14 September 1993 Segmentation of magnetic resonance images into n(0, sigma) stationary regions
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Recall that a random field X(t1 ,t2) = X(t) over R2 is called hornogenous when its mean value (X(t)) = in (1) is a constant, while its core1ation function (X(t1),X(t2)) = B(t1,t2) depends only on the vector 'r t1 — t2, whence B(t1,t2) = B(ti — t2) (2) Absolute precision would require that a random field satisfying (1) and (2) be referred to as a widesense homogeneous random field, since it is not difficult to define strictly homogeneous random fields, which are coiiceptually related to the usual strictly stationary random process[1]. In the following, the term homogeneous field should be taken to mean wide-sense homogeneous field. Sometimes, imaging literature will interchange the terms stationary and homogeneous[2]. This is unfortunate but unavoidable in an imaging context.
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Ian R. Greenshields, A. Zoe Leibowitz, Francis DiMario, Gale Ramsby, "Segmentation of magnetic resonance images into n(0, sigma) stationary regions", Proc. SPIE 1898, Medical Imaging 1993: Image Processing, (14 September 1993); doi: 10.1117/12.154566; https://doi.org/10.1117/12.154566

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