The physical and mathematical problems of X-ray computed tomography (CT) imaging have been extensively studied during the past two decades. This paper presents a statistical description of X-ray CT imaging. The asymptotic Gaussianity of the pixel image generated by convolution algorithm is proved. The conditions for the two pixel images to be statistically independent and the conditions for a group of pixel images to be a spatial stationary random process and ergodic in mean and autocorrelation are derived. These properties provide the basis for the statistical image analysis of X-ray CT image, which is briefly described in the last section of this paper.

Date Published: 1 May 1989
PDF: 15 pages
Proc. SPIE 1090, Medical Imaging III: Image Formation, (1 May 1989); doi: 10.1117/12.953233

Published in SPIE Proceedings Vol. 1090:
Medical Imaging III: Image Formation
Samuel J. Dwyer III; R. Gilbert Jost M.D.; Roger H. Schneider, Editor(s)