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Enhanced POCS reconstruction for partial Fourier imaging in multi‐echo and time‐series acquisitions
Author(s) -
Koopmans Peter J.,
Pfaffenrot Viktor
Publication year - 2021
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.28417
Subject(s) - undersampling , series (stratigraphy) , fourier transform , projection (relational algebra) , phase (matter) , algorithm , computer science , echo (communications protocol) , mathematics , physics , artificial intelligence , mathematical analysis , geology , paleontology , computer network , quantum mechanics
Purpose To improve partial Fourier (PF) imaging reconstruction in time‐series or multi‐echo acquisitions. Methods Many PF methods use a phase estimate to restore Hermitian symmetry before filling missing k‐space entries with measured data from the opposite half. This estimate is obtained from the symmetrically sampled, central part of k‐space and its low‐resolution results in artifacts near high‐frequency phase effects (eg, tissue boundaries, vessels), limiting PF undersampling. Enhanced projection onto convex sets (POCS) uses full‐resolution phase estimates and relies on alternating the half of k‐space that is acquired in time series or multi‐echo acquisitions. This enables full‐resolution phase estimates to be calculated for each volume/echo, which are fed into the POCS framework. We apply enhanced POCS to high‐resolution multi‐echo FLASH and 3D‐EPI functional MRI time‐series data. Results Reconstruction errors and their bias dramatically reduce compared with existing methods, without leading to temporal blurring in time‐series acquisitions. This allows for higher PF acceleration factors at virtually no cost. Conclusion Enhanced POCS results in superior PF reconstructions. Furthermore, as the resolution of the phase estimate used for symmetry correction no longer depends on the PF factor, enhanced POCS is more robust against larger PF omission.