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Proceedings Paper

Segmentation of magnetic resonance images into n(0, sigma) stationary regions
Author(s): Ian R. Greenshields; A. Zoe Leibowitz; Francis DiMario; Gale Ramsby
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Paper Abstract

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.

Paper Details

Date Published: 14 September 1993
PDF: 5 pages
Proc. SPIE 1898, Medical Imaging 1993: Image Processing, (14 September 1993); doi: 10.1117/12.154566
Show Author Affiliations
Ian R. Greenshields, Univ. of Connecticut (United States)
A. Zoe Leibowitz, Central Connecticut State Univ. (United States)
Francis DiMario, Univ. of Connecticut (United States)
Gale Ramsby, Univ. of Connecticut (United States)

Published in SPIE Proceedings Vol. 1898:
Medical Imaging 1993: Image Processing
Murray H. Loew, Editor(s)

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