Dept. of Radiat. Oncology, Maryland Univ., Baltimore, MD.
IEEE Trans Med Imaging. 1992;11(1):53-61. doi: 10.1109/42.126910.
A statistical description of X-ray CT (computerized tomography) imaging, from the projection data to the reconstructed image, is presented. The Gaussianity of the pixel image generated by the convolution (image reconstruction) algorithm is justified. The conditions for two pixel images to be statistically independent (for a given probability) and the conditions for a group of pixel images to be a spatial stationary random process and ergodic in mean and autocorrelations are derived. These properties provide the basis for establishing the stochastic image model and conducting the statistical image analysis of X-ray CT images.
介绍了 X 射线 CT（计算机层析成像）成像的统计描述，从投影数据到重建图像。证明了卷积（图像重建）算法生成的像素图像的高斯性。推导了两个像素图像在给定概率下统计独立的条件，以及一组像素图像在均值和自相关方面是空间平稳随机过程和遍历的条件。这些性质为建立随机图像模型和进行 X 射线 CT 图像的统计图像分析提供了基础。
