ACCELERATED IMAGE-RECONSTRUCTION USING ORDERED SUBSETS OF PROJECTION DATA
ACCELERATED IMAGE-RECONSTRUCTION USING ORDERED SUBSETS OF PROJECTION DATA
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DOI：
10.1109/42.363108
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发表时间：
1994-12-01
影响因子：
10.6
通讯作者：
LARKIN, RS
中科院分区：
文献类型：
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作者：
HUDSON, HM;LARKIN, RS
我们定义了有序子集处理的标准算法（如期望最大化，EM）从投影图像恢复。有序子集方法将投影数据分组为子集（或块）的有序序列。有序子集EM的迭代被定义为单次通过所有子集，在每个子集中使用当前估计来初始化具有该数据子集的EM应用。这种方法在概念上类似于Eggermont等人[1]提出的用于迭代重建的块Kaczmarz方法。同时迭代重建（SIRT）和乘法代数重建（MART）技术是众所周知的特殊情况。有序子集EM（OS-EM）提供了一个恢复施加一个自然的积极性条件，并与EM算法的密切联系。OS-EM适用于单光子（SPECT）和正电子发射断层扫描（PET）。在SPECT中的模拟研究中，OS-EM算法提供了超过EM的数量级加速，并且保持了恢复质量。
We define ordered subset processing for standard algorithms (such as Expectation Maximization, EM) for image restoration from projections. Ordered subsets methods group projection data into an ordered sequence of subsets (or blocks). An iteration of ordered subsets EM is defined as a single pass through all the subsets, in each subset using the current estimate to initialize application of EM with that data subset. This approach is similar in concept to block-Kaczmarz methods introduced by Eggermont et al. [1] for iterative reconstruction. Simultaneous iterative reconstruction (SIRT) and multiplicative algebraic reconstruction (MART) techniques are well known special cases. Ordered subsets EM (OS-EM) provides a restoration imposing a natural positivity condition and with close links to the EM algorithm. OS-EM is applicable in both single photon (SPECT) and positron emission tomography (PET). In simulation studies in SPECT, the OS-EM algorithm provides an order-of-magnitude acceleration over EM, with restoration quality maintained.