Barrett Harrison H, Myers Kyle J
College of Optical Sciences and Department of Radiology University of Arizona, Tucson AZ 85724.
Proc SPIE Int Soc Opt Eng. 2007 Jan 1;6510:651002. doi: 10.1117/12.716908.
This paper surveys our current understanding of the statistical properties of radiological images and their effect on image quality. Attention is given to statistical descriptions needed to compute the performance of ideal or ideal-linear observers on detection and estimation tasks. The effects of measurement noise, random objects and random imaging system are analyzed by nested conditional averaging, leading to a three-term expansion of the data covariance matrix. Characteristic functionals are introduced to account for the object statistics, and it is shown how they can be used to compute the image statistics.
本文综述了我们目前对放射图像统计特性及其对图像质量影响的理解。重点关注计算理想或理想线性观察者在检测和估计任务中的性能所需的统计描述。通过嵌套条件平均分析了测量噪声、随机物体和随机成像系统的影响，从而得到数据协方差矩阵的三项展开式。引入特征泛函来考虑物体统计特性，并展示了如何用它们来计算图像统计特性。
