Statistical Approach to X-ray CT and Its Applications in Image Analysis

Tianhu Lei; Wilfred Sewchand

doi:10.1117/12.953233

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1 May 1989 Statistical Approach to X-ray CT and Its Applications in Image Analysis

Tianhu Lei, Wilfred Sewchand

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Proceedings Volume 1090, Medical Imaging III: Image Formation; (1989) https://doi.org/10.1117/12.953233
Event: Medical Imaging III, 1989, Newport Beach, CA, United States

Abstract

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.

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Tianhu Lei and Wilfred Sewchand "Statistical Approach to X-ray CT and Its Applications in Image Analysis", Proc. SPIE 1090, Medical Imaging III: Image Formation, (1 May 1989); https://doi.org/10.1117/12.953233

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