A higher dimensional homodyne filter for phase sensitive partial Fourier reconstruction of magnetic resonance imaging

The aim of this paper is to introduce procedural steps for extension of the 1D homodyne phase correction for k-space truncation in all gradient encoding directions. Compared to the existing method applied to 2D partial k-space, signal losses introduced by the phase correction filter are observed to be minimal for the modified approach. In addition, the modified form of phase correction retains the inherent property of homodyne filtering for elimination of incidental phase artifacts due to truncation. In parallel imaging, this new form of homodyne filtering is shown to be effective for minimizing the signal losses, when each of the channel k-spaces is truncated along both phase and frequency-encode directions. This is illustrated with 2D partial k-space for flow compensated multichannel susceptibility weighted imaging. Extension of this method to 3D partial k-space shows improved reconstruction of flow information in phase contrast magnetic resonance angiography with reduced blur and enhanced background suppression.