Figure 2. Quantitative SNR maps derived from (a) the pseudo multiple-replica method (Mean SNR: 19.34), (b) directly from the proposed method (Mean SNR: 19.75), and (c) neglecting kernel phase correction (Mean SNR: 20.13). The difference map (d) is from (a) and (b), (e) is from (a) and (c). The deviation of the reconstructed synthetic noise and the calculated noise map is shown in (f) and (g), with similar RMS (~1.02). Both (d) and (f) show that the noise map with phase correction is more consistent with the reference method.

Figure 1. (a) schematic of the SG-DK method to obtain the k-space data for a unaliased slice. Two kernel sets are calculated for odd and even lines in each unaliased slice respectively; (b) schematic of the kernel rearranging. By exchanging some kernel values, the new kernel sets can be applied on disjunct sets of k-space in collapsed data respectively. The final unaliased slice is then obtained by adding two reconstructed data from these two kernels. It notes that the full k-space of collapsed data has been divided into two sets with zero-padded lines (indicated with dot lines).