methods, we come to a better understanding of the precise roles these parameters play.