Statistical approach to X-ray CT imaging and its applications in image analysis. I. Statistical analysis of X-ray CT imaging
- 1 March 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Medical Imaging
- Vol. 11 (1) , 53-61
- https://doi.org/10.1109/42.126910
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
This publication has 6 references indexed in Scilit:
- Bayesian image processing of data from constrained source distributions—I. non-valued, uncorrelated and correlated constraintsBulletin of Mathematical Biology, 1987
- A Maximum a Posteriori Probability Expectation Maximization Algorithm for Image Reconstruction in Emission TomographyIEEE Transactions on Medical Imaging, 1987
- Reconstruction algorithms: Transform methodsProceedings of the IEEE, 1983
- Physical problems of computerized tomographyProceedings of the IEEE, 1983
- Mathematical problems of computerized tomographyProceedings of the IEEE, 1983
- Finite series-expansion reconstruction methodsProceedings of the IEEE, 1983