Parallel magnetic resonance imaging using the GRAPPA operator formalism
Open Access
- 27 October 2005
- journal article
- research article
- Published by Wiley in Magnetic Resonance in Medicine
- Vol. 54 (6), 1553-1556
- https://doi.org/10.1002/mrm.20722
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.Keywords
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