Mathematical analysis of SMASH-based reconstruction methods for parallel MRI

Document Type

Article

Publication Date

12-1-2011

Abstract

In this paper, the extended SMASH algorithm in the Fourier domain is presented as a reconstruction method equivalent to the generalized SENSE (GenSENSE) reconstruction in the spatial domain mathematically. Both algorithms reconstruct full resolution images for the parallel magnetic resonance imaging (pMRI). The equivalent relationship between the two algorithms is reinterpreted in the functional expansion form as linear combinations where the reconstruction coefficients are decided by the coil sensitivity maps. As a result, the previously developed SMASH-based algorithms can be recast as approximations of the GenSENSE. In addition, the role that the auto-calibration signal (ACS) lines played in the SMASH-based reconstruction is further enlightened by revealing the advantages and limitations of the ACS lines in reconstructing high quality sensitivity-invariant MRI images. © 2011, TSI® Press.

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