Partial Fourier Compressed Sensing

Introduction:Partial k-space sampling is often used to reduce the acquisition time (half-Fourier imaging) or shorten the echo time (partialechoimaging) [1]. In the striving to minimizeimaging time, even higher dimensional partial Fourier sampling has been proposed, measuring a reduced k-space in two dimensions [2]. However, with such undersampling there is always a part of k-space that cannot be recovered. Combining partialFourier imaging with other constrained reconstruction methods could improve the reconstruction and yield further acceleration.This has been shownin several papers for a combined parallelimaging-partial Fourier reconstruction [3-5].In this work, we consider the combination of partial Fourierimaging with compressed sensing (CS) [6-8] and furtherextend the reconstruction to multi-coil acquisition.