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Parallel magnetic resonance imaging using the GRAPPA operator formalism

✍ Scribed by Mark A. Griswold; Martin Blaimer; Felix Breuer; Robin M. Heidemann; Matthias Mueller; Peter M. Jakob

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
147 KB
Volume
54
Category
Article
ISSN
0740-3194

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✦ Synopsis

Abstract

In this article it is shown that GRAPPA reconstruction can be reformulated as a matrix operator, similar to ladder or propagator operators used in quantum mechanics, that shifts data in k‐space. Using this formalism, it is shown that there exists an infinitesimal GRAPPA operator that shifts data in k‐space by arbitrarily small amounts. Other desired k‐space shifts can then be accomplished through repeated applications of this infinitesimal GRAPPA operator. Implications of these ideas are described. Magn Reson Med, 2005. Β© 2005 Wiley‐Liss, Inc.

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