MR imaging statistics and its application in image modeling

Yue Joseph Wang; Tianhu Lei; Wilfred Sewchand; Seong Ki Mun

doi:10.1117/12.237834

11 April 1996 MR imaging statistics and its application in image modeling

Yue Joseph Wang, Tianhu Lei, Wilfred Sewchand, Seong Ki Mun

Proceedings Volume 2708, Medical Imaging 1996: Physics of Medical Imaging; (1996) https://doi.org/10.1117/12.237834
Event: Medical Imaging 1996, 1996, Newport Beach, CA, United States

Abstract

This paper presents a new framework on a complete statistical description of MR imaging and its application in image modeling. Particular studies include object variability and thermal noise, statistical properties of pixel images, and stochastic regularities of context images. Six stochastic properties (Gaussianity, stationarity, dependence, ergodicity, Markovian property, inhomogeneity) are justified to form the basis for establishing the stochastic image models. The application of these properties to both pixel image modeling (standard finite normal mixture) and context image modeling (Markov random field) is discussed mathematically. The correct use of the statistical models in image analysis is verified in terms of new observations, theorems, and interpretations.

Citation Download Citation

Yue Joseph Wang, Tianhu Lei, Wilfred Sewchand, and Seong Ki Mun "MR imaging statistics and its application in image modeling", Proc. SPIE 2708, Medical Imaging 1996: Physics of Medical Imaging, (11 April 1996); https://doi.org/10.1117/12.237834

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