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Abstract #4399

Analogy of phase-constrained parallel MRI formulations

Martin Blaimer 1 , Marius Heim 2 , Daniel Neumann 1 , Peter M. Jakob 1,2 , and Felix A. Breuer 1

1 Research Center Magnetic-Resonance-Bavaria (MRB), Wrzburg, Bavaria, Germany, 2 Department of Experimental Physics 5, University of Wrzburg, Wrzburg, Bavaria, Germany

One major drawback of parallel MRI (pMRI) is the noise amplification due to the reconstruction process. The noise amplification originates from the formulation of pMRI as an inverse problem. Phase-constrained algorithms achieve a significant SNR improvement by constraining all elements of the solution to be real-valued. In the original formulation, the SENSE reconstruction problem is split into real- and imaginary parts and is referred to as phase-constrained SENSE. An alternative formulation utilizes conjugate k-space symmetry by generating additional virtual coils. The purpose of this work is to demonstrate by mathematical analysis and imaging experiments that both formulations are equivalent.

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