Reconstruction of emission tomography data using origin ensembles.
Reconstruction of emission tomography data using origin ensembles.
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DOI：
10.1109/tmi.2010.2098036
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发表时间：
2011-04
影响因子：
10.6
通讯作者：
Sitek A
中科院分区：
文献类型：
--
作者：
Sitek A
研究了一种基于原点集成(OE)的发射层析成像(ET)统计重建方法。使用从第一原理导出的概率密度函数(PDF)，确定每个体素的检测到的事件起源的数目的集合期望。这些数字除以体素的敏感度和采集时间，得到体素活动的OE估计。OE期望值与使用完整数据空间计算的期望值相同。对OE估计的性质进行了检验。结果表明，对于实际应用中的发射层析成像条件，OE估计近似于最大似然(ML)估计。三个日益复杂的数值实验被用来验证理论结果，并证明了最大似然估计和最大似然估计的相似性。提供了提高OE重建的准确性和速度的建议。
A new statistical reconstruction method based on origin ensembles (OE) for emission tomography (ET) is examined. Using a probability density function (pdf) derived from first principles, an ensemble expectation of numbers of detected event origins per voxel is determined. These numbers divided by sensitivities of voxels and acquisition time provide OE estimates of the voxel activities. The OE expectations are shown to be the same as expectations calculated using the complete–data space. The properties of the OE estimate are examined. It is shown that OE estimate approximates maximum likelihood (ML) estimate for conditions usually achieved in practical applications in emission tomography. Three numerical experiments with increasing complexity are used to validate theoretical findings and demonstrate similarities of ML and OE estimates. Recommendations for achieving improved accuracy and speed of OE reconstructions are provided.