Voxel-shift and interpolation for Hadamard-encoded MR images

Although Fourier gradient phase-encoding and Hadamard radio-frequency encoding are two established spatial MR localization techniques, the absence of voxel-shift and interpolation postprocessing algorithms for the latter has always placed it at a discouraging disadvantage. This article presents a method for voxel-shift and interpolation of Hadamard-encode data and demonstrates both theoretically and experimentally the similarities of the respective operations between the two localization methods.