Kay J
Department of Mathematics and Statistics, University of Stirling, UK.
Stat Methods Med Res. 1994;3(1):5-21. doi: 10.1177/096228029400300102.
This article outlines the statistical developments that have taken place in emission tomography during the past decade or so. We discuss the statistical aspects of the modelling of the projection data and define the additive Poisson regression model. This leads to the use of the method of maximum likelihood as a means of estimating the underlying isotope concentration within a given region of a patient's body, and to the use of the EM algorithm to compute the reconstruction. The need for the regulation of the maximum likelihood solution is tackled using Bayesian techniques. A number of algorithms for the computation of regularized solutions are outlined. The issue of parameter estimation is discussed and some open issues are mentioned.
本文概述了过去十年左右发射断层扫描领域的统计进展。我们讨论了投影数据建模的统计方面，并定义了加性泊松回归模型。这导致使用最大似然法作为估计患者身体给定区域内潜在同位素浓度的一种手段，并使用期望最大化（EM）算法进行重建计算。利用贝叶斯技术解决了对最大似然解进行正则化的需求。概述了一些用于计算正则化解的算法。讨论了参数估计问题，并提及了一些未解决的问题。
