Statistical approach to X-ray CT imaging and its applications in image analysis. I. Statistical analysis of X-ray CT imaging

Author

Lei, Tianhu ; Sewchand, Wilfred

Author_Institution

Dept. of Radiat. Oncology, Maryland Univ., Baltimore, MD, USA

Volume

11

Issue

1

fYear

1992

fDate

3/1/1992 12:00:00 AM

Firstpage

53

Lastpage

61

Abstract

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

Keywords

computerised tomography; statistical analysis; X-ray CT imaging; autocorrelations; convolution algorithm; image Gaussianity; image analysis; medical diagnostic imaging; pixel image; projection data; reconstructed image; spatial stationary random process; stochastic image model; Application software; Computed tomography; Convolution; Gaussian processes; Image generation; Image reconstruction; Optical imaging; Pixel; Probability; X-ray imaging;

fLanguage

English

Journal_Title

Medical Imaging, IEEE Transactions on

Publisher

ieee

ISSN

0278-0062

Type

jour

DOI

10.1109/42.126910

Filename

126910