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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