Parallel magnetic resonance imaging using the GRAPPA operator formalism
Magnetic Resonance in Medicine2005Vol. 54(6), pp. 1553–1556
Citations Over TimeTop 10% of 2005 papers
Mark A. Griswold, Martin Blaimer, Felix Breuer, Robin M. Heidemann, Matthias Mueller, Peter M. Jakob
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.
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